BEGIN:VCALENDAR VERSION:2.0 PRODID:-//wp-events-plugin.com//7.2.3.1//EN TZID:Asia/Jerusalem X-WR-TIMEZONE:Asia/Jerusalem BEGIN:VEVENT UID:1@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20221222T123000 DTEND;TZID=Asia/Jerusalem:20221222T133000 DTSTAMP:20250109T093457Z URL:https://math.technion.ac.il/en/events/tbd-algebra-seminar/ SUMMARY:Diophantine Approximation in higher dimensions DESCRIPTION:Lecturer:Evgeny Feigin\n Location:Amado 719\, Technion\n Speake r: Nikolay Moshchevitin\n\n \;\n\nDate &\; Place: Monday\, 12 Dec ember 2022  15:30 - 16:30\, Technion\, Amado 232\n\nLink to full even t description\n # CATEGORIES:Seminars LOCATION:Amado 719\, Technion END:VEVENT BEGIN:VEVENT UID:6@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20221227T103000 DTEND;TZID=Asia/Jerusalem:20221227T123000 DTSTAMP:20250109T093458Z URL:https://math.technion.ac.il/en/events/tba-4/ SUMMARY:Between vaccine effectiveness and efficacy: Third dose experience DESCRIPTION:Lecturer:Yotam Smilansky (Rutgers)\n Location:814\, Technion\n Speaker: Yair Goldberg\, IE\n\n \;\n\nDate &\; Place: Tuesday\, 2 7 December 2022  10:30 - 12:30\, Technion\, Amado 814\n\nLink to full event description10\n CATEGORIES:Seminars LOCATION:814\, Technion END:VEVENT BEGIN:VEVENT UID:18@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230322T143000 DTEND;TZID=Asia/Jerusalem:20230322T152000 DTSTAMP:20250109T093458Z URL:https://math.technion.ac.il/en/events/nathan-lindzey-jack-derangements / SUMMARY:Nathan Lindzey - Jack Derangements DESCRIPTION:Lecturer:\n Location:\n The Jack characters are a one-parameter deformation of the characters of the symmetric group\; a deformation give n by the coefficients in the expansion of the Jack polynomials in the bas is of power-sum symmetric functions. For each integer partition of n\, we give a simple combinatorial formula for the sum of the corresponding Jack character evaluated over all integer partitions of n with no singleton par ts. As a corollary\, we obtain closed forms for the eigenvalues of the so- called permutation and perfect matching derangement graphs\, resolving an open question in algebraic graph theory. Our proofs center around a Jack a nalogue of a hook product related to Cayley's Omega-process in classical i nvariant theory\, which we call the principal lower hook product.\n CATEGORIES:Combinatorics Seminar,Seminars END:VEVENT BEGIN:VEVENT UID:33@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230329T113000 DTEND;TZID=Asia/Jerusalem:20230329T123000 DTSTAMP:20250109T093458Z URL:https://math.technion.ac.il/en/events/norms-of-basic-operators-in-vect or-valued-model-spaces-and-de-branges-spaces/ SUMMARY:Norms of basic operators in vector valued model spaces and de Brang es spaces DESCRIPTION:Lecturer:Kousik Dhara\n Location:Amado 814\n Abstract attached in the link.\n CATEGORIES:Operator Algebras/Operator Theory,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:29@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230329T143000 DTEND;TZID=Asia/Jerusalem:20230329T152000 DTSTAMP:20250109T093459Z URL:https://math.technion.ac.il/en/events/pavel-chebotarev-majority-domina tion-on-regular-graphs-a-new-look/ SUMMARY:Pavel Chebotarev - Majority domination on regular graphs: A new loo k DESCRIPTION:Lecturer:Pavel Chebotarev\n Location:814 Amado\n A {–1\, 1}-v ertex-labeled d-regular graph with loops having n vertices and h labels 1 is favorable if a majority of its vertices have a positive sum of labels i n their neighborhood. Given n and d\, what is the minimum h for which ther e exists a favorable graph? What is the minimum h for which all labeled gr aphs are favorable? We answer these questions for all odd n and d\, interp ret the results from a decision point of view\, and discuss links to exist ing literature.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:32@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230330T113000 DTEND;TZID=Asia/Jerusalem:20230330T123000 DTSTAMP:20250109T093459Z URL:https://math.technion.ac.il/en/events/bounds-between-the-time-complexi ty-of-the-word-problem-of-a-group-and-the-dehn-function-of-its-higman-embe dding/ SUMMARY:Bounds between the time complexity of the word problem of a group a nd the Dehn function of its Higman embedding DESCRIPTION:Lecturer:Bogdan Chornomaz (Technion)\n Location:Amado 719\n PLE ASE NOTE THE NEW ROOM - AMADO 719\nAbstract: I will talk about a recent re sult of Frank Wagner and myself\, where we prove that S-machines can emula te Turing machines in quasilinear time. This implies\, for example\, that a group G whose word problem can be solved in time T(n) can be isometrical ly embedded into a finitely presented group H such that the Dehn function of H is at most $n^2 T(n^2)^{2+\\epsilon}$\, and the Dehn function of G in H is at most $T(n)^{2+\\epsilon}$\, improving the bounds of Sapir\, Birge t\, Rips\, and Ol'shanskii ($n^2 T(n^2)^4$ and $T(n)^4$ respectively).\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:30@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230330T123000 DTEND;TZID=Asia/Jerusalem:20230330T143000 DTSTAMP:20250109T093459Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-poisso n-lie-groups-and-cluster-structures/ SUMMARY:Cable Car Algebra Seminar: Poisson-Lie groups and cluster structure s DESCRIPTION:Lecturer:Alek Vainstein (Haifa U.)\n Location:Amado 814\n It is well known that cluster structures and Poisson structures in the algebra of regular functions on a quasi-affine variety are closely related. In thi s talk\, I will discuss this connection for Poisson structures on a simple simply connected complex Lie group G defined by a pair of classical R-mat rices. The key element of the construction is a rational Poisson map from the group with a bracket defined by pair of suitably chosen standard R-mat rices to the same group with an arbitrary pair of R-matrices. In the case\ , of G=SL_n one can build explicitly the corresponding cluster structure a nd prove its regularity and completeness.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:34@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230402T143000 DTEND;TZID=Asia/Jerusalem:20230402T153000 DTSTAMP:20250109T093459Z URL:https://math.technion.ac.il/en/events/directional-asymptotics-of-fejer -monotone-sequences/ SUMMARY:Directional asymptotics of Fejér monotone sequences DESCRIPTION:Lecturer:Manish Krishan Lal (University of British Columbia)\n Location:Amado 814\n Abstract:  The notion of Fejér monotonicity is inst rumental in unifying the convergence proofs of many iterative methods\, su ch as the Krasnoselskii–Mann iteration\, the proximal point method\, the Douglas-Rachford splitting algorithm\, and many others. In this paper\, w e present directionally asymptotical results of strongly convergent subseq uences of Fejér monotone sequences. We also provide examples to show that the sets of directionally asymptotic cluster points can be large\, and th at weak convergence is needed in infinite-dimensional spaces.\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:28@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230403T123000 DTEND;TZID=Asia/Jerusalem:20230403T133000 DTSTAMP:20250109T093459Z URL:https://math.technion.ac.il/en/events/the-hidden-structure-in-aperys-p roof/ SUMMARY:The hidden structure in Apery's proof DESCRIPTION:Lecturer:Ofir David (Technion)\n Location:Amado 814\n In 1978\, Apery proved the irrationality of the Riemann zeta value ζ(3) by utilizi ng a fast converging sequence of rational approximations. However\, the de tails of his proof remained difficult to comprehend. Since then\, many mat hematicians have attempted to either elucidate Apery's approach or seek ou t new proofs altogether.\n\nInspired by computer algorithms to find such a pproximations\, an idea about a hidden mathematical structure behind the p roof was beginning to formalize. This structure\, which we call the conser vative matrix field\, not only clarifies some of Apery's proof but also of fers a framework for Apery-like irrationality proofs and relates them to t he broader themes of number theory and dynamics. In this talk\, we will ex plore the properties of the conservative matrix field and discuss how it c an be hopefully applied to prove irrationality for other mathematical cons tants.\n\nThis research was done as part of the work in the Ramanujan Mach ine group.\n\n CATEGORIES:Faculty Events,Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:16@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230403T170000 DTEND;TZID=Asia/Jerusalem:20230403T180000 DTSTAMP:20250109T093500Z URL:https://math.technion.ac.il/en/events/elisha-netanyahu-memorial-lectur e/ SUMMARY:Elisha Netanyahu Memorial Lecture DESCRIPTION:Lecturer:Prof. Claire Voisin (Collège de France\, France \n L ocation:Sego 1\n Title:  Decomposition of the diagonal\nSummary:  The  construction and study of algebraic subvarieties of an  algebraic variety are a    central problem of algebraic geometry\, which\, over the comp lex numbers\, can be studied  via  Hodge theory. For any algebraic varie ty  X\,  their is the  diagonal of X\,  which provides an algebraic su bvariety of the   product X^2. The question of  decomposing ``à la Kü nneth" the  cycle of the  diagonal   gives rise to  diverse obstructi ons. I will discuss the   decomposition of the  diagonal in the sense of   Bloch and  Srinivas and its  applications\, for  example to  ration ality questions.\n CATEGORIES:Netanyahu Memorial Lecture,Seminars LOCATION:Sego 1 END:VEVENT BEGIN:VEVENT UID:38@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230417T123000 DTEND;TZID=Asia/Jerusalem:20230417T133000 DTSTAMP:20250109T093500Z URL:https://math.technion.ac.il/en/events/gdrt-seminar-approximation-of-di agonally-invariant-measure-by-tori-measures/ SUMMARY:Approximation of diagonally invariant measure by tori measures DESCRIPTION:Lecturer: Yuval Yifrach (Technion)\n Location:Amado 814\n \n\n\ nWe consider the family of periodic measures for the full diagonal action on the space of unimodular lattices. This family is important and natural due to its tight relation to class groups in number fields. We show that m any natural families of measures on the space of lattices can be approxima ted using this family (in the weak sense). E.g.\, we show that for any 0&l t\;c\\leq 1\, the measure cm_{X_n} can be approximated this way\, where m_ {X_n} denotes the Haar probability measure on X_n. Moreover\, we show that non ergodic measures can be approximated. Our proof is based on the equid istribution of Hecke neighbors and on constructions of special number fiel ds. We will discuss the results\, alternative ways to attack the problem\, and our method of proof.\nThis talk is based on a joint work with Omri So lan.\n\n\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:45@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230417T133000 DTEND;TZID=Asia/Jerusalem:20230417T143000 DTSTAMP:20250109T093500Z URL:https://math.technion.ac.il/events/%d7%a1%d7%9e%d7%99%d7%a0%d7%a8-%d7% 91%d7%a0%d7%95%d7%a9%d7%90%d7%99-%d7%94%d7%95%d7%a8%d7%90%d7%94/ SUMMARY:סמינר בנושאי הוראה DESCRIPTION:Lecturer:\n Location:\n תאריך: יום שני 17.4.2023 (ש ימו לב שהמפגש הפעם ביום שני)\n\nשעה: 13:30\n\nמ קום: אמאדו 232 ובזום https://technion.zoom.us/j/99459766967\ n\n \;\n\nכותרת: איך אפשר להגביר מעורבות וה שתתפות של סטודנטים בקורסי בסיס במתמטיקה? ואיך זה קשור לתחושת מסוגלות עצמית?\n\nדוב רות: ד״ר אריאל לייטנר\, מכללת אפקה\n\nתקציר : רוצים שהסטודנטים שלכם ישתתפו יותר בשיע ור ויתלהבו מהחומר הנלמד? אז המפגש הזה בשב ילכם!\n\nנספר על תהליך פדגוגי שפיתחנו וייש מנו במהלך סמסטר שלם בקורס חדו"א 1 לסטודנט ים להנדסה. התהליך מבוסס על שילוב של הוראת עמיתים ועבודה עצמית שבועית בכיתת ההרצאה \, תוך שימוש באפליקציית שאלונים מתמטיים ד יגיטלית בשם MathMatize  (שנתנסה בה גם במהלך הס מינר).\n\nבסמינר נדון באתגרים משותפים\, נשת ף אתכם בתהליך שעברנו\, נספר על נתונים שאס פנו\, ונדווח על ממצאים ראשונים.\n\n \;\n CATEGORIES:Seminars END:VEVENT BEGIN:VEVENT UID:19@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230417T153000 DTEND;TZID=Asia/Jerusalem:20230417T163000 DTSTAMP:20250109T093500Z URL:https://math.technion.ac.il/en/events/non-additive-geometry-and-froben ius-correspondences/ SUMMARY:Non-Additive Geometry and Frobenius Correspondences DESCRIPTION:Lecturer:Shai Haran\n Location:Amado 232\n The usual language o f algebraic geometry is not appropriate for Arithmetical\n\ngeometry: addi tion is singular at the real prime. We developed\n\ntwo languages that ove rcome this problem: one replace rings by the collection\n\nof “vectors ” or by bi-operads and another based on “matrices” or\n\nprops. Thes e are the two languages of [Har17]\, but we omit the involutions\n\nwhich brings considerable simplifications. Once one understands the\n\ndelicate commutativity condition one can proceed following Grothendieck\n\nfootstep s exactly. The square matrices \, when viewed up to conjugation\,\n\ngive us new commutative rings with Frobenius endomorphisms.\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:40@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230418T153000 DTEND;TZID=Asia/Jerusalem:20230418T163000 DTSTAMP:20250109T093500Z URL:https://math.technion.ac.il/en/events/clarke-jacobians-bouligand-jacob ians-and-compact-connected-sets-of-matrices/ SUMMARY:Clarke Jacobians\, Bouligand Jacobians\, and compact connected sets of matrices DESCRIPTION:Lecturer:Marian Fabian (Institute of Mathematics of the Czech A cademy of Sciences) \n Location:Room 814\, Amado Mathematics Building \n Seminar: Nonlinear Analysis and Optimization\n\nSpeaker:  Mar ian Fabian  (Institute of Mathematics of the Czech Academy of Sciences)\n \nAbstract: We show that every compact convex set of matrices can be under stood as the Clarke Jacobian\n\nof a suitable Lipschitz mapping. This can be extended to compact connected sets and Bouligand Jacobians.\nWe will us e this for discussing the possibility of finding Lipschitz inverses of Lip schitz mappings.\n\nThe talk follows a recent joint paper with D. Bartl an d J. Kolar.\n\n \;\n\nPlease note the unusual time!\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Room 814\, Amado Mathematics Building END:VEVENT BEGIN:VEVENT UID:35@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230419T143000 DTEND;TZID=Asia/Jerusalem:20230419T152000 DTSTAMP:20250109T093500Z URL:https://math.technion.ac.il/en/events/asaf-cohen-antonir-tau-the-upper -tail-problem-for-irregular-graphs/ SUMMARY:Asaf Cohen Antonir (TAU) -- The upper tail problem for irregular gr aphs DESCRIPTION:Lecturer:Asaf Cohen Antonir\n Location:814 Amado\n For any grap h H we let X_H denote the random variable counting the number of (unlabele d) copies of H in G_{n\,p}.The study of this random variable goes way back to the early works of Erdos and Renyi and its typical deviations are well understood. In this talk\, we will discuss large deviations of X_H. In pa rticular\, we will be interested in the upper tail problem\, that is – w hat is the probability of X_H >\; (1+delta) E[X_H]?The upper tail proble m proved to be very difficult\, and even when H is the triangle\, it was c ompletely solved only recently by a breakthrough due to Harel\, Mousset an d Samotij. More generally\, they gave almost optimal bounds when H is a no n-bipartite regular graph. Building on this breakthrough\, Basak and Basu obtained optimal bounds for any regular graph H.In this talk we will discu ss the difficulties of using this method in the case of irregular graphs. We will show how to overcome these issues for a certain range of p and imp rove the state-of-the-art result of Cook\, Dembo\, and Pham for almost all graphs.The talk will be based on a joint work with Matan Harel\, Frank Mo usset and Wojciech Samotij.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:39@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230420T113000 DTEND;TZID=Asia/Jerusalem:20230420T123000 DTSTAMP:20250109T093500Z URL:https://math.technion.ac.il/en/events/stationary-random-subgroups-in-n egative-curvature/ SUMMARY:Stationary random subgroups in negative curvature DESCRIPTION:Lecturer:Arie Levit (TAU)\n Location:Amado 719\n Let G be a ran k one simple Lie group or an hyperbolic group. In a joint work with Ilya G ekhtman we show that non-free stationary actions of G have "large" stabili zers - if the stabilizers are discrete then they have full limit sets and critical exponents bounded away from 0. As an application\, we use random walk techniques to obtain a conditional analogue of the recent theorem of Fraczyk-Gelander in rank one. Namely\, if the bottom of the spectrum of t he Laplacian on the hyperbolic manifold M is equal to that of its universa l cover then M has points with arbitrary large injectivity radius.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:36@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230420T120000 DTEND;TZID=Asia/Jerusalem:20230420T130000 DTSTAMP:20250109T093501Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-semior thogonal-decompositions-of-derived-categories-of-moduli-spaces-of-vector-b undles-on-a-curve/ SUMMARY:Cable Car Algebra Seminar: Semiorthogonal decompositions of derived categories of moduli spaces of vector bundles on a curve. DESCRIPTION:Lecturer:Jenia Tevelev (U. Mass. Amherst)\n Location:U. Haifa\, Main building room 626\n Let C be a smooth projective curve of genus at l east 2 and let N be the moduli space of stable rank 2 vector bundles on C with fixed odd determinant. We construct a semi-orthogonal decomposition o f the bounded derived category of N conjectured by Narasimhan and by Belma ns\, Galkin and Mukhopadhyay. It has two blocks for each i-th symmetric po wer of C for i = 0\,...\,g−2 and one block for the (g − 1)-st symmetri c power.\nThe proof contains two parts. Semi-orthogonality\, proved jointl y with Sebastian Torres\, relies on hard vanishing theorems for vector bun dles on the moduli space of stable pairs. The second part\, elimination of the phantom\, requires analysis of weaving patterns in derived categories .\n CATEGORIES:Algebra Seminar,Seminars LOCATION:U. Haifa\, Main building room 626 END:VEVENT BEGIN:VEVENT UID:37@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230420T130000 DTEND;TZID=Asia/Jerusalem:20230420T140000 DTSTAMP:20250109T093501Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-derang ements-in-permutation-groups/ SUMMARY:Cable Car Algebra Seminar: Derangements in permutation groups DESCRIPTION:Lecturer:Danielle Garzoni (Tel Aviv University)\n Location:U. H aifa\, Main building room 626\n Given a group G acting on a set X\, an ele ment g of G is called a derangement if it acts without fixed points on X. The Boston--Shalev conjecture\, proved by Fulman and Guralnick\, asserts t hat in a finite simple group G acting transitively on X\, the proportion o f derangements is at least some absolute constant c >\; 0. We will first give an introduction to the subject\, highlighting some connections with number theory. Then\, we will see a version of this conjecture for the pro portion of *conjugacy classes* containing derangements in finite groups of Lie type. Joint work with Sean Eberhard.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:U. Haifa\, Main building room 626 END:VEVENT BEGIN:VEVENT UID:27@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230420T143000 DTEND;TZID=Asia/Jerusalem:20230420T153000 DTSTAMP:20250109T093501Z URL:https://math.technion.ac.il/en/events/graduation-seminar-tom-yotam/ SUMMARY:MSc Graduation Seminar - Measurement Simplification in POMDP with Performance Guarantees DESCRIPTION:Lecturer:Tom Yotam\n Location:ZOOM\n MSc Graduation Seminar - M easurement Simplification in POMDP with Performance Guarantees\nAdvisor: A ssociate Professor Vadim Indelman\nAbstract:\nPOMDP planning is at the hea rt of any autonomous system acting with imperfect information. The cost of solving the POMDP planning problem is exponential in the action and obser vation spaces\, thus rendering it unfeasible for many online systems. We p ropose a novel approach to efficient decision making\, by simplifying the observation space. We formulate analytical bounds on the expected informa tion-theoretic reward\, for the most general belief distributions. These b ounds are then used to plan efficiently while keeping performance guarant ees. We propose a specific variant of these bounds for Gaussian beliefs a nd show performance improvement of at least a factor of 4.\n\n \;\n\n& nbsp\;\n\n \;\n https://technion.zoom.us/j/97808802863?pwd=aVRUZ3UvOGZ aajlFRnU2T3FiNnlxdz09 CATEGORIES:Graduation Seminars,Seminars LOCATION:ZOOM END:VEVENT BEGIN:VEVENT UID:41@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230424T113000 DTEND;TZID=Asia/Jerusalem:20230424T123000 DTSTAMP:20250109T093502Z URL:https://math.technion.ac.il/en/events/gromovs-h-principle-for-corank-t wo-distribution-of-odd-rank-with-maximal-first-kronecker-index/ SUMMARY:Gromov's h-principle for corank two distribution of odd rank with m aximal first Kronecker index DESCRIPTION:Lecturer:Igor Zelenko (Texas A&\;M)\n Location:Amado 719\n W hile establishing various versions of the h-principle for contact distribu tions (Eliashberg (1989) in dimension 3\, Borman-Eliashberg-Murphy (2015) in arbitrary dimension\, and even-contact contact (D. McDuff\, 1987) distr ibutions are among the most remarkable advances in differential topology i n the last four decades\, very little is known about analogous results for other classes of distributions\, e.g. generic distributions of corank 2 o r higher. The smallest dimensional nontrivial case of corank 2 distributio ns are Engel distributions\, i.e. the maximally nonholonomic rank 2 distri butions on 4-manifolds. This case is highly nontrivial and was treated rec ently by Casals-Pérez-del Pino-Presas (2017) and Casals-Pérez-Presas (20 17). In my talk\, I will show how to use the method of convex integration in order to establish all versions of the h-principle for corank 2 distrib utions of arbitrary odd rank satisfying a natural generic assumption on th e associated pencil of skew-symmetric forms. During the talk\, I will try to give all the necessary background related to the method of convex integ ration in principle. This is the joint work with Milan Jovanovic\, Javier Martinez-Aguinaga\, and Alvaro del Pin.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:48@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230424T133000 DTEND;TZID=Asia/Jerusalem:20230424T143000 DTSTAMP:20250109T093502Z URL:https://math.technion.ac.il/en/events/integrable-pdes-and-long-diagona l-pentagram-maps/ SUMMARY:Integrable PDEs and long-diagonal pentagram maps DESCRIPTION:Lecturer:Boris Khesin (U of Toronto)\n Location:Amado 719\n The pentagram map is a beautiful discrete\, completely integrable system with many relations to other mathematical domains. It was originally defined b y R.Schwartz in 1992 as a map on plane convex polygons\, where a new polyg on is spanned by the “shortest” diagonals of the initial one. We descr ibe various extensions and the geometry of this map in higher dimensions\, and in particular the recently found long-diagonal maps encompassing know n integrable cases. We also describe the corresponding continuous limits o f such maps\, which happen to coincide with equations of the KdV hierarchy \, generalizing the Boussinesq equation in 2D. This is a joint work with F edor Soloviev and Anton Izosimov.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:53@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230501T143000 DTEND;TZID=Asia/Jerusalem:20230503T153000 DTSTAMP:20250109T093502Z URL:https://math.technion.ac.il/en/events/the-israel-pollak-distinguished- lecture-series-for-2022-2023-prof-lenya-ryzhik/ SUMMARY:The Israel Pollak Distinguished Lecture series for 2022-2023 – Pr of. Lenya Ryzhik DESCRIPTION:Lecturer:Prof. Lenya Ryzhik\n Location:Amado 232\n The Faculty of Mathematics cordially invites you to the Israel Pollak Distinguished L ecture Series (see the attached invitation).\n\n \;\n\nThe lectures w ill be given by Prof. Lenya Ryzhik (Stanford U.):\n\n \;\n\nLecture 1: "The resilience of the Fisher-KPP equation" - Monday\, May 1\, 2023\,   14:30\, Amado 232\, Faculty of Mathematics.\n\n \;\n\nLecture 2:  "The Fisher-KPP equation and voting models" - Wednesday\, May 3\, 2023\ , 14:30\, Amado 232\, Faculty of Mathematics.\n\n \;\n\nLight refre shments will be served before the lectures on the 8th floor.\n\n \;\n\ nWe will be happy to see you in the lectures.\n\n \;\n CATEGORIES:Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:49@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230503T113000 DTEND;TZID=Asia/Jerusalem:20230503T123000 DTSTAMP:20250109T093502Z URL:https://math.technion.ac.il/en/events/isometric-dilation-and-von-neuma nn-inequality-for-a-class-of-n-tuples-of-commuting-contractions/ SUMMARY:Isometric dilation and von Neumann inequality for a class of n-tupl es of commuting contractions DESCRIPTION:Lecturer:Sibaprasad Barik (BGU)\n Location:Amado 814\n It is we ll known that for an arbitrary n-tuple (n >\; 2) of commuting contracti ons\, neither isometric dilation exists nor the celebrated von Neumann ine quality holds in general. However\, both of the above are true for a singl e contraction or for a pair of commuting contractions\, due to Sz.-Nagy an d Ando\, respectively. In this talk\, we will discuss a class of n-tuples of commuting contractions which possess isometric dilations and satisfy v on Neumann inequality. We will see that the dilations are explicit on some vector-valued Hardy space over the unit polydisc\, and for some particula r tuples in this class\, the explicitness helps us to refine von Neumann i nequality in terms of an algebraic variety in the closure of the unit poly disc in the n-dimensional complex plane.\n\n(This is a joint work with Ba ta Krishna Das\, Kalpesh Haria and Jaydeb Sarkar)\n CATEGORIES:Operator Algebras/Operator Theory,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:54@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230503T123000 DTEND;TZID=Asia/Jerusalem:20230503T133000 DTSTAMP:20250109T093502Z URL:https://math.technion.ac.il/events/%d7%97%d7%a9%d7%91%d7%95%d7%9f-%d7% 93%d7%99%d7%a4%d7%a8%d7%a0%d7%a6%d7%99%d7%90%d7%9c%d7%99-%d7%a2%d7%9c-%d7% 9e%d7%a8%d7%97%d7%91%d7%99%d7%9d-%d7%9c%d7%90-%d7%a9%d7%92%d7%a8%d7%aa%d7% 99%d7%99%d7%9d/ SUMMARY:"חשבון דיפרנציאלי על מרחבים לא שגרתי ים". DESCRIPTION:Lecturer: (אונ׳ תל אביב ואונ׳ טורונטו ) יעל קרשון\n Location:באמאדו 232 \n כותרת: חשבון דיפרנציאלי על מרחבים לא שגרתיים\n תקציר:  נציג שני מבנים מתמטים - "מבנה פונקציונלי ” ו-“דיפאולוגיה שנותנים משמעות למושג הח לקוּת (גזירוּת מכל סדר) גם במרחבים שאינם  ממוּדלים על R^nאפילו כאלה שהטופולוגיה של הם טריביאלית. עבור זרימה לינארית על הטור וס\, ניתן לשחזר את שיפוע הזרימה (עד כדי סי מטריה של הטורוס) מתוך המבנה החלק על המנה. אין אנו יודעים אם ניתן לשחזרו מתוך המבנ ה החלק (או אפילו מתוך הטופולוגיה) של מסלו ל.\n \;\n קישור לאירוע בדף הפייסבוק הפקול טי:\n\n*ההרצאה מיועדת לסטודנטים החל מהתואר הראשון.\nלפני הסמינר מוזמנים להתכבד בפיצ ה.\n \n https://technion.zoom.us/j/91393193285 CATEGORIES:Seminars LOCATION:באמאדו 232 END:VEVENT BEGIN:VEVENT UID:47@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230503T143000 DTEND;TZID=Asia/Jerusalem:20230503T152000 DTSTAMP:20250109T093502Z URL:https://math.technion.ac.il/en/events/shachar-lovett-ucsd-tba/ SUMMARY:Shachar Lovett (UCSD) -- The monomial structure of boolean function s DESCRIPTION:Lecturer:Shachar Lovett\n Location:814 Amado\n Let f:{0\,1}^n \ \to {0\,1} be a boolean function. It can be uniquely represented as a mult ilinear polynomial. What is the structure of its monomials? This question turns out to be connected to some well-studied problems\, such as the log- rank conjecture in communication complexity and the union-closed conjectur e in combinatorics. I will describe these connections\, and a new structur al result\, showing that set systems of monomials of boolean functions hav e small hitting sets\, concretely of poly-logarithmic size. The proof uses a combination of algebraic\, probabilistic and combinatorial techniques.\ n\nBased on joint work with Alexander Knop\, Sam McGuire\, and Weiqiang Yu an.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:55@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230504T113000 DTEND;TZID=Asia/Jerusalem:20230504T123000 DTSTAMP:20250109T093502Z URL:https://math.technion.ac.il/en/events/automorphisms-of-the-fine-curve- graph/ SUMMARY:Automorphisms of the fine curve graph DESCRIPTION:Lecturer:Yvon Verberne (U of Toronto)\n Location:Amado 719\n Th e fine curve graph of a surface was introduced by Bowden\, Hensel and Webb . It is defined as the simplicial complex where vertices are essential sim ple closed curves in the surface and the edges are pairs of disjoint curve s. We show that the group of automorphisms of the fine curve graph is isom orphic to the group of homeomorphisms of the surface\, which shows that th e fine curve graph is a combinatorial tool for studying the group of homeo morphisms of a surface. This work is joint with Adele Long\, Dan Margalit\ , Anna Pham\, and Claudia Yao.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:17@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230507T090000 DTEND;TZID=Asia/Jerusalem:20230511T170000 DTSTAMP:20250109T093502Z URL:https://math.technion.ac.il/en/events/123-curves-surfaces-and-3-manifo lds/ SUMMARY:1\,2\,3: Curves\, Surfaces\, and 3-Manifolds DESCRIPTION:Lecturer:\n Location:\n  \;\nFor more information\n CATEGORIES:CMS Activities,Seminars END:VEVENT BEGIN:VEVENT UID:42@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230508T123000 DTEND;TZID=Asia/Jerusalem:20230508T133000 DTSTAMP:20250109T093503Z URL:https://math.technion.ac.il/en/events/tba/ SUMMARY:Periodic approximations of substitution dynamical systems DESCRIPTION:Lecturer:Lior Tenenbaum (Technion)\n Location:Amado 814\n \n\nI n studying higher dimensional Schrödinger operators of quasicrystals\, i t is advantageous to find periodic approximations\, given the known  theory for crystals.  Namely\, we seek periodic operators such that their spectrum converges as a set to the spectrum of the limiting operator (of the quasi-crystal). To get such periodic approximations\, one needs to study the convergence of the underlying dynamical systems.\n\n\n\n\nWe treat dynamical systems which are based upon substitutions. We find natu ral candidates of dynamical subsystems to approximate the substitutio n dynamical system. We provide a characterization when these converg e and estimates on the rate of convergence.\n\n\n\n\nSome well-known examp les of 1-dimensional and 2-dimensional substitution systems are discuss ed during the talk. These results also apply to non-commutative substitu tion systems\, recently introduced in [1]. This is based on a joint wor k with Ram Band\, Siegfried Beckus and Felix Pogorzelski.\n\n\n\n\n \; \n\n\n\n\n[1] Siegfried Beckus\, Tobias Hartnick\, and Felix Pogorzelski . Symbolic substitution systems\n\n\n\n\nbeyond abelian groups\, 2021. Ar xiv: 2109.15210\n\n\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:64@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230509T143000 DTEND;TZID=Asia/Jerusalem:20230509T153000 DTSTAMP:20250109T093503Z URL:https://math.technion.ac.il/en/events/gauss-legendre-features-for-scal able-gaussian-process-regression/ SUMMARY:Gauss-Legendre Features for Scalable Gaussian Process Regression DESCRIPTION:Lecturer:Paz Fink Shustin\n Location:Amado 814\n Gaussian proce sses provide a powerful probabilistic kernel learning framework\, which al lows high-quality nonparametric learning via methods such as Gaussian proc ess regression. Nevertheless\, its learning phase requires unrealistic mas sive computations for large datasets. In this talk\, I present a quadratur e-based approach for scaling up Gaussian process regression via a low-rank approximation of the kernel matrix. The low-rank structure is utilized to achieve effective hyperparameter learning\, training\, and prediction. Ou r Gauss-Legendre features method is inspired by the well-known random Four ier features approach\, which also builds low-rank approximations via nume rical integration. However\, our method is capable of generating high-qual ity kernel approximation using a number of features that is poly-logarithm ic in the number of training points\, while similar guarantees will requir e an amount that is at the very least linear in the number of training poi nts when using random Fourier features. The utility of our method for lear ning with low-dimensional datasets is demonstrated using numerical experim ents.\n\n \;\n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:63@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230510T013000 DTEND;TZID=Asia/Jerusalem:20230510T023000 DTSTAMP:20250109T093503Z URL:https://math.technion.ac.il/en/events/%d7%a7%d7%91%d7%95%d7%a6%d7%95%d 7%aa-%d7%aa%d7%a8%d7%92%d7%95%d7%9c-%d7%99%d7%99%d7%97%d7%95%d7%93%d7%99%d 7%95%d7%aa-%d7%a2%d7%91%d7%95%d7%a8-%d7%a1%d7%98%d7%95%d7%93%d7%a0%d7%98%d 7%99%d7%9d-%d7%a9/ SUMMARY:קבוצות תרגול ייחודיות עבור סטודנטים שחוזרים על קורס DESCRIPTION:Lecturer:רבקה אביטל\, הפקולטה למתמטיקה\ n Location:אמאדו 814 ובזום \n תאריך: יום רביעי 10.5 .2023\nשעה: 13:30\nמקום: אמאדו 814 ובזום\nhttps://technio n.zoom.us/j/99459766967\nכותרת: קבוצות תרגול ייחודי ות עבור סטודנטים שחוזרים על קורס\nדוברת: רבקה אביטל\, הפקולטה למתמטיקה\nתקציר: זה ל א סוד שנוכחות הסטודנטיות והסטודנטים בהר צאות ובתרגולים יורדת באופן עקבי ומדאיג. אצל כאלו שנאלצים לחזור על קורס בפעם השני יה התופעה קיצונית במיוחד\, ורבים מהם כמעט ולא מגיעים בכלל במהלך הסמסטר. לעיתים קרו בות סטודנטים אלו נכשלים פעם נוספת.\nבסמסט ר חורף תשפ״ג ביצענו פיילוט בקורס אינפי 2 מ׳\, שבו פתחנו קבוצת תרגול ייעודית וייחוד ית עבור סטודנטים שחוזרים על הקורס. במפגש נספר על אופן הלמידה וההוראה המיוחד בקבוצ ת החוזרים\, על הנתונים לגבי מידת ההצלחה ש ל הפיילוט\, וכן על תובנות ולקחים להמשך.\n h ttps://technion.zoom.us/j/99459766967 CATEGORIES:Seminars,Teaching Seminar LOCATION:אמאדו 814 ובזום END:VEVENT BEGIN:VEVENT UID:61@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230510T113000 DTEND;TZID=Asia/Jerusalem:20230510T123000 DTSTAMP:20250109T093503Z URL:https://math.technion.ac.il/en/events/borel-asymptotic-dimension-for-b oundary-actions-of-hyperbolic-groups/ SUMMARY:Borel asymptotic dimension for boundary actions of hyperbolic group s DESCRIPTION:Lecturer:Petr Naryshkin (Munster)\n Location:Amado 814\n We sho w that the orbit equivalence relation of an action of a hyperbolic group o n its Gromov boundary has finite Borel asymptotic dimension. As a corollar y\, that recovers the theorem of Marquis and Sabok which states that this orbit equivalence relation is hyperfinite.\n CATEGORIES:Operator Algebras/Operator Theory,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:56@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230510T143000 DTEND;TZID=Asia/Jerusalem:20230510T152000 DTSTAMP:20250109T093503Z URL:https://math.technion.ac.il/en/events/igal-sason/ SUMMARY:Igal Sason (Technion) -- On the Lovász theta-Function\, Graph Capa city\, and Strong Products DESCRIPTION:Lecturer:Igal Sason\n Location:814 Amado\n This talk is focused on observations on the Lovász theta-function and capacity of graphs. The se include a simple closed-form expression of that function for all strong ly regular graphs\, together with upper and lower bounds on that function for all regular graphs. These bounds are expressed in terms of the second- largest and smallest eigenvalues of the adjacency matrix of the regular gr aph\, together with sufficient conditions for equalities (the upper bound is due to Lovász\, followed by a new sufficient condition for its tightne ss). These results are shown to be useful in many ways\, leading to the de termination of the exact value of the Shannon capacity of some graphs\, ei genvalue inequalities\, and bounds on the clique and chromatic numbers of graphs.\n\nThe utility of these bounds is exemplified\, leading in some ca ses to an exact determination of the chromatic numbers of strong products or strong powers of graphs. The published version of this work as a journa l paper appears in https://doi.org/10.3390/e25010104.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:50@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230511T120000 DTEND;TZID=Asia/Jerusalem:20230511T130000 DTSTAMP:20250109T093503Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-comple ted-pbw-theorem-and-massey-operations-in-cohomology-of-nilpotent-lie-algeb ras/ SUMMARY:Cable Car Algebra Seminar: Completed PBW theorem and Massey operati ons in cohomology of nilpotent Lie algebras DESCRIPTION:Lecturer:Grigory Papayanov (North Eastern University &\; Wei zmann Institute)\n Location:U. Haifa\, Main building room 626\n The usual PBW theorem states that for a Lie algebra $g$ over a field of characterist ic zero the associated graded algebra of the universal enveloping $Ug$ wit h respect to the degree filtration is isomorphic to the symmetric algebra of $g$. The completed PBW theorem concerns the structure of the completion of $Ug$ in the augmentation ideal. The simplest examples shows that the c ompleted PBW theorem does not hold for general Lie algebras. We'll show th at it\, nevertheless\, holds for nilpotent Lie algebras. As a consequence\ , we'll prove that the cohomology algebra $H(g)$ of a nilpotent Lie algebr a is generated by $H^1(g)$ by (suitably defined) Massey operations. We'll also discuss why the more natural setting for this problem is that of coal gebras instead of algebras and some consequences of computations of cohomo logy of nilpotent Lie algebras.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:U. Haifa\, Main building room 626 END:VEVENT BEGIN:VEVENT UID:51@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230511T130000 DTEND;TZID=Asia/Jerusalem:20230511T140000 DTSTAMP:20250109T093503Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-genera lized-geometry-through-clifford-algebra-glasses/ SUMMARY:Cable Car Algebra Seminar: Generalized geometry through Clifford al gebra glasses DESCRIPTION:Lecturer:Roberto Rubio (Universitat Autònoma de Barcelona)\n Location:U. Haifa\, Main building room 626\n Generalized geometry is a rec ent approach to geometric structures encompassing symplectic and complex g eometry. At its heart lies a Clifford module\, which is essentially a glob al version of the spin representation of the Clifford algebra.\nIn this ta lk I will give an introduction to generalized geometry from the Clifford a lgebra viewpoint\, survey the main achievements of the theory and mention some recent results (joint with Joan Porti) concerning 3-manifolds.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:U. Haifa\, Main building room 626 END:VEVENT BEGIN:VEVENT UID:46@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230511T143000 DTEND;TZID=Asia/Jerusalem:20230511T153000 DTSTAMP:20250109T093503Z URL:https://math.technion.ac.il/en/events/fredholm-operators-on-interpolat ion-scales/ SUMMARY:“Fredholm Operators on Interpolation Scales” DESCRIPTION:Lecturer:Natan Kruglyak ( Linköping university\, Sweden )\n L ocation:Amado 814\n The theory of linear bounded Fredholm operators from a Banach space to another Banach space\n\nis well-known and has very import ant applications in analysis\, especially in integral equations and PDE's. \n\nIn the talk the theory of Fredholm operators on scales of interpolatio n spaces will be discussed and recent results\,\n\nobtained jointly with I . Asekritova and M. Mastylo\, will be presented.\n CATEGORIES:Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:67@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230515T123000 DTEND;TZID=Asia/Jerusalem:20230515T133000 DTSTAMP:20250109T093504Z URL:https://math.technion.ac.il/en/events/tba-9/ SUMMARY:Universality for R^d flows DESCRIPTION:Lecturer:Shrey Sanadhya (BGU)\n Location:Amado 814\n A dynamica l system is called universal if any system with lower entropy can be embed ded into it. In this talk\, we will discuss universality for R^d flows (d >\; 1) both in\nergodic and Borel contexts. We will discuss a specificat ion property that implies universality for R^d flows and provide an exampl e of a tiling dynamical system with this specification\nproperty. This is ongoing work with Tom Meyerovitch.\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:71@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230515T143000 DTEND;TZID=Asia/Jerusalem:20230515T153000 DTSTAMP:20250109T093504Z URL:https://math.technion.ac.il/en/events/m-sc-graduation-seminar-eneraliz ation-of-shelah-and-spencer-0-1-laws-to-multi-parameter-random-simplicial- complexes/ SUMMARY:M.Sc. graduation seminar: eneralization of Shelah and Spencer 0-1 L aws to Multi- Parameter Random Simplicial Complexes.  DESCRIPTION:Lecturer:עידן חן\n Location:אמאדו 814 \n תואר : מגיסטר\n מנחה : פרופ"ח רון רוזנטל\n כותרת\n Generalization of Shelah and Spencer 0-1 Laws to Multi - Parameter Random Simplicial Complexes\nאבסטרקט\nThe Erdős-Rényi model G(n\, p)\, i s a random graph on n vertices\, where each edge is added independently\nw ith probability p = p(n). Zero-one laws for random graphs and in particula r for G(n\, p) have\nbeen extensively studied since the appearance of rand om graph models. In particular\, two striking\nresults regarding the behav iour of first-order logic properties in the Erdős-Rényi model are:\n1. I n 1969 Glebski˘ı\, Kogan\, Liogon’ki˘ı\, Talanov and independently i n 1976 Fagin proved that for\np which is independent of n (fixed)\, every first order logic property of G(n\, p) is either true\nasymptotically almo st surely or false asymptotically almost surely.\n2. In 1988 Shelah and Sp encer extended the above zero-one law into the case where p = n−α for\n any irrational α.\nIn this talk we will discuss generalizations of such z ero-one laws to random simplicial complexes of\narbitrary dimension and sh ow that analogue statements hold.78/87\nThe talk is based on my master the sis under the supervision of 14on Rosenthal\n CATEGORIES:Graduation Seminars,Seminars LOCATION:אמאדו 814 END:VEVENT BEGIN:VEVENT UID:22@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230515T153000 DTEND;TZID=Asia/Jerusalem:20230515T163000 DTSTAMP:20250109T093504Z URL:https://math.technion.ac.il/en/events/tba-6/ SUMMARY:The Saga of the matrix Grothendieck inequality DESCRIPTION:Lecturer:Shmuel Friedland\n Location:Amado 232\n \n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:68@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230517T113000 DTEND;TZID=Asia/Jerusalem:20230517T123000 DTSTAMP:20250109T093504Z URL:https://math.technion.ac.il/en/events/towards-a-noncommutative-theory- of-cowen-douglas-class-of-noncommuting-operators/ SUMMARY:Towards a noncommutative theory of Cowen-Douglas class of noncommut ing operators DESCRIPTION:Lecturer:Prahllad Deb (BGU)\n Location:Amado 814\n The classica l Cowen-Douglas class of (commuting tuples of) operators possessing an ope n set of (joint) eigenvalues of finite constant multiplicity was introduce d by Cowen and Douglas generalizing the backward shifts. Their unitary equ ivalence classes are determined by equivalence classes of certain hermitia n holomorphic vector bundles associated to them on this set\, and as empha sized in the work of Curto and Salinas\, they are modelled by the adjoints of the multiplication operators by the independent variable(s) on a repr oducing kernel Hilbert space.\nOur goal is to develop a free noncommutativ e analogue of the Cowen-Douglas theory aiming to understand the notion of noncommutative vector bundles. We define the noncommutative Cowen–Dougla s class using matrix joint eigenvalues as envisioned by Taylor and use the Taylor-Taylor series of free noncommutative function theory to show that the joint eigenspaces together constitute -- in a natural sense -- a nonco mmutative hermitian holomorphic vector bundle. If time permits\, we also d iscuss noncommutative reproducing kernel Hilbert space models and noncommu tative Gleason problem.\n\nThis is an ongoing work with Professor Victor V innikov.\n CATEGORIES:Operator Algebras/Operator Theory,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:65@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230517T143000 DTEND;TZID=Asia/Jerusalem:20230517T153000 DTSTAMP:20250109T093504Z URL:https://math.technion.ac.il/en/events/algebraic-geometric-problems-for -certain-quantum-interaction-models/ SUMMARY:Algebraic/geometric problems for certain quantum interaction models DESCRIPTION:Lecturer:Masato Wakayama \n Location:Amado 719\n We focus spect ral structure of the quantum Rabi model (QRM) and its asymmetric version ( AQRM)\, which are widely studied as the most fundamental models of light-m atter interactions\, and their covering model. The latter model is called the non-commutative harmonic oscillator (NCHO) and has rich but mysterious arithmetic properties. Certain algebraic and geometric problems/conjectur es arose from the study of the degeneracy of the spectrum and hidden symme try for AQRM will be presented. The talk is based on the joint work with C id Reyes-Bustos and longtime collaboration with Kazufumi Kimoto.\n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:57@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230517T143000 DTEND;TZID=Asia/Jerusalem:20230517T152000 DTSTAMP:20250109T093504Z URL:https://math.technion.ac.il/en/events/bogdan-chornomaz/ SUMMARY:Bogdan Chornomaz -- Geometric obstruction to replicability in learn ing DESCRIPTION:Lecturer:Bogdan Chornomaz\n Location:814 Amado\n We are going t o talk about the following nice little problem: Given n Boolean functions\ , let us "color" every sample\, compatible with one of these functions\, w ith some Boolean function\, not necessarily one of the original n\, that i s compatible with this sample. What is the smallest number of colors that every chain of samples should have?\n\nWe are going to solve this one\, an d\, additionally\, we are going to talk about the machine-learning roots o f this problem\, and about some other nice little questions in the area wh ere the solution would lead us.\n\nThe talk is based on the joint work wit h Zachary Chase\, Shay Moran\, and Amir Yehudayoff.\n\n \;\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:70@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230521T013000 DTEND;TZID=Asia/Jerusalem:20230521T023000 DTSTAMP:20250109T093504Z URL:https://math.technion.ac.il/en/events/m-sc-graduation-seminar-the-bogo molov-gieseker-inequality-for-surfaces-with-rational-double-points/ SUMMARY:M.Sc. Graduation Seminar - The Bogomolov-Gieseker Inequality for S urfaces with Rational Double Points DESCRIPTION:Lecturer:אלן סורני\n Location:אמאדו 814 \n סמי נר סיום מאסטר של אלן סורני\nמנחים ד"ר הווא רד נואר ופרופח דני נפטין\nThe Bogomolov-Gieseker Inequ ality for Surfaces with Rational Double Points  כותרת\nאבסטרק ט\nThe Bogomolov-Gieseker inequality for smooth projective surfaces in ch aracteristic zero is the inequality $\\mathrm{ch}_1\\left({\\mathcal{E}\\r ight)^2 - 2 \\mathrm{ch}_0\\left(\\mathcal{E}\\right) . \\mathrm{ch}_2\\le ft(\\mathcal{E}\\right) \\geq 0$\, where $\\mathcal{E}$ is a slope semista ble coherent sheaf.  The inequality has many applications including the b oundedness of the moduli space of semistable sheaves\, explicit restrictio n theorems for stable sheaves\, and the existence of Bridgeland stability conditions which have been applied to solve many classical problems in alg ebraic geometry.  In this talk we give an algebraic proof of the Bogomolo v-Gieseker inequality on projective surfaces with at worst rational double point singularities. Such singular points are of particular interest as t hey are the possible canonical singularities of surfaces\, i.e. those sing ularities arising in running the minimal model program on surfaces.\n CATEGORIES:Graduation Seminars,Seminars LOCATION:אמאדו 814 END:VEVENT BEGIN:VEVENT UID:52@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230521T123000 DTEND;TZID=Asia/Jerusalem:20230521T133000 DTSTAMP:20250109T093504Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-on-tem pered-representations/ SUMMARY:Cable Car Algebra Seminar: On tempered representations DESCRIPTION:Lecturer:Alexander Yom Din (Hebrew University)\n Location:Techn ion\, Amado Building 814\n Given a locally compact group G\, the decomposi tion of the space of square integrable functions on G into irreducible uni tary representations of G (“irreps”) is one of the basic desires in ha rmonic analysis. Not all irreps appear in such a decomposition\; those whi ch do are called tempered. The decomposition has a discrete as well as a c ontinuous parts\; the irreps which appear in the discrete part are called square integrable\, and are much simpler analytically than general tempere d irreps. Loosely speaking\, tempered irreps can be thought of as “on th e verge” of being square integrable. Although this intuition is rather c lassical\, we discuss a new possible formal interpretation of it. This is joint work with D. Kazhdan.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building 814 END:VEVENT BEGIN:VEVENT UID:66@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230523T143000 DTEND;TZID=Asia/Jerusalem:20230523T153000 DTSTAMP:20250109T093504Z URL:https://math.technion.ac.il/en/events/convexity-and-second-order-theor y-in-calculus-of-variations/ SUMMARY:Convexity and second order theory in calculus of variations DESCRIPTION:Lecturer:Alexander Ioffe\n Location:Amado 814\n The main result to be presented at the talk contains a second order necessary\ncondition for a strong minimum in the standard problem of calculus of variations.\nN ovelty of this result is emphasized by the fact that no idea of a possibil ity of such\na condition has ever appeared in the classical theory. A simp le example shows that\nthe theorem can work when other known necessary con ditions fail.\nOriginally the theorem was obtained as a consequence of a c orresponding result\nfor a sufficiently general class of optimal control p roblems (Calculus of Variations and\nPDEs (2020)\, 59:83) which will be br ie y explained in the second part of the talk.\nBut an independent proof o f the theorem is noticeably simpler and will be described\nin sufficient d etails. The key element of the proof is a version of the convexication\nth eorem proved in 1930 by N.N. Bogolyubov (which is really a fundamental res ult\nclosely connected with the classical Weierstrass necessary condition but\, strangely\,\ntypically not mentioned in courses on calculus of varia tions).\n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:75@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230524T123000 DTEND;TZID=Asia/Jerusalem:20230524T133000 DTSTAMP:20250109T093505Z URL:https://math.technion.ac.il/en/events/chatgpt-dr-gadi-alexandrovich/ SUMMARY:ChatGPT - Dr. Gadi Alexandrovich DESCRIPTION:Lecturer:ד"ר גדי אלכסנדרוביץ\n Location:אמא דו 232 ובזום \n CLICK for information about the talk\n \;\n htt ps://technion.zoom.us/j/99459766967 CATEGORIES:Seminars,Teaching Seminar LOCATION:אמאדו 232 ובזום END:VEVENT BEGIN:VEVENT UID:73@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230524T143000 DTEND;TZID=Asia/Jerusalem:20230524T152000 DTSTAMP:20250109T093505Z URL:https://math.technion.ac.il/en/events/yuval-filmus/ SUMMARY:Yuval Filmus -- Nearly linear functions on the symmetric group DESCRIPTION:Lecturer:Yuval Filmus\n Location:814 Amado\n A linear function on the symmetric group is is specified by an nxn matrix A\, and its value at a permutation π is A(1\,π(1)) + … + A(n\,π(n)).\n\nSuch functions arise naturally in Erdos-Ko-Rado theory on the symmetric group.\n\nWhat ca n we say about such functions if they are Boolean?\n\nWhat if they are onl y approximately Boolean?\n\n \;\n\nBased on https://discreteanalysisjo urnal.com/article/30186-boolean-functions-on-s_n-which-are-nearly-linear\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:23@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230529T033000 DTEND;TZID=Asia/Jerusalem:20230529T043000 DTSTAMP:20250109T093505Z URL:https://math.technion.ac.il/en/events/tba-7/ SUMMARY:Invariant norms on diffeomorphism groups: old and new results DESCRIPTION:Lecturer:Michael Brandenbursky\n Location:Amado 232\n Invariant norms appear in most branches of mathematics. Examples include word norms (autonomous\, entropy\, fragmentation) and non-discrete norms (Hofer norm ) in symplectic geometry. In group theory examples include commutator leng th and primitive length. After providing some history and motivation\, I w ill focus on a group $G$ of volume-preserving diffeomorphisms of a compac t smooth orientable manifold. In particular\, I will discuss $L^p$-geomet ry of this group and which groups can be quasi-isometrically embedded in $ G$. This talk is partially based on a joint work with M. Marcinkowski and E. Shelukhin.\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:74@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230529T143000 DTEND;TZID=Asia/Jerusalem:20230529T153000 DTSTAMP:20250109T093505Z URL:https://math.technion.ac.il/en/events/on-block-rank-of-matrice-graduat ion-seminar/ SUMMARY:M.Sc. Graduation Seminar: On Blocky rank of matrices DESCRIPTION:Lecturer:Daniel Avraham \n Location:Amado 719\n  \;\n\nAdvi sor:  Prof. Amir Yehudayoff\n\nAbstract:\n\nIn circuit complexity theory we classify Boolean functions according to the size of the\n\nBoolean circ uits that computes them. We are going to talk about a new matrix rank call ed\n\nthe "Blocky rank" which was defined not long ago and show how we can achieve a lower\n\nbound on the size of 2-depth circuit that computes a f unction f by finding lower bound on\n\nthe Blocky rank. We will also discu ss about general properties of this rank and computes the\n\nrank for a Li near threshold function\, which is a basic operator in our circuits. The I nner\n\nproduct function was studied before in the context of circuit size and by using the blocky\n\nrank we improve the known result.\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:72@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230530T113000 DTEND;TZID=Asia/Jerusalem:20230530T123000 DTSTAMP:20250109T093505Z URL:https://math.technion.ac.il/en/events/gady-kozma-weizmann/ SUMMARY:The correlation length of near-critical percolation DESCRIPTION:Lecturer:Gady Kozma (Weizmann)\n Location:Meyer building (elect rical engeneering)\, room 861\n Since the works of Menshikov and Aizenman- Barsky it is known that for every p below the critical value for percolati on\, the probability that two distant points are connected decays exponent ially. The constant in the exponent is called the correlation length. We e stablish bounds for the correlation length as p increases to the critical value valid in any dimension. Joint work with Hugo Duminil-Copin and Vince nt Tassion.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:58@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230531T143000 DTEND;TZID=Asia/Jerusalem:20230531T152000 DTSTAMP:20250109T093526Z URL:https://math.technion.ac.il/en/events/jonathan-shafer/ SUMMARY:Jonathan Shafer (UC Berkeley) -- A Trichotomy for Transductive Onli ne Learning DESCRIPTION:Lecturer:Jonathan Shafer\n Location:814 Amado\n I will discuss some recent bounds on the number of learner mistakes in the ‘transductiv e’ online learning setting of Ben-David\, Kushilevitz and Mansour (1997) . We show a trichotomy\, stating that the optimal number of mistakes made by the learner as a function of the sequence length n can take only one of three possible values: n\, Theta(log n)\, or Theta(1). This behavior is d etermined by a combination of the VC dimension and the Littlestone dimensi on. Understanding the precise value in the Theta(1) case is still open\, b ut we show a quadratic improvement over the previously-known lower bound f or this quantity.\n\nThe talk will be accessible to a general mathematical audience\, no prior familiarity with online learning is required.\n\nJoin t work with Zachary Chase (Oxford Technion)\, Steve Hanneke (Purdue) and S hay Moran (Technion).\n\n \;\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:78@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230601T123000 DTEND;TZID=Asia/Jerusalem:20230601T133000 DTSTAMP:20250109T093526Z URL:https://math.technion.ac.il/en/events/minimally-ramified-dihedral-exte nsions-over-fqt-graduation-seminar/ SUMMARY:Minimally Ramified Dihedral Extensions Over Fq(T) - Graduation Semi nar DESCRIPTION:Lecturer:Tal Shahaf \n Location:Amado 814 \n טל שחף\nתו אר: מגיסטר\n MINIMALLY RAMIFIED DIHEDRAL EXTENSIONS OVER Fq(T)\n מנחים : פרופ' אמריטוס סון יעקב\, פרופ"ח נפט ין דני\nאבסטרקט מצורף\nתאריך ההרצאה: יום ח מישי\, 1 ביוני 2023 בשעה 13:00 \, בנין אמדו 814\n\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:83@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230601T133000 DTEND;TZID=Asia/Jerusalem:20230601T143000 DTSTAMP:20250109T093526Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-the-wa vefront-set-of-unipotent-representations-with-real-infinitesimal-character / SUMMARY:Cable Car Algebra Seminar: The wavefront set of unipotent represent ations with real infinitesimal character DESCRIPTION:Lecturer:Emile Okada (National University of Singapore)\n Locat ion:Technion\, Amado Building 814\n For a reductive group defined over a p -adic field\, the wavefront set is an invariant of an admissible represent ations which roughly speaking measures the direction of the singularities of the character near the identity. Studied first by Roger Howe in the 70s \, the wavefront set has important connections to Arthur packets\, and has been the subject of thorough investigation in the intervening years. One of main open lines of inquiry is to determine the relation between the wav efront set and the L-parameter of a representation. In this talk I will pr esent new results answering this question for unipotent representation wit h real infinitesimal character. The results are joint with Dan Ciubotaru a nd Lucas Mason-Brown.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building 814 END:VEVENT BEGIN:VEVENT UID:69@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230605T123000 DTEND;TZID=Asia/Jerusalem:20230605T133000 DTSTAMP:20250109T093526Z URL:https://math.technion.ac.il/en/events/smb-equipartition-theorems-along -almost-geodesics/ SUMMARY:Entropy equipartition along almost geodesics in negatively curved g roups DESCRIPTION:Lecturer:Felix Pogorzelski (Leipzig)\n Location:Amado 814\n The classical Shannon-McMillan-Breiman (SMB) theorem states that for an ergod ic measure preserving transformation on a probability space\, the rate of uncertainty measured by mathematical entropy can be observed in almost eve ry orbit of the system.\n\nWe explain how to use an abstract skew product construction in order to prove such results for measure preserving actions of negatively curved groups\, with refinements being taken along almost g eodesics.\n\nJoint work with Amos Nevo\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:24@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230605T153000 DTEND;TZID=Asia/Jerusalem:20230605T163000 DTSTAMP:20250109T093526Z URL:https://math.technion.ac.il/en/events/tba-8/ SUMMARY:Introduction to the Furstenberg-Poisson boundary DESCRIPTION:Lecturer:Yair Hartman\n Location:Amado 232\n The theory of the Furstenberg-Poisson boundary provides a "boundary theory" for general grou ps. In a somewhat similar fashion to the action on the Gromov boundary hyp erbolic groups\, with the advantage of working for general group\, without any geometric assumptions on the group. We will motivate and discuss this  theory\, its connection to rigidity theory\, and will focus on the quest ion of the triviality of this boundary.\nBased on joint work with Frisch\, Tamuz and Vahidi Ferdowsi.\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:87@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230606T113000 DTEND;TZID=Asia/Jerusalem:20230606T123000 DTSTAMP:20250109T093526Z URL:https://math.technion.ac.il/en/events/tightness-for-the-cover-time-of- wired-planar-domains/ SUMMARY:Tightness for the Cover Time of Wired Planar Domains DESCRIPTION:Lecturer:Oren Louidor (Technion)\n Location:Meyer (EE) 861\n We consider a continuous time simple random walk on a subset of the square l attice with wired boundary conditions: The walk transitions at unit edge r ate on the graph obtained from the lattice closure of the subset by contra cting the boundary into one vertex. We study the cover time of such walk\, namely the time it takes for the walk to visit all vertices in the graph. Taking a sequence of subsets obtained as scaled lattice versions of a nic e planar domain\, we show that the square root of the cover time normalize d by the size of the subset\, is tight around \\frac{1}{\\sqrt{\\pi}} \\lo g N - \\frac{1}{4 \\sqrt{\\pi}} \\log \\log N\, where N is the scale param eter. The proof is based on comparison with the extremal landscape of the discrete Gaussian free field. Joint work with Marek Biskup and Santiago Sa glietti.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer (EE) 861 END:VEVENT BEGIN:VEVENT UID:81@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230606T143000 DTEND;TZID=Asia/Jerusalem:20230606T153000 DTSTAMP:20250109T093527Z URL:https://math.technion.ac.il/en/events/projective-freeness-and-hermiten ess-of-complex-function-algebras/ SUMMARY:“Projective freeness and Hermiteness of complex function algebras ” DESCRIPTION:Lecturer:Alexander Brudnyi (University of Calgary\, Canada)\n Location:Amado 814\n In the talk\, we discuss projective freeness and Herm iteness of algebras of complex-valued continuous functions on topological spaces\,\n\nStein algebras\, and commutative unital Banach algebras. New sufficient cohomology conditions on the maximal ideal spaces of the algeb ras are given\n\nthat guarantee the fulfilment of these properties. The re sults are illustrated by nontrivial examples.  Based on the Borsuk theory of shapes\,\n\na new class $\\mathcal{C}$ of commutative unital complex B anach algebras is introduced (an analog of the class of local rings in com mutative algebra)\n\nsuch that the projective tensor product with algebra s in $\\mathcal{C}$ preserves projective freeness and Hermiteness.\n\nSome examples of algebras of class $\\mathcal{C}$ and of other projective free and Hermite function algebras are assembled. These include\,\n\ne.g.\, al gebras of complex-valued functions of bounded variation\, Douglas algebras \, finitely generated algebras of symmetric functions\, Bohr-Wiener algebr as\,\n\nalgebras of holomorphic semi-almost periodic functions\, and algeb ras of bounded holomorphic functions on Riemann surfaces.\n\n \;\n CATEGORIES:Analysis Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:59@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230607T143000 DTEND;TZID=Asia/Jerusalem:20230607T152000 DTSTAMP:20250109T093527Z URL:https://math.technion.ac.il/en/events/daniel-carmon/ SUMMARY:Daniel Carmon -- Dual systolic graphs DESCRIPTION:Lecturer:Daniel Carmon\n Location:814 Amado\n We define a famil y of graphs we call dual systolic graphs. This definition comes from graph s that are duals of systolic simplicial complexes. Our main result is a sh arp (up to constants) isoperimetric inequality for dual systolic graphs. T he first step in the proof is an extension of the classical isoperimetric inequality of the boolean cube. The isoperimetric inequality for dual syst olic graphs\, however\, is exponentially stronger than the one for the boo lean cube. Interestingly\, we know that dual systolic graphs exist\, but w e do not yet know how to efficiently construct them. We\, therefore\, defi ne a weaker notion of dual systolicity. We prove the same isoperimetric in equality for weakly dual systolic graphs\, and at the same time provide an efficient construction of a family of graphs that are weakly dual systoli c. We call this family of graphs clique products. We show that there is a non-trivial connection between the small set expansion capabilities and th e threshold rank of clique products\, and believe they can find further ap plications.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:88@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230608T113000 DTEND;TZID=Asia/Jerusalem:20230608T123000 DTSTAMP:20250109T093527Z URL:https://math.technion.ac.il/en/events/fighting-chaos-with-chaos/ SUMMARY:Fighting Chaos with Chaos (joint with the GDRT seminar) DESCRIPTION:Lecturer:Hagai Perets (Technion\, Physics)\n Location:Amado 719 \n I will present a new approach of analytical statistical solutions to th e three body problem (and other vegetables). No background will be assumed .\n CATEGORIES:Geometry and Topology Seminar,Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:85@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230608T120000 DTEND;TZID=Asia/Jerusalem:20230608T130000 DTSTAMP:20250109T093527Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-a-vari ant-of-harish-chandra-functors/ SUMMARY:Cable Car Algebra Seminar: A variant of Harish-Chandra functors DESCRIPTION:Lecturer:Uri Onn (Australian National University)\n Location:U. of Haifa\, Main Building\, Auditorium 626\n Harish-Chandra induction and restriction functors play a key role in the\nrepresentation theory of redu ctive groups over finite and local fields.\nConstraining a trivial action by appropriate unipotent subgroups\, which is part of their definition\, r esults in simple combinatorial commutation relation between induction and restriction from and to Levi subgroups. This allows one to effectively con struct and classify representations of such groups. In this talk I will de scribe generalisations of these functors that are suitable for profinite g roups.\nThis is a joint work with Tyrone Crisp and Ehud Meir.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:U. of Haifa\, Main Building\, Auditorium 626 END:VEVENT BEGIN:VEVENT UID:86@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230608T130000 DTEND;TZID=Asia/Jerusalem:20230608T140000 DTSTAMP:20250109T093527Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-functo r-morphing-in-representation-theory/ SUMMARY:Cable Car Algebra Seminar: Functor morphing in representation theor y DESCRIPTION:Lecturer:Ehud Meir (University of Aberdeen)\n Location:U. of Ha ifa\, Main Building\, Auditorium 626\n A large part of classical represent ation theory is about reducing the study of irreducible representation of groups to combinatorial families.\nIn many cases\, this is being done indu ctively\, using methods such as Clifford Theory and the well known represe ntation theory of Heisenberg groups.\nIn this talk I will describe a new m ethod\, called functor morphing\, for reduction of representations of auto morphism groups of finite modules over finite rings\, by using new methods developed in symmetric monoidal categories\, that in turn relate to geome tric invariant theory.\nThis is a joint work with Tyrone Crisp and Uri Onn \, and a continutation of the first talk of the seminar.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:U. of Haifa\, Main Building\, Auditorium 626 END:VEVENT BEGIN:VEVENT UID:82@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230611T143000 DTEND;TZID=Asia/Jerusalem:20230611T153000 DTSTAMP:20250109T093527Z URL:https://math.technion.ac.il/en/events/an-inertial-iterative-algorithm- for-approximating-solutions-to-variational-inclusion-problems-in-banach-sp aces/ SUMMARY:An inertial iterative algorithm for approximating solutions to vari ational inclusion problems in Banach spaces. DESCRIPTION:Lecturer:Olawale K. Oyewole (Technion)\n Location:Room 814\, Am ado Mathematics Building\n Abstract: We consider the problem of approxima ting an element in the solution set of a variational inclusion problem. We propose an inertial iterative method for solving such problems for the su m of two monotone operators in the framework of real reflexive Banach spac es. In order to achieve strong convergence of the generated approximating sequences\, we use a modified Halpern method. Some numerical experiments a nd applications of our main result are also presented.\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Room 814\, Amado Mathematics Building END:VEVENT BEGIN:VEVENT UID:94@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230612T123000 DTEND;TZID=Asia/Jerusalem:20230612T133000 DTSTAMP:20250109T093527Z URL:https://math.technion.ac.il/en/events/structure-theorems-for-the-host- kra-characteristic-factors-and-inverse-theorems-for-the-gowers-norms/ SUMMARY:Structure theorems for the Host-Kra characteristic factors and inve rse theorems for the Gowers norms DESCRIPTION:Lecturer:Or Shalom (IAS)\n Location:Amado 814\n The Gowers unif ormity k-norm on a finite abelian group measures the averages of complex f unctions on such groups over k-dimensional arithmetic cubes. The inverse q uestion about these norms asks if a large norm implies correlation with a function of an algebraic origin. The analogue of the Gowers uniformity nor ms for measure-preserving abelian actions are the Host-Kra-Gowers seminorm s which are intimately connected to the Host-Kra-Ziegler factors of such s ystems. The corresponding inverse question in the dynamical setting asks f or a description of such factors in terms of systems of an algebraic origi n. In this talk\, we survey recent results about the inverse question in t he dynamical and combinatorial settings\, and in particular how an answer in the former setting can imply one in the latter. This talk is based on j oint works with Asgar Jamneshan and Terence Tao.\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:95@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230613T113000 DTEND;TZID=Asia/Jerusalem:20230613T123000 DTSTAMP:20250109T093527Z URL:https://math.technion.ac.il/en/events/tba-jonathan-hermon-ubc/ SUMMARY:Quantitative near-bipartiteness: mixing\, parity breaking\, max cut \, and eigenvalue gap DESCRIPTION:Lecturer:Jonathan Hermon (UBC)\n Location:Meyer building (elect rical engeneering)\, room 861\n In this talk I'll present some general qua ntitative near-bipartite results for reversible Markov chains. It turns ou t that if the total variation of a reversible transition matrix P is much larger than that of its lazy version (I+P)/2 then P must satisfy certain s trong near-bipartite behaviors\, which for most starting states prevail fo r order of the mixing time number of steps. Namely\, if f is an eigenvecto r corresponding to the smallest eigenvalue of P\, then the chain is likely to alternate between being at A:={x : f(x) is positive} at even times to being at the complement at odd times\, or vice-versa\, for order mixing ti me number of steps. Moreover\, the mixing behavior in this case is in a se nse completely governed by the probability the chain assigns A. We also g ive a probabilistic characterization of the absolute spectral gap of P and show that P can have at most one (negative) eigenvalue whose distance fro m -1 is at most a small absolute constant the spectral gap (= 1 - second l argest e.v. of P)\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:91@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230614T113000 DTEND;TZID=Asia/Jerusalem:20230614T123000 DTSTAMP:20250109T093527Z URL:https://math.technion.ac.il/en/events/continuities-of-operator-semigro ups/ SUMMARY:Continuities of operator semigroups DESCRIPTION:Lecturer:Ami Viselter (University of Haifa)\n Location:Amado 81 4\n We survey several results and an open question about enhancing several types of continuities of operator semigroups\, especially ones coming fro m operator algebra theory.\n CATEGORIES:Operator Algebras/Operator Theory,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:89@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230614T123000 DTEND;TZID=Asia/Jerusalem:20230614T133000 DTSTAMP:20250109T093528Z URL:https://math.technion.ac.il/en/events/%d7%9e%d7%9b%d7%95%d7%a0%d7%aa-% d7%a8%d7%a0%d7%9e%d7%95%d7%92%d7%90%d7%9f-%d7%92%d7%99%d7%9c%d7%95%d7%99-% d7%90%d7%95%d7%98%d7%95%d7%9e%d7%98%d7%99-%d7%a9%d7%9c-%d7%96%d7%94%d7%95% d7%99/ SUMMARY:מכונת רנמוגיאן – גילוי אוטומטי של זה ויות לקבועים יסודיים DESCRIPTION:Lecturer:פרופ’ ’ עדו קמינר ( טכניון)\n Lo cation:באמאדו 232\n בהרצאה נדבר על ניסיון חדש למצוא זהויות מתמטיות לא ידועות בעזרת מחש ב. נראה איך זהויות אלו מובילות היום להוכח ות של אי-רציונליות של קבועים מתמטיים  zeta (3)\, e\,  pi  כמו\nולקשרים מפתיעים בין קבועים . נלמד איך כל זה קשור לשברים משולבים פולי נומיאלים\n https://technion.zoom.us/j/99028018437 : CATEGORIES:Math Club,Seminars LOCATION:באמאדו 232 END:VEVENT BEGIN:VEVENT UID:76@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230614T133000 DTEND;TZID=Asia/Jerusalem:20230614T142000 DTSTAMP:20250109T093528Z URL:https://math.technion.ac.il/en/events/igor-balla/ SUMMARY:Igor Balla (HUJI) -- Equiangular lines via matrix projection DESCRIPTION:Lecturer:Igor Balla (HUJI)\n Location:814 Amado\n [NOTE THE UNU SUAL TIME] \n\nIn 1973\, Lemmens and Seidel posed the problem of determin ing the maximum number of equiangular lines in a R^r with angle arccos(alp ha) and gave a partial answer in the regime r <\;= 1/alpha^2 - 2. At the other extreme where r is at least exponential in 1/alpha\, recent breakth roughs have led to an almost complete resolution of this problem. In this talk\, we introduce a new method for obtaining upper bounds which unifies and improves upon all previous approaches\, thereby yielding bounds which bridge the gap between the aforementioned regimes and are best possible ei ther exactly or up to a small multiplicative constant.\n\nOur approach is based on orthogonal projection of matrices with respect to the Frobenius i nner product and it also yields the first extension of the Alon--Boppana t heorem to dense graphs\, with equality for strongly regular graphs corresp onding to r(r+1)/2 equiangular lines in R^r. Applications of our method in the complex setting will be discussed as well.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:80@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230615T113000 DTEND;TZID=Asia/Jerusalem:20230615T123000 DTSTAMP:20250109T093528Z URL:https://math.technion.ac.il/en/events/tba-11/ SUMMARY:Complex geometry and the isometries of the hyperbolic space DESCRIPTION:Lecturer:Misha Verbitsky (IMPA)\n Location:Amado 719\n The isom etries of a hyperbolic space are classified into three classes - elliptic\ , parabolic\, and loxodromic\;\nthis classification plays the major role i n homogeneous dynamics of hyperbolic manifolds. Since the work of Serge Ca ntat in early 2000-ies it is known that a similar classification exists fo r complex surfaces\, that is\, compact complex manifolds of dimension 2. T hese results were recently generalized to holomorphically symplectic manif olds of arbitrary dimension. I would explain the ergodic properties of the parabolic automorphisms\, and prove the ergodicity of the automorphism gr oup action for an appropriate deformation of any compact holomorphically s ymplectic manifold.  This is a joint work with Ekaterina Amerik.\n\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:100@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230615T120000 DTEND;TZID=Asia/Jerusalem:20230615T130000 DTSTAMP:20250109T093528Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-root-g roupoid-and-lie-superalgebras/ SUMMARY:Cable Car Algebra Seminar: Root groupoid and Lie superalgebras DESCRIPTION:Lecturer:Vladimir Hinich (University of Haifa)\n Location:U. of Haifa\, Main Building\, Auditorium 626\n We introduce a notion of a root groupoid as a replacement of the notion of Weyl group for (Kac-Moody) Lie superalgebras. The objects of the root groupoid classify certain root data \, the arrows are defined by generators and relations. As an abstract grou poid the root groupoid has many connected components and we show that to s ome of them one can associate an interesting family of Lie superalgebras w hich we call root superalgebras.\nTo each root groupoid component we assoc iate a graph (called skeleton) generalizing the Cayley graph of the Weyl g roup. The skeleton satisfies a version of Coxeter property generalizing th e fact that the Weyl group of a Kac-Moody Lie algebra is Coxeter.\nThis ta lk in based on a joint work with V. Serganova and M. Gorelik\, arXiv:2209. 06253.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:U. of Haifa\, Main Building\, Auditorium 626 END:VEVENT BEGIN:VEVENT UID:101@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230615T130000 DTEND;TZID=Asia/Jerusalem:20230615T140000 DTSTAMP:20250109T093528Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-tropic al-methods-in-a1-enumerative-geometry/ SUMMARY:Cable Car Algebra Seminar: Tropical Methods in $A^1$-Enumerative Ge ometry DESCRIPTION:Lecturer:Andrés Jaramillo Puentes (Universität Duisburg-Essen )\n Location:U. of Haifa\, Main Building\, Auditorium 626\n Motivic homoto py theory allows us to tie together the results from classical and real en umerative geometry\, and yield invariant counts of solutions to geometric questions over an arbitrary field k. The enumerative counts are valued in the Grothendieck-Witt ring GW(k) of non- degenerate quadratic forms over k and we call it quadratic enrichment.\nIn this talk\, I will detail some e xamples of these counts and I will present a quadratically enriched versio n of the Bernstein–Khovanskii–Kushnirenko theorem\, as well as a quadr atically enriched version of the Correspondence Theorem for counting curve s passing through configurations of k- rational points.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:U. of Haifa\, Main Building\, Auditorium 626 END:VEVENT BEGIN:VEVENT UID:84@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230618T143000 DTEND;TZID=Asia/Jerusalem:20230618T153000 DTSTAMP:20250109T093528Z URL:https://math.technion.ac.il/en/events/a-regularized-tseng-method-for-s olving-variational-inclusion-problems-and-its-applications/ SUMMARY:A regularized Tseng method for solving variational inclusion proble ms and its applications DESCRIPTION:Lecturer:Adeolu Taiwo (Technion)\n Location:Room 814\, Amado Ma thematics Building \n Abstract: We study a class of variational inclusion problems in Hilbert spaces and propose a simple modification of Tseng’s forward-backward-forward splitting method for solving such problems. The algorithm is obtained via a regularization procedure and uses self-adaptiv e step sizes. We show that the approximating sequences generated by our al gorithm converge strongly to a solution under some suitable assumptions on the regularization parameters. Moreover\, we apply our results to the ela stic net penalty problem in statistical learning theory and to bilevel opt imization problems.\n\nBased on a joint work with Simeon Reich.\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Room 814\, Amado Mathematics Building END:VEVENT BEGIN:VEVENT UID:97@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230619T123000 DTEND;TZID=Asia/Jerusalem:20230619T133000 DTSTAMP:20250109T093528Z URL:https://math.technion.ac.il/en/events/entropy-bounds-for-one-parameter -diagonal-flows/ SUMMARY:Entropy bounds for one-parameter diagonal flows on SL(d\,R)/SL(d\,Z ) using linear functionals DESCRIPTION:Lecturer:Ron Mor (HUJI)\n Location:Amado 814\n We give a method to bound the entropy of measures on SL(d\,R)/SL(d\,Z) which are invariant under one parameter diagonal subgroups\, in terms of entropy contribution s from regions of the cusp corresponding to different parabolic groups. Th ese bounds depend on a linear functional on the Lie algebra of the Cartan group\, which can then be optimized depending on the bound one is trying t o obtain. We discuss how this method is utilized to obtain new sharp bound s for cusp entropies.\n CATEGORIES:Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:99@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230619T170000 DTEND;TZID=Asia/Jerusalem:20230619T180000 DTSTAMP:20250109T093528Z URL:https://math.technion.ac.il/en/events/masters-graduation-ceremony/ SUMMARY:Master's Graduation Ceremony DESCRIPTION:Lecturer:\n Location:\n \n CATEGORIES:Faculty Events,Seminars END:VEVENT BEGIN:VEVENT UID:105@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230620T113000 DTEND;TZID=Asia/Jerusalem:20230620T123000 DTSTAMP:20250109T093528Z URL:https://math.technion.ac.il/en/events/generalized-chase-escape-models- and-weighted-catalan-numbers/ SUMMARY:Generalized chase-escape models and weighted Catalan numbers DESCRIPTION:Lecturer:Saraí Hernández-Torres (Instituto de Matemáticas\, UNAM)\n Location:Meyer building (electrical engeneering)\, room 861\n In t his talk\, Wwe will present a relation between weighted Catalan numbers an d the phase transitions of a competitive growth process on a d-ary tree. T he competitive growth processes presenting this relation are generalizatio ns of chase-escape: chase-escape with death and distance-dependent chase-e scape\, which mimic the dynamics of a predator chasing prey\, and the latt er have random lifespans.This talk is based on joint works with Erin Beckm an\, Keisha Cook\, Nicole Eikmeier\, and Matthew Junge\; and with Matthew Junge\, Naina Ray and Nidhi Ray.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:60@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230621T143000 DTEND;TZID=Asia/Jerusalem:20230621T152000 DTSTAMP:20250109T093529Z URL:https://math.technion.ac.il/en/events/wojciech-samotij/ SUMMARY:Wojciech Samotij (TAU) -- Simonovits’s theorem in random graphs DESCRIPTION:Lecturer:Wojciech Samotij\n Location:814 Amado\n Let H be a gra ph with chi(H) = r+1. Simonovits's theorem states that\, if H is edge-crit ical\, the unique largest H-free subgraph of K_n is its largest r-partite subgraph\, provided that n is sufficiently large. We show that the same ho lds with K_n replaced by the binomial random graph G_{n\,p} whenever H is also strictly 2-balanced and p >\;= (theta_H+o(1)) n^(-1/m_2(H)) (log n) ^(1/(e_H-1)) for some explicit constant theta_H\, which we believe to be o ptimal. This (partially) resolves a conjecture of DeMarco and Kahn.\nThis is joint work with Ilay Hoshen (TAU).\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:92@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230622T113000 DTEND;TZID=Asia/Jerusalem:20230622T123000 DTSTAMP:20250109T093529Z URL:https://math.technion.ac.il/en/events/dynamic-and-numeric-aspects-of-p oisson-brackets-invariants-graduation-seminar/ SUMMARY:Dynamic and Numeric Aspects of Poisson Brackets Invariants - Gradua tion seminar DESCRIPTION:Lecturer:Itamar Rosenfeld Rauch\n Location:Amadao 719 \n  שם : איתמר רוזנפלד ראוך\nתואר : דוקטורט\nמנחה : ד"ר חנבסקי מיכאל\nמועד: 22/6\, באמאדו 719 בשע ה 11:30\n \;\n\nDynamic and Numeric Aspects of Poisson Brackets Invar iants\n\nAbstract:\n\nThe Poisson brackets of smooth functions\, {F\, G}\, measure the conservation of F along Hamiltonian trajectories of G. The $C ^0$-semicontinuity of the Poisson brackets was proven in 2010 by Entov and Polterovich\, a surprising fact considering they involve the first deriva tives of F\, and G. In this talk I will discuss this $C^0$-robustness phen omenon and show how certain variational problems involving the supremum no rm of the Poisson brackets give rise to dynamically flavored invariants. G iven time\, I will comment on a numeric experiment to calculate one such i nvariant.\n\n \;\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amadao 719 END:VEVENT BEGIN:VEVENT UID:79@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230622T113000 DTEND;TZID=Asia/Jerusalem:20230622T123000 DTSTAMP:20250109T093529Z URL:https://math.technion.ac.il/en/events/tba-10/ SUMMARY:Dynamic and Numeric Aspects of Poisson Brackets Invariants DESCRIPTION:Lecturer:Itamar Rosenfeld-Rauch\n Location:Amado 719\n The Poi sson brackets of smooth functions\, {F\, G}\, measure the conservation of F along Hamiltonian trajectories of G. The $C^0$-semicontinuity of the Poi sson brackets was proven in 2010 by Entov and Polterovich\, a surprising f act considering they involve the first derivatives of F\, and G. In this t alk I will discuss this $C^0$-robustness phenomenon and show how certain v ariational problems involving the supremum norm of the Poisson brackets gi ve rise to dynamically flavored invariants. Given time\, I will comment on a numeric experiment to calculate one such invariant.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:93@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230622T123000 DTEND;TZID=Asia/Jerusalem:20230622T133000 DTSTAMP:20250109T093529Z URL:https://math.technion.ac.il/en/events/the-reducible-components-of-the- curve-fxgy-for-f-indecomposable-of-large-degree-graduation-seminar/ SUMMARY:The reducible components of the curve f(x)=g(y) for f indecomposab le of large degree - Graduation Seminar DESCRIPTION:Lecturer:Tal Monderer\n Location:Amado 814\n סטודנטית: טל מונדרר\, דוקטורנטית\nמנחה: פרופ"ח דני נ פטין\nTitle: The reducible components of the curve f(x)=g(y) for f in decomposable of large degree\n\nAbstract:\nFamilies of rational functions f\,g for which the curve f(x)=g(y) is reducible give rise to interesting p henomena in number theory and complex analysis. It is known that no such i ndecomposable polynomials exist when deg f >\; 33\; for rational functio ns little is known. We describe the possible factorizations when f is take n to be rational\, indecomposable of large degree\, relying on an analysis of low genus coverings with Galois closure contained in that of f.\n\n&nb sp\;\n\n \;\n CATEGORIES:Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:104@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230622T123000 DTEND;TZID=Asia/Jerusalem:20230622T133000 DTSTAMP:20250109T093529Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-on-the -hilbert-property-in-several-variables/ SUMMARY:Cable Car Algebra Seminar: On the Hilbert Property in Several Varia bles DESCRIPTION:Lecturer:Pierre Debes (Lille University)\n Location:Technion\, Amado Building\, Room 814\n Given an algebraic situation described by $n\\ geq 1$ variables and depending on $r\\geq 1$ independent parameters\, the Hilbert property makes it possible to specialize the parameters and preser ve the structure of the situation. The classical application\, in the situ ation of $n=1$ variable reduces the Inverse Galois Problem to the search o f geometric Galois covers of the line defined over the rationals. The main part of the talk will be devoted to the less classical situation of sever al variables ($n>\;1$). We will explain how it has led to recent progres s in several topics: arithmetic Bertini theorems\, polynomial versions of the Schinzel Hypothesis\, the dimension growth conjecture\, etc.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:90@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230625T143000 DTEND;TZID=Asia/Jerusalem:20230625T153000 DTSTAMP:20250109T093529Z URL:https://math.technion.ac.il/en/events/comparing-the-methods-of-alterna ting-and-simultaneous-projections-for-two-subspaces/ SUMMARY:Comparing the Methods of Alternating and Simultaneous Projections f or Two Subspaces DESCRIPTION:Lecturer:Rafal Zalas (Technion)\n Location:Room 814\, Amado Mat hematics Building\n Abstract:\n\nWe study the well-known methods of altern ating and simultaneous projections when applied to two nonorthogonal linea r subspaces of a real Euclidean space. Assuming that both methods have a c ommon starting point chosen from either one of the subspaces\, we show tha t the method of alternating projections converges significantly faster tha n the method of simultaneous projections. On the other hand\, we provide e xamples of subspaces and starting points\, where the method of simultaneou s projections outperforms the method of alternating projections.\n\nThis i s joint work with Simeon Reich\n\n \;\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Room 814\, Amado Mathematics Building END:VEVENT BEGIN:VEVENT UID:20@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230626T090000 DTEND;TZID=Asia/Jerusalem:20230629T170000 DTSTAMP:20250109T093529Z URL:https://math.technion.ac.il/en/events/specializations-in-number-theory -and-algebra/ SUMMARY:Specializations in Number Theory and Algebra DESCRIPTION:Lecturer:\n Location:\n For more information\n CATEGORIES:CMS Activities,Seminars END:VEVENT BEGIN:VEVENT UID:43@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230626T123000 DTEND;TZID=Asia/Jerusalem:20230626T133000 DTSTAMP:20250109T093529Z URL:https://math.technion.ac.il/en/events/tba-2/ SUMMARY:Fourier decay for smooth images of self-similar measures DESCRIPTION:Lecturer:Amir Algom (Haifa)\n Location:Amado 814\n Kaufman (198 4) and later Mosquera-Shmerkin (2018) showed that Bernoulli convolutions e xhibit fast Fourier decay when perturbed by a smooth non-linear map. This is remarkable\, since by a classical Theorem of Erdos (1939) many Bernoull i convolutions don't have Fourier decay at all. We will present an extensi on of this result to all self-similar measures: Any smooth non-linear pert urbation of a self-similar measure enjoys fast (polynomial) Fourier decay .\nJoint with Yuanyang Chang\, Meng Wu\, and Yu-Liang Wu.\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:103@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230628T113000 DTEND;TZID=Asia/Jerusalem:20230628T123000 DTSTAMP:20250109T093529Z URL:https://math.technion.ac.il/en/events/an-application-of-aluthge-transf orms-to-noncommutative-function-theory/ SUMMARY:An Application of Aluthge Transforms to Noncommutative Function Th eory DESCRIPTION:Lecturer:Paul S. Muhly (University of Iowa)\n Location:Amado 81 4 (and zoom)\n In 2003\, Jung\, Ko and Pearcy used the Aluthge transform o f an n-by-n matrix to build a unitarily invariant\, norm-decreasing retrac tion of the space of all n-by-n matrices onto the space of normal n-by -n matrices.  We show how to join their analysis to Geometric Invariant T heory in order to identify the C*-envelopes of certain algebras generated by d-fold tuples of n-by-n matrices together with their traces.\n https:// technion.zoom.us/j/95681396986 CATEGORIES:Operator Algebras/Operator Theory,Seminars LOCATION:Amado 814 (and zoom) END:VEVENT BEGIN:VEVENT UID:77@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230628T143000 DTEND;TZID=Asia/Jerusalem:20230628T152000 DTSTAMP:20250109T093530Z URL:https://math.technion.ac.il/en/events/paul-duncan/ SUMMARY:Paul Duncan (HUJI) -- Plaquette Percolation and Ising Lattice Gauge Theory DESCRIPTION:Lecturer:Paul Duncan\n Location:814 Amado\n A lattice gauge the ory is a random assignments of spins to edges of a lattice that offers a m ore tractable model in which to study path integrals that appear in partic le physics. We demonstrate the existence of a phase transition correspondi ng to deconfinement in a simplified model called Ising lattice gauge theor y on the cubical lattice Z^3. Our methods involve studying the topology of a random 2-dimensional cubical complex on Z^3 called random-cluster plaqu ette percolation\, which in turn can be reduced to the study of a random d ual graph. This is based on joint work with Benjamin Schweinhart.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:102@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230628T153000 DTEND;TZID=Asia/Jerusalem:20230628T163000 DTSTAMP:20250109T093530Z URL:https://math.technion.ac.il/en/events/around-effectivity-problems-in-n umber-theory/ SUMMARY:Around effectivity problems in number theory DESCRIPTION:Lecturer:Umberto Zannier (Scuola Normale Superiore di Pisa)\n L ocation:Amado 232\n I will survey on the issue of effectivity in Number Th eory\, focusing especially on problems of integral points in diophantine a nalysis. In the last part of the talk I shall present a very brief account of some results recently obtained for some curves of genus 2 in work in p rogress with P. Corvaja.\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:62@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230703T153000 DTEND;TZID=Asia/Jerusalem:20230703T163000 DTSTAMP:20250109T093530Z URL:https://math.technion.ac.il/en/events/tba-5/ SUMMARY:TBA DESCRIPTION:Lecturer:Chaim Enen-Zohar\n Location:Amado 232\n TBA\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:107@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230703T153000 DTEND;TZID=Asia/Jerusalem:20230703T163000 DTSTAMP:20250109T093530Z URL:https://math.technion.ac.il/en/events/the-bcfw-tiling-of-the-amplituhe dron/ SUMMARY:The BCFW Tiling of the Amplituhedron DESCRIPTION:Lecturer:Chaim Even-Zohar\n Location:232 Amado\n The amplituhed ron A(n\,k\,m) is a geometric object that encodes scattering amplitudes in various quantum field theories. It has been studied since its discovery i n 2013 by Arkani-Hamed and Trnka. One of the central conjectures about it has been that a certain collection of simpler subspaces forms a tiling of the amplituhedron A(n\,k\,4). In joint work with Tsviqa Lakrec and Ran Tes sler\, we have settled this conjecture. In the talk\, I will define the am plituhedron\, discuss the tiling problem\, present the combinatorial struc tures that appear in its solution\, and outline the main ideas from the pr oof.\n \;\n\n \;\n CATEGORIES:Colloquium,Seminars LOCATION:232 Amado END:VEVENT BEGIN:VEVENT UID:109@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230704T113000 DTEND;TZID=Asia/Jerusalem:20230704T123000 DTSTAMP:20250109T093530Z URL:https://math.technion.ac.il/en/events/extrema-of-two-dimensional-ginzb urg-landau-fields/ SUMMARY:Extrema of two-dimensional Ginzburg-Landau fields DESCRIPTION:Lecturer: Florian Schweiger (Weizmann)\n Location:Meyer (EE) 86 1\n Ginzburg-Landau fields (also known as $\nabla\\phi$-models) are a clas s of a models from statistical mechanics that describe the behavior of int erfaces. In the talk I will introduce these models and survey some of the known results. I will then describe ongoing joint work with Wei Wu and Ofe r Zeitouni on the asymptotics of the maximum of these models in two dimens ions.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer (EE) 861 END:VEVENT BEGIN:VEVENT UID:98@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230704T163000 DTEND;TZID=Asia/Jerusalem:20230704T173000 DTSTAMP:20250109T093530Z URL:https://math.technion.ac.il/en/events/undergraduate-graduation-ceremon y/ SUMMARY:Undergraduate Graduation Ceremony DESCRIPTION:Lecturer:\n Location:\n \n CATEGORIES:Faculty Events,Seminars END:VEVENT BEGIN:VEVENT UID:108@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230705T143000 DTEND;TZID=Asia/Jerusalem:20230705T152000 DTSTAMP:20250109T093530Z URL:https://math.technion.ac.il/en/events/shlomo-hoory/ SUMMARY:Shlomo Hoory (Tel Hai) -- The Girth of Graph Lifts DESCRIPTION:Lecturer:Shlomo Hoory\n Location:814 Amado\n The size of the sm allest k-regular graph of girth g is denoted by the well studied function n(k\,g). We suggest generalizing this function to n(H\,g)\, defined as the smallest size girth g graph covering the\, possibly non-regular\, graph H . We prove that the two main combinatorial bounds on n(k\,g)\, the Moore L ower bound and the Erdos--Sachs upper bound\, carry over to the new settin g of lifts\, even in their non-asymptotic form.\n\nWe also explore two oth er generalizations of n(k\,g). Namely\, the minimal size girth g graph sha ring a universal cover with H\, and the minimal size girth g graph with th e same degree distribution as H. We show that the former is the same as n( H\,g) up to a multiplicative constant\, but the latter may or may not be s eparated by an exponential gap\,  depending on the base graph H. We concl ude with experimental results for a specific base graph and a conjecture.\ n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:21@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230709T090000 DTEND;TZID=Asia/Jerusalem:20230713T170000 DTSTAMP:20250109T093530Z URL:https://math.technion.ac.il/en/events/summer-school-2023-in-algebraic- geometry-derived-categories-stability-conditions-and-moduli/ SUMMARY:Summer School 2023-In Algebraic Geometry: Derived Categories\, Stab ility Conditions\, and Moduli DESCRIPTION:Lecturer:\n Location:\n For more information\n CATEGORIES:CMS Activities,Seminars END:VEVENT BEGIN:VEVENT UID:106@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230725T120000 DTEND;TZID=Asia/Jerusalem:20230725T130000 DTSTAMP:20250109T093530Z URL:https://math.technion.ac.il/en/events/analysis-of-stability-and-accura cy-of-permutation-invariant-embedding-schemes-graduation-seminar/ SUMMARY:Analysis of Stability and Accuracy of Permutation Invariant Embeddi ng Schemes - Graduation Seminar DESCRIPTION:Lecturer:Ravina Ravina \n Location:Amado 814\n Advisor: Nadav D ym\n\nAbstract is attached\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:110@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230801T100000 DTEND;TZID=Asia/Jerusalem:20230801T110000 DTSTAMP:20250109T093531Z URL:https://math.technion.ac.il/en/events/computational-methods-for-harmon ic-mappings-and-its-uniqueness-master-graduation-seminar/ SUMMARY:Computational Methods for Harmonic Mappings and its Uniqueness - Ma ster graduation seminar DESCRIPTION:Lecturer:Terry Wallace\n Location:ZOOM\n Advisor: Professor Eme ritus Bshouty Daoud\n\n \;\n\nTitle: Computational Methods for Harmoni c Mappings and its Uniqueness\n\n \;\n\nAbstract\; The well-known Rie mann Mapping Theorem (RMT) for analytic mappings states the existence\n\na nd uniqueness of conformal mappings between two simply connected domains. The existence of  RMT for\n\nharmonic mappings with specific dilatation h olds whereas  the uniqueness is wide open. Given a harmonic mapping\n\nbe tween the unit disk  and a polygonal domain\, we determine its uniqueness using a computational method.\n\n \;\n https://gtiit.zoom.us/j/996709 93599?pwd=Rml2WVRsNEFYOGNTc3o4NW1sRXM0UT09 CATEGORIES:Graduation Seminars,Seminars LOCATION:ZOOM END:VEVENT BEGIN:VEVENT UID:111@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230911T140000 DTEND;TZID=Asia/Jerusalem:20230911T150000 DTSTAMP:20250109T093531Z URL:https://math.technion.ac.il/en/events/rosh-hashana-toast/ SUMMARY:Rosh Hashana toast DESCRIPTION:Lecturer:\n Location:Faculty lounge\, 8th floor\n \n CATEGORIES:Faculty Events,Seminars LOCATION:Faculty lounge\, 8th floor END:VEVENT BEGIN:VEVENT UID:113@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20230928T140000 DTEND;TZID=Asia/Jerusalem:20230928T150000 DTSTAMP:20250109T093531Z URL:https://math.technion.ac.il/en/events/almost-universal-quadratic-forms -and-special-cubic-fourfolds-msc-graduation-seminar/ SUMMARY:Almost-Universal Quadratic Forms and Special Cubic Fourfolds - MSc Graduation Seminar DESCRIPTION:Lecturer:Elad Gal\n Location:Amado 719\n The representability o f natural numbers by sums of squares is a beautiful and rich question in n umber theory with a long history.  It naturally lead to the question of r epresenting natural numbers by other positive definite quadratic forms and the famous recent 15 and 290 Theorems.  In this talk we begin by discuss ing some of this story with an aim to understanding what kinds of subsets of the natural numbers can be the image of a positive definite quadratic f orm.  We will the discuss the main ideas going into our main theorem\, wh ich in this language\, is a statement about how well\, or efficiently\, th e Hassett subset can be described as the image of a positive-definite quad ratic form\, namely that the minimal rank of a quadratic form supporting i t is four.  Here the Hassett subset is the set of natural numbers d large r than 8 and congruent to 0 or 2 modulo 6.  Our interest in this question for this particular subset is motivated by a question about moduli spaces of cubic fourfolds in algebraic geometry.  When rephrased in algebraic g eometry terms\, we will explain how our result about quadratic forms prove s that the intersection all the Hassett divisors C_d for d in (you guessed it!) the Hassett subset has dimension 16.  Time permitting\, we will exp lain why this interesting for other question in algebraic geometry.\n\nAdv isor: Dr. Howard Nuer\n\n \;\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:115@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231030T140000 DTEND;TZID=Asia/Jerusalem:20231030T150000 DTSTAMP:20250109T093531Z URL:https://math.technion.ac.il/en/events/stirling-numbers-touchard-polyno mials-dobinskis-formula-and-random-set-partitions/ SUMMARY:Stirling Numbers\, Touchard Polynomials\, Dobinski’s Formula and Random Set Partitions DESCRIPTION:Lecturer:רוס פינסקי\n Location:זום\n הרצאה ב מסגרת הרצאות הפוגה מתמטית - הרצאות העשרה לסטודנטים החל מהתואר הראשון\n https://technion.zoo m.us/j/98902793772 CATEGORIES:Faculty Events,Seminars LOCATION:זום END:VEVENT BEGIN:VEVENT UID:116@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231031T110000 DTEND;TZID=Asia/Jerusalem:20231031T120000 DTSTAMP:20250109T093531Z URL:https://math.technion.ac.il/en/events/split-ends-treatment/ SUMMARY:Split — Ends Treatment DESCRIPTION:Lecturer:ניר לזרוביץ\n Location:זום\n הרצאה במסגרת סדרת הרצאות העשרה - הפוגה מתמטית\n\ nלסטודנטים החל מהתואר הראשון\n https://technion.zo om.us/j/92408716946 CATEGORIES:Faculty Events,Seminars LOCATION:זום END:VEVENT BEGIN:VEVENT UID:114@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231101T113000 DTEND;TZID=Asia/Jerusalem:20231101T123000 DTSTAMP:20250109T093531Z URL:https://math.technion.ac.il/en/events/%d7%91%d7%a0%d7%99%d7%95%d7%aa-% d7%97%d7%93%d7%a9%d7%95%d7%aa-%d7%91%d7%aa%d7%95%d7%a8%d7%94-%d7%a1%d7%a4% d7%a7%d7%98%d7%a8%d7%9c%d7%99%d7%aa-%d7%a9%d7%9c-%d7%92%d7%a8%d7%a4%d7%99% d7%9d-%d7%a1%d7%9e/ SUMMARY:בניות חדשות בתורה ספקטרלית של גרפים - סמינר סיום דוקטורט DESCRIPTION:Lecturer:סולימאן חמוד \n Location:אמאדו 719\n שם הסטודנט :סולימאן חמוד\nמנחה: פרופסור א בי ברמן\nתואר: דוקטורט\nכותרת ההרצאה: בניו ת חדשות בתורה ספקטרלית של גרפים\nתאריך הה רצאה: 1/11/23 בשעה 11:30 \, באמדו 719\nתקציר : לגרף קשורות מספר מטריצות – מטריצת השכנות\, הל פלסיאן\, הלפלסיאן ללא סימנים\, הלפלסיאן ה מנורמל\nאם גרפים רגולרים הם קוספקטרלים ב יחס לאחת המטריצות אז הן קוספקטרלים ביחס לכל הארבע. בהרצאה נתאר בניות של זוגות גרפ ים לא רגולרים\,\nלא איזומורפיים שהם קוספק טרלים ביחס לארבע המטריצות\n CATEGORIES:Graduation Seminars,Seminars LOCATION:אמאדו 719 END:VEVENT BEGIN:VEVENT UID:117@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231101T123000 DTEND;TZID=Asia/Jerusalem:20231101T133000 DTSTAMP:20250109T093531Z URL:https://math.technion.ac.il/en/events/%d7%9e%d7%94-%d7%94%d7%a7%d7%a9% d7%a8-%d7%9e%d7%91%d7%95%d7%90-%d7%9c%d7%aa%d7%95%d7%a8%d7%aa-%d7%94%d7%a7 %d7%a9%d7%a8%d7%99%d7%9d/ SUMMARY:מה הקשר? - מבוא לתורת הקשרים DESCRIPTION:Lecturer:מיכאל פוליאק\n Location:אמאדו 814 + ז ום \n \n https://technion.zoom.us/j/96224379212 CATEGORIES:Faculty Events,Seminars LOCATION:אמאדו 814 + זום END:VEVENT BEGIN:VEVENT UID:119@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231106T140000 DTEND;TZID=Asia/Jerusalem:20231106T150000 DTSTAMP:20250109T093604Z URL:https://math.technion.ac.il/en/events/stirling-numbers-touchard-polyno mials-dobinskis-formula-and-random-set-partitions-2/ SUMMARY:Stirling Numbers\, Touchard Polynomials\, Dobinski’s Formula and Random Set Partitions DESCRIPTION:Lecturer:רוס פינסקי\n Location:אמאדו 719\n \n St irling Numbers\, Touchard Polynomials\, Dobinski’s Formula and Random Se t Partitions    רוס פינסקי\n\nיום שני 6.11 \,  14:00\n\ nקישור לזום:   https://technion.zoom.us/j/96545658040\n\nההר צאה תתקיים גם באופן פרונטלי באמדו 719\n\nבה רצאה הראשונה לא הספקנו להגיע לתוצאות היפ ות\, אבל סללנו את הדרך. בהרצאה הבאה נתחיל בסקירה על המוסגים והתוצאות מההרצאה הראש ונה ואז נמשיך.\n https://technion.zoom.us/j/96545658040 CATEGORIES:Faculty Events,Seminars LOCATION:אמאדו 719 END:VEVENT BEGIN:VEVENT UID:118@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231107T133000 DTEND;TZID=Asia/Jerusalem:20231107T143000 DTSTAMP:20250109T093604Z URL:https://math.technion.ac.il/en/events/from-stochastic-to-deterministic -stochastic-gradient-descent-in-non-convex-and-high-dimensional-problems/ SUMMARY:From Stochastic to Deterministic: Stochastic Gradient Descent in N on-convex and high Dimensional Problems DESCRIPTION:Lecturer:Inbar Seroussi\n Location:Amado 814 (and zoom)\n \n ht tps://technion.zoom.us/j/2646490052?pwd=UDUreVNSTnV1OHFzNWJsVXhQQW1Rdz09 Meeting ID: 264 649 0052 Passcode: inbar CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 (and zoom) END:VEVENT BEGIN:VEVENT UID:120@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231107T170000 DTEND;TZID=Asia/Jerusalem:20231107T180000 DTSTAMP:20250109T093604Z URL:https://math.technion.ac.il/en/events/%d7%a7%d7%91%d7%95%d7%a6%d7%95%d 7%aa-%d7%9e%d7%95%d7%a9%d7%9c%d7%9e%d7%95%d7%aa-perfect-sets-%d7%95%d7%aa% d7%9b%d7%a0%d7%99%d7%aa-%d7%a7%d7%a0%d7%98%d7%95%d7%a8-%d7%90%d7%95-%d7%9c %d7%9e%d7%94/ SUMMARY:קבוצות מושלמות ותכנית קנטור\, או\, למה השערת הרצף נכונה בפועל DESCRIPTION:Lecturer:ים פלזנשטיין \n Location:זום- קישור ים מופיעים בתיאור האירוע \n \n קבוצות מושל מות ותכנית קנטור\, או\, למה השערת הרצף נכו נה בפועל\n\nיום שלישי 7.11  \,   17:00\n\nקישור ל זום:   https://technion.zoom.us/j/92408716946\n\nקישור לזום: https://technion.zoom.us/j/4289628665\n\nים פלזנשטיין הוא בוגר הפקולטה למתמטיקה וכעת דוקטורנט באו ניברסיטה של פנסילבניה\, ארה"ב\n CATEGORIES:Faculty Events,Seminars LOCATION:זום- קישורים מופיעים בתיאור האירוע END:VEVENT BEGIN:VEVENT UID:121@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231108T170000 DTEND;TZID=Asia/Jerusalem:20231108T180000 DTSTAMP:20250109T093604Z URL:https://math.technion.ac.il/en/events/%d7%94%d7%90%d7%9d-%d7%9b%d7%9c- %d7%a4%d7%95%d7%a0%d7%a7%d7%a6%d7%99%d7%94-%d7%94%d7%99%d7%90-%d7%9b%d7%9e %d7%a2%d7%98-%d7%a4%d7%95%d7%9c%d7%99%d7%a0%d7%95%d7%9d/ SUMMARY:האם כל פונקציה היא כמעט פולינום  DESCRIPTION:Lecturer:אמיר שגיב \n Location:זום\n \n האם כל פונקציה היא כמעט פולינום?    אמיר שגיב\n\ nיום ד\, 8.11  \,  17:00\n\nקישור לזום:  https://technion. zoom.us/j/98250836997\n\nד"ר אמיר שגיב הוא חבר סגל חד ש בפקולטה למתמטיקה בתחום המתמטיקה השימו שית\n https://technion.zoom.us/j/98250836997 CATEGORIES:Faculty Events,Seminars LOCATION:זום END:VEVENT BEGIN:VEVENT UID:123@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231113T140000 DTEND;TZID=Asia/Jerusalem:20231113T150000 DTSTAMP:20250109T093604Z URL:https://math.technion.ac.il/en/events/stirling-numbers-touchard-polyno mials-dobinskis-formula-and-random-set-partitions-third-lecture/ SUMMARY:• Stirling Numbers\, Touchard Polynomials\, Dobinski’s Formula and Random Set Partitions - Third Lecture DESCRIPTION:Lecturer:רוס פינסקי \n Location:ZOOM + 719\n Stirling Numbers\, Touchard Polynomials\, Dobinski’s Formula and Random Set Parti tions  \,\n\nרוס פינסקי\nיום ב 13/11  14:00\n             קישור לזום:   https://technion.zoom.us/j/98647837487 \n               ההרצאה תתקיים גם באופן פרונטלי באמדו 719\n            הרצאה שליש ית ואחרונה בנושא: אפשר להבין את ההרצאה הש לישית גם אם לא השתתפתם בשתיים הראשונות!\n CATEGORIES:Faculty Events,Seminars LOCATION:ZOOM + 719 END:VEVENT BEGIN:VEVENT UID:122@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231114T160000 DTEND;TZID=Asia/Jerusalem:20231114T170000 DTSTAMP:20250109T093604Z URL:https://math.technion.ac.il/en/events/on-nonparametric-estimation-of-l ow-and-high-dimensional-data/ SUMMARY:On (non)parametric estimation of low and high-dimensional data DESCRIPTION:Lecturer:Shira Faigenbaum-Golovin\n Location:zoom\n \n https:// technion.zoom.us/j/97941552937?pwd=RUNuSmJuSDFJeEpBYUNXamVzUFRYZz09 Meeti ng ID: 979 4155 2937 Passcode: shira CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:zoom END:VEVENT BEGIN:VEVENT UID:124@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231114T170000 DTEND;TZID=Asia/Jerusalem:20231114T180000 DTSTAMP:20250109T093604Z URL:https://math.technion.ac.il/en/events/%d7%a4%d7%95%d7%a0%d7%a7%d7%a6%d 7%99%d7%99%d7%aa-%d7%96%d7%98%d7%94-%d7%a9%d7%9c-%d7%a8%d7%99%d7%9e%d7%9f- %d7%95%d7%a4%d7%95%d7%a0%d7%a7%d7%a6%d7%99%d7%99%d7%aa-%d7%92%d7%9e%d7%94- %d7%a9%d7%9c-%d7%90/ SUMMARY:פונקציית זטה של רימן ופונקציית גמה ש ל אוילר DESCRIPTION:Lecturer:משה ברוך \n Location:814+ZOOM \n פונקציי ת זטה של רימן ופונקציית גמה של אוילר\,    משה ברוך\nיום ג\, 14.11  \,  17:00 \,   אמדו 814\nקי שור לזום:  https://technion.zoom.us/j/98250836997\n             ההרצאה הזו אינה תלויה בהרצאה על משפ ט המספרים הראשוניים ונתחיל מחדש מההגדרה של פונקציית זטה.\nההרצאה תינתן גם באופן פ רונטלי באמדו 814\n https://technion.zoom.us/j/98250836997 CATEGORIES:Faculty Events,Seminars LOCATION:814+ZOOM END:VEVENT BEGIN:VEVENT UID:125@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231115T173000 DTEND;TZID=Asia/Jerusalem:20231115T183000 DTSTAMP:20250109T093604Z URL:https://math.technion.ac.il/en/events/%d7%a0%d7%99%d7%9d-%d7%9c%d7%90- %d7%a0%d7%99%d7%9d-%d7%9e%d7%91%d7%95%d7%90-%d7%9c%d7%aa%d7%95%d7%a8%d7%aa -%d7%94%d7%9e%d7%a9%d7%97%d7%a7%d7%99%d7%9d-%d7%94%d7%a7%d7%95%d7%9e%d7%91 %d7%99%d7%a0%d7%98/ SUMMARY:נים לא נים - מבוא לתורת המשחקים הקומב ינטורית DESCRIPTION:Lecturer:רמי בנד \n Location:\n נים לא נים - מב וא לתורת המשחקים הקומבינטורית \,  רמי בנד \,\nיום ד\, 15.11 \,  17:30\nקישור לזום: https://technion.zo om.us/j/97324098416\nבמפגש נציג משחק לשני שחקנים ו נגלה מתמטיקה יפה הטמונה בו.\nהכוונה היא ל א רק לשמוע הרצאה\, אלא גם לשחק ממש.  לכן\, נ סו להגיע עם אפשרות כלשהי לצייר (למשל לוח גרפי\, אבל גם עכבר יעשה את העבודה \;)\nתוכלו גם להתחבר לזום מראש בצמדים (או בקבוצות ג דולות יותר) ואז לשחק באופן פיזי (כמו פעם).   במקרה זה הביאו איתכם כמה דפים וכלי כתיב ה\nניפגש\, רמי\n https://technion.zoom.us/j/97324098416 CATEGORIES:Faculty Events,Seminars END:VEVENT BEGIN:VEVENT UID:126@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231116T123000 DTEND;TZID=Asia/Jerusalem:20231116T133000 DTSTAMP:20250109T093604Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-bi-int erpretations-and-their-application-to-chevalley-groups/ SUMMARY:Cable Car Algebra Seminar: Bi-interpretations and their application to Chevalley groups DESCRIPTION:Lecturer:Helen Bunina (Bar Ilan)\n Location:Technion\, Amado Bu ilding\, Room 814\n We will introduce different types of bi-interpretation s and show how to apply them to algebraic and model-theoretic problems of Chevalley groups over fields.\nFor example:\n1. We will show that any grou p elementary equivalent to some Chevalley group is a Chevalley group itsel f.\n2. We will show that the Diophantine problem in any Chevalley group ov er a ring R is equivalent to the Diophantine problem of R.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:127@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231116T134000 DTEND;TZID=Asia/Jerusalem:20231116T144000 DTSTAMP:20250109T093605Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-the-to pology-and-arithmetic-of-hurwitz-spaces-lecture-1/ SUMMARY:Cable Car Algebra Seminar: The Topology and Arithmetic of Hurwitz S paces (lecture 1) DESCRIPTION:Lecturer:Mark Shusterman (Weizmann)\n Location:Technion\, Amado Building\, Room 814\n Hurwitz spaces are certain (finite) covers of confi guration spaces of points on a line associated to a (finite) group G.\nIn topology\, one is interested in the monodromy (group) of these covers\, an d in computing the homology of Hurwitz spaces. Such problems can also be s tated in terms of the fundamental groups of these configuration space - th e braid groups.\nIn geometry\, one views Hurwitz spaces as moduli spaces o f ramified G-covers of a line. An understanding of the set of such covers defined over global fields\, or over finite fields\, has implications to t he qualitative and quantitative inverse Galois problem. It turns out that topological information about Hurwitz spaces helps make progress toward su ch arithmetic problems.\nWe will survey this landscape emphasizing the mor e elementary open problems and approaches.\n(This is the first lecture fro m two talks\, the second one will be next week November 23.)\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:128@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231120T120000 DTEND;TZID=Asia/Jerusalem:20231120T130000 DTSTAMP:20250109T093605Z URL:https://math.technion.ac.il/en/events/6817/ SUMMARY:השיטה ההסתברותית בקומבינטוריקה DESCRIPTION:Lecturer:רוס פינסקי\n Location:זום\n  \;\nיו ם שני\, 20.11\, 12:00\n https://technion.zoom.us/j/98872217733\nהר צאה כיפית בשקפים שתדגים שיטה קסומה להוכי ח תוצאות ספציפיות בקומבינטוריקה\n https://tech nion.zoom.us/j/98872217733 CATEGORIES:Faculty Events,Seminars LOCATION:זום END:VEVENT BEGIN:VEVENT UID:129@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231121T110000 DTEND;TZID=Asia/Jerusalem:20231121T120000 DTSTAMP:20250109T093605Z URL:https://math.technion.ac.il/en/events/%d7%94%d7%9e%d7%aa%d7%9e%d7%98%d 7%99%d7%a7%d7%94-%d7%9e%d7%90%d7%97%d7%95%d7%a8%d7%99-set/ SUMMARY:SET המתמטיקה מאחורי DESCRIPTION:Lecturer:גלעד סופר\n Location:אמאדו 814 + זום \ n יום שלישי 21.11 \, 11:00 אמדו 814\n \;\n https://techni on.zoom.us/j/99145196365\nסט הוא משחק קלפים מהנה שבו השחקנים נדרשים לסווג קלפים עם ציורים לקב וצות שונות. בהרצאה אנחנו נלמד את החוקים ה בסיסיים של המשחק\, ואז נשתמש בכלים בסיסיי ם מאלגברה ליניארית וגיאומטריה אפינית כד י לחקור (ולהוכיח!) חלק מהתכונות המעניינות של המשחק. בנוסף\, נדון בקצרה על הכללות של המשחק SET לגיאומטריות נוספות\nגלעד סופר הו א דוקטורנט בפקולטה \n https://technion.zoom.us/j/99145196 365 CATEGORIES:Faculty Events,Seminars LOCATION:אמאדו 814 + זום END:VEVENT BEGIN:VEVENT UID:130@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231122T173000 DTEND;TZID=Asia/Jerusalem:20231122T183000 DTSTAMP:20250109T093605Z URL:https://math.technion.ac.il/en/events/%d7%9e%d7%91%d7%95%d7%90-%d7%9c% d7%92%d7%99%d7%90%d7%95%d7%9e%d7%98%d7%a8%d7%99%d7%94-%d7%a1%d7%a4%d7%a7%d 7%98%d7%a8%d7%9c%d7%99%d7%aa/ SUMMARY:מבוא לגיאומטריה ספקטרלית DESCRIPTION:Lecturer:רמי בנד\n Location:זום\n מבוא לגיאו מטריה ספקטרלית\, רמי בנד\nיום רביעי 22.11 \, 17 :30\n https://technion.zoom.us/j/97324098416\nנציג את תחום המ חקר בגיאומטריה הספקטרלית. נעשה זאת דרך ח ידה מתמטית-פיסיקלית שלקח כ 30 שנים לפתור ( ועדיין היא לא לגמרי פתורה)\nנדבר על כלי נג ינה לא שגרתיים כגון תופים שאינם עגולים ו רשתות מיתרי גיטרה שחוברו להם יחדיו\nנתהה האם די בשמיעה אבסולוטית כדי לנחש את צורת ו של כלי הנגינה והאם יש שני כלי נגינה שונ ים שנשמעים בדיוק אותו דבר\n https://technion.zoom.us/ j/97324098416 CATEGORIES:Faculty Events,Seminars LOCATION:זום END:VEVENT BEGIN:VEVENT UID:131@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231127T170000 DTEND;TZID=Asia/Jerusalem:20231127T180000 DTSTAMP:20250109T093605Z URL:https://math.technion.ac.il/en/events/%d7%9e%d7%a8%d7%a2%d7%a9-%d7%9c% d7%91%d7%9f-%d7%9c%d7%a8%d7%a2%d7%a9-%d7%98%d7%91%d7%a2%d7%99/ SUMMARY:מרעש לבן לרעש טבעי DESCRIPTION:Lecturer:אופיר דוד\n Location:זום\n מרעש לבן לרעש טבעי\, אופיר דוד\nיום שני 27.11 \, 17:00\nקי שור לזום: https://technion.zoom.us/j/98250836997\nאחת הבעיו ת המעניינות בעולם של הגרפיקה הממוחשבת זה לגרום לאובייקטים להראות כמה שיותר טבעיי ם\, החל מעננים והרים ועד שיער ועור. כבר מה התחלה ידעו שקצת שימוש ברעש לבן רנדומי עו זר לתחושת ה"טבעיות" הזאת\, אבל גם לעזרה ממ נו יש גבול. בהרצאה הזאת נראה איך אנשים יצ רו את הרעש הלבן הזה\, ושילבו אותו עם עוד ק צת מתמטיקה מעניינת\, כדי לבנות רעש "טבעי" שהיום משתמשים בו כמעט בכל מקום\, החל ממשח קי מחשב ועד סרטים בהוליווד.\nד"ר אופיר דוד הוא בוגר הפקולטה למתמטיקה\n https://technion.zoom.u s/j/98250836997 CATEGORIES:Faculty Events,Seminars LOCATION:זום END:VEVENT BEGIN:VEVENT UID:132@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231128T110000 DTEND;TZID=Asia/Jerusalem:20231128T120000 DTSTAMP:20250109T093605Z URL:https://math.technion.ac.il/en/events/%d7%a2%d7%9c-%d7%a2%d7%93%d7%a9% d7%95%d7%aa-%d7%95%d7%99%d7%a8%d7%97%d7%99%d7%9d-%d7%91%d7%90%d7%95%d7%a1% d7%a3-%d7%a9%d7%9c-%d7%9e%d7%a2%d7%92%d7%9c%d7%99%d7%9d-%d7%95%d7%a4%d7%a1 %d7%90%d7%95%d7%93/ SUMMARY:על עדשות וירחים באוסף של מעגלים ופסא ודו-מעגלים במישור DESCRIPTION:Lecturer:רום פנחסי\n Location:זום\n על עדשות וירחים באוסף של מעגלים ופסאודו-מעגלים במ ישור\, רום פנחסי\nיום שלישי\, 28.11 11:00\nקישור לזום: https://technion.zoom.us/j/98250836997\n https://technion.zoom.u s/j/98250836997 CATEGORIES:Faculty Events,Seminars LOCATION:זום END:VEVENT BEGIN:VEVENT UID:133@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231129T160000 DTEND;TZID=Asia/Jerusalem:20231129T170000 DTSTAMP:20250109T093605Z URL:https://math.technion.ac.il/en/events/%d7%a2%d7%9c-%d7%94%d7%aa%d7%95% d7%a8%d7%94-%d7%a9%d7%9c-%d7%96%d7%94%d7%95%d7%99%d7%95%d7%aa-%d7%a4%d7%95 %d7%9c%d7%99%d7%a0%d7%95%d7%9e%d7%99%d7%90%d7%9c%d7%99%d7%95%d7%aa/ SUMMARY:על התורה של זהויות פולינומיאליות DESCRIPTION:Lecturer:אלי אלחדף \n Location:זום + אמאדו 814 \n על התורה של זהויות פולינומיאליות\, אלי אלחדף\nיום רביעי 29.11\, 16:00\, אמדו 814\nhttps://techni on.zoom.us/j/98250836997\nההרצאה תינתן גם באופן פרונ טלי באמדו 814\n https://technion.zoom.us/j/98250836997 CATEGORIES:Faculty Events,Seminars LOCATION:זום + אמאדו 814 END:VEVENT BEGIN:VEVENT UID:134@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231204T170000 DTEND;TZID=Asia/Jerusalem:20231204T180000 DTSTAMP:20250109T093605Z URL:https://math.technion.ac.il/en/events/structure-theorems-for-the-host- kra-characteristic-factors-and-inverse-theorems-for-the-gowers-uniformity- norms/ SUMMARY:Structure theorems for the Host--Kra characteristic factors and inv erse theorems for the Gowers uniformity norms DESCRIPTION:Lecturer:Or Shalom (IAS)\n Location:https://technion.zoom.us/j/ 96584779784\n The Gowers uniformity k-norm on a finite abelian group measu res the averages of complex functions on such groups over k-dimensional ar ithmetic cubes. The inverse question about these norms asks if a large nor m implies correlation with a function of an algebraic origin.\nThe analogu e of the Gowers uniformity norms for measure-preserving abelian actions ar e the Host-Kra-Gowers seminorms\, which are intimately connected to the Ho st-Kra-Ziegler factors of such systems. The corresponding inverse question \, in the dynamical setting\, asks for a description of such factors in te rms of systems of an algebraic origin.\nIn this talk\, we survey recent re sults about the inverse question in the dynamical and combinatorial settin gs\, and in particular how an answer in the former setting can imply one i n the latter.\nThis talk is based on joint works with Asgar Jamneshan and Terence Tao. This talk is aimed at a general audience. In particular\, no prior knowledge in ergodic theory or additive combinatorics is required.\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:https://technion.zoom.us/j/96584779784 END:VEVENT BEGIN:VEVENT UID:135@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231205T170000 DTEND;TZID=Asia/Jerusalem:20231205T180000 DTSTAMP:20250109T093606Z URL:https://math.technion.ac.il/en/events/%d7%a2%d7%9c-%d7%9e%d7%a1%d7%a0% d7%a0%d7%99%d7%9d/ SUMMARY:על- מסננים DESCRIPTION:Lecturer:ניא אבני\n Location:https://northwestern.zoom.u s/j/4856695844\n על-מסננים\, ניר אבני\, נורת'ווסטר ן\nיום שלישי\, 5.12 בשעה 17:00\nקישור לזום: https:// northwestern.zoom.us/j/4856695844\nתקציר: יש טריק תורת קב וצתי מפורסם שבו משתמשים ברוב תחומי המתמט יקה כדי להפוך טענות איכותיות לטענות כמות יות או כדי לקשר בין העולם הסופי/דיסקרטי ל עולם הרציף. בהרצאה\, אני אגדיר את הגיבורי ם המרכזיים של הטריק\, על-מסננים\, אציג את ה טריק\, ובתור דוגמא\, אראה את ההוכחה הקסומה של ג'יימס אקס למשפט של אלכסנדר גרותנדיק.\ nניר אבני הוא פרופסור באוניברסיטת נורת'ו וסטרן ( Northwestern\n CATEGORIES:Faculty Events,Seminars LOCATION:https://northwestern.zoom.us/j/4856695844 END:VEVENT BEGIN:VEVENT UID:136@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231206T160000 DTEND;TZID=Asia/Jerusalem:20231206T170000 DTSTAMP:20250109T093606Z URL:https://math.technion.ac.il/en/events/%d7%a2%d7%9c-%d7%94%d7%aa%d7%95% d7%a8%d7%94-%d7%a9%d7%9c-%d7%96%d7%94%d7%95%d7%99%d7%95%d7%aa-%d7%a4%d7%95 %d7%9c%d7%99%d7%a0%d7%95%d7%9e%d7%99%d7%90%d7%9c%d7%99%d7%95%d7%aa-%d7%97% d7%9c%d7%a7-2/ SUMMARY:על התורה של זהויות פולינומיאליות (חל ק 2) DESCRIPTION:Lecturer:אלי אלחדף\n Location:https://technion.zoom.us/ j/98250836997 + אמאדו 814\n על התורה של זהויות פול ינומיאליות (חלק 2)\, אלי אלחדף\nיום רביעי 6.1 2 16:00\, אמדו 814\nקישור לזום: https://technion.zoom.us/j/98 250836997\nהרצאה זו היא הרצאת המשך אך אחזור בק צרה על המושגים העיקריים על מנת לאפשר לקה ל חדש להשתלב.\nההרצאה תינתן גם באופן פרונ טלי באמדו 814\n https://technion.zoom.us/j/98250836997 CATEGORIES:Faculty Events,Seminars LOCATION:https://technion.zoom.us/j/98250836997 + אמאדו 814 END:VEVENT BEGIN:VEVENT UID:138@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231207T123000 DTEND;TZID=Asia/Jerusalem:20231207T133000 DTSTAMP:20250109T093606Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-arithm etic-local-systems-and-siegel-linearization/ SUMMARY:Cable Car Algebra Seminar: Arithmetic Local Systems and Siegel Line arization DESCRIPTION:Lecturer:Borys Kadets (Hebrew University) \n Location:Technion\ , Amado Building\, Room 814\n In a joint work with Daniel Litt we borrow i deas from complex dynamics to show that for any normal variety X/k there i s an integer N\, such that any l-adic arithmetic local system on X which i s trivial modulo l^N is trivial. In this talk I will explain the meaning o f all of the words in the previous sentence\, how this result relates to c oncrete questions in arithmetic\, and what all of this has to do with Sieg el disks inside noncommutative balls.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:139@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231207T134000 DTEND;TZID=Asia/Jerusalem:20231207T144000 DTSTAMP:20250109T093606Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-combin atorial-wall-crossing-via-the-mullineux-involution/ SUMMARY:Cable Car Algebra Seminar: Combinatorial wall-crossing via the Mull ineux involution DESCRIPTION:Lecturer:Galyna Dobrovolska (Ariel University)\n Location:Techn ion\, Amado Building\, Room 814\n The rational Cherednik algebra H_c is an algebra of interest in modern representation theory\, which is a degenera tion of the double affine Hecke algebra\, introduced by Cherednik to prove Macdonald's conjectures about properties of Macdonald polynomials. For va lues of c lying in chambers separated by walls\, representations of H_c ar e labeled by partitions. Combinatorial wall-crossing is a bijection from t he set of irreducible representations of H_c to the set of irreducible rep resentations of H_c'\, where c and c' lie in adjacent chambers separated b y a wall. Combinatorial wall-crossing across one wall was proven by Losev to be equal in large positive characteristic to an extension of the Mullin eux involution from the modular representation theory of the symmetric gro up. We will exhibit interesting patterns in combinatorial wall-crossing\, both proven and observed in computer experiments and use them to prove and refine parts of the conjecture of Bezrukavnikov.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:137@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231207T150000 DTEND;TZID=Asia/Jerusalem:20231207T160000 DTSTAMP:20250109T093606Z URL:https://math.technion.ac.il/en/events/%d7%90%d7%9c%d7%92%d7%91%d7%a8%d 7%94-%d7%9e%d7%94%d7%a1%d7%a8%d7%98%d7%99%d7%9d/ SUMMARY:אלגברה מהסרטים DESCRIPTION:Lecturer:עדי וולף\n Location:https://technion.zoom.us/j/ 98566773982\n \n https://technion.zoom.us/j/98566773982 CATEGORIES:Faculty Events,Seminars LOCATION:https://technion.zoom.us/j/98566773982 END:VEVENT BEGIN:VEVENT UID:140@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20231227T123000 DTEND;TZID=Asia/Jerusalem:20231227T133000 DTSTAMP:20250109T093606Z URL:https://math.technion.ac.il/en/events/on-the-denseness-of-horospheres- in-higher-rank/ SUMMARY:On the denseness of horospheres in higher-rank DESCRIPTION:Lecturer:Or Landsberg (Yale)\n Location:Amado 814\n In this tal k I will discuss a necessary and sufficient condition for denseness of hor opherical orbits in the non-wandering set of a higher-rank homogeneous spa ce $G / \\Gamma$\, for a Zariski dense discrete subgroup $\\Gamma <\; G$ \, possibly of infinite covolume. In rank one this condition (established in this setting by Eberlein and Dal'bo) implies in particular that the ho rospherical subgroup acts minimally on the non-wandering set if and only i f the discrete group $\\Gamma$ is convex co-compact. In contrast\, we show that Schottky groups in higher-rank can support non-minimal horospherical actions. This distinction between rank-one and higher-rank is due to the role that Benoist's limit cone plays in the analysis. Based on joint work with Hee Oh.\n https://technion.zoom.us/j/96584779784 CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:141@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240101T123000 DTEND;TZID=Asia/Jerusalem:20240101T133000 DTSTAMP:20250109T093606Z URL:https://math.technion.ac.il/en/events/fourier-quasicrystals-via-lee-ya ng-polynomials/ SUMMARY:Fourier quasicrystals via Lee-Yang polynomials DESCRIPTION:Lecturer:Lior Alon (MIT)\n Location:Amado 814\n The concept of "quasiperiodic" sets\, functions\, and measures is prevalent in diverse ma thematical fields such as Mathematical Physics\, Fourier Analysis\, and Nu mber Theory. The Poisson summation formula provides a natural characteriza tion of quasiperiodicity: a counting measure of a discrete set is a Fourie r quasicrystal (FQ) if its Fourier transform is also a discrete atomic mea sure\, together with some growth condition.\nRecently\, Kurasov and Sarnak provided a method for constructing one dimensional FQs as the return time s of a linear flow along an irrational slope on a torus to the zero set of a multivariate Lee-Yang polynomial. In this talk\, I will show that\, in fact\, every one dimensional FQ admits such a construction. I will also di scuss the distribution of gaps in one dimensional FQs\, showing that they are dense in an interval\, and the distribution is given explicitly in ter ms of the slope and polynomial in the Kurasov-Sarnak construction. In the last part I will talk about a generalization of their construction to any dimension.\nThe talk is based on joint works with Alex Cohen\, Cynthia Vin zant\, Mario Kummer\, and Pavel Kurasov.\n https://technion.zoom.us/j/9658 4779784 CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:144@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240102T110000 DTEND;TZID=Asia/Jerusalem:20240102T120000 DTSTAMP:20250109T093606Z URL:https://math.technion.ac.il/en/events/learning-from-dependent-data-and -its-modeling-through-the-ising-model/ SUMMARY:Learning from dependent data and its modeling through the Ising mod el DESCRIPTION:Lecturer:Yuval Dagan \n Location:Amado 232 + ZOOM \n I will pre sent a theoretical framework for analyzing learning algorithms which rely on dependent\, rather than independent\, observations. While a common assu mption is that the learning algorithm receives independent datapoints\, su ch as unrelated images or texts\, this assumption often does not hold. An example is data on opinions across a social network\, where opinions of re lated people are often correlated\, for example as a consequence of their interactions. I will present a line of work that models the dependence bet ween such related datapoints using a probabilistic framework in which the observed datapoints are assumed to be sampled from some joint distribution \, rather than sampled i.i.d. The joint distribution is modeled via the Is ing model\, which originated in the theory of Spin Glasses in statistical physics and was used in various research areas. We frame the problem of le arning from dependent data as the problem of learning parameters of the Is ing model\, given a training set that consists of only a single sample fro m the joint distribution over all datapoints. We then propose using the Ps eudo-MLE algorithm\, and provide a corresponding analysis\, improving upon the prior literature which necessitated multiple samples from this joint distribution. Our proof benefits from sparsifying a model's interaction ne twork\, conditioning on subsets of variables that make the dependencies in the resulting conditional distribution sufficiently weak. We use this spa rsification technique to prove generic concentration and anti-concentratio n results for the Ising model\, which have found applications beyond the s cope of our work.\n https://technion.zoom.us/j/99123918760 CATEGORIES:Seminars LOCATION:Amado 232 + ZOOM END:VEVENT BEGIN:VEVENT UID:142@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240103T153000 DTEND;TZID=Asia/Jerusalem:20240103T163000 DTSTAMP:20250109T093606Z URL:https://math.technion.ac.il/en/events/rigidity-and-d-dimensional-algeb raic-connectivity-of-graphs/ SUMMARY:Rigidity and d-dimensional algebraic connectivity of graphs DESCRIPTION:Lecturer:Alan Lew\, Carnegie Mellon University\n Location:\n Li nk to the recorded talk (in panopto) \n \;\n\nA d-dimensional framewo rk is a pair (G\,p) consisting of a graph G and an embedding p of its vert ex set into R^d. The framework is said to be rigid if there is no continuo us motion of the vertices of G\, starting from the positions prescribed by p\, that preserves the lengths of all edges (other than the trivial motio ns -- rotations and translations of the whole graph). Recently\, Jordán a nd Tanigawa introduced the d-dimensional algebraic connectivity of a graph G. This is a quantitative measure of the rigidity of G\, which generalize s the classical notion of spectral expansion of graphs (corresponding to t he d=1 case).\n\nIn this talk I will present several results on the rigidi ty and d-dimensional algebraic connectivity of graphs. In particular\, I w ill discuss the existence of "rigidity expander graphs" (infinite families of sparse graphs whose d-dimensional algebraic connectivity is bounded aw ay from zero)\, and show several new results on the rigidity of random gra phs.\nBased on joint work with Eran Nevo\, Yuval Peled and Orit Raz\, and with Michael Krivelevich and Peleg Michaeli.\n https://technion.zoom.us/j/ 6550733370 CATEGORIES:Faculty Events,Seminars END:VEVENT BEGIN:VEVENT UID:147@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240109T113000 DTEND;TZID=Asia/Jerusalem:20240109T123000 DTSTAMP:20250109T093607Z URL:https://math.technion.ac.il/en/events/double-bubble-problem-in-non-iso tropic-norms/ SUMMARY:Double bubble problem in non-isotropic norms DESCRIPTION:Lecturer:Parker Duncan (Technion)\n Location:Meyer (EE) 861\n T he Double Bubble problem asks the following: given two volumes\, what are the two shapes admitting these volumes with the smallest perimeter\, where the perimeter of the joint boundary is counted once. While past solutions focused on rotationally invariant norms\, our work addresses non-isotropi c scenarios found in crystalline structures and lattice-based soup bubbles . We present three results: the first provides a solution to the Double Bu bble problem in the taxicab metric using elementary principles\, the secon d shows that the solution to the discrete double bubble problem in the tax icab metric is at most two more than the ceiling function of the continuou s solution\, and the final result presents the solution to the Double Bubb le problem in the hexagonal norm.  The works consist of new geometric and discrete optimization techniques.\nJoint work with Eviatar Procaccia and Rory O’Dwyer\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer (EE) 861 END:VEVENT BEGIN:VEVENT UID:148@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240110T110000 DTEND;TZID=Asia/Jerusalem:20240110T120000 DTSTAMP:20250109T093607Z URL:https://math.technion.ac.il/en/events/high-girth-steiner-triple-system s/ SUMMARY:High-girth Steiner triple systems DESCRIPTION:Lecturer:Michael Simkin (MIT)\n Location:Amado 719\n I will dis cuss our resolution of a 1973 conjecture of Erdős on the existence of Ste iner triple systems with arbitrarily large girth. (A Steiner triple system (STS) is a collection of triples on n vertices such that each pair is con tained in exactly one triple. Its girth is the smallest g >\; 3 for whic h there exist g vertices spanning at least g-2 triples.) Our construction builds on the methods of iterative absorption (Glock\, Kühn\, Lo\, and Os thus) and the high-girth triangle removal process (Glock\, Kühn\, Lo\, an d Osthus\; Bohman and Warnke).\n\nI will begin by motivating the problem a nd giving an overview of iterative absorption. As time permits\, I will di scuss the difficulties present in the high-girth setting and some ideas ne eded to overcome these challenges\, related to sparsification\, efficient absorption\, and retrospective analysis of random processes.\n\nThis is jo int work with Matthew Kwan\, Ashwin Sah\, and Mehtaab Sawhney. Based on ar Xiv:2201.04554\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:145@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240111T123000 DTEND;TZID=Asia/Jerusalem:20240111T133000 DTSTAMP:20250109T093607Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-probab ilistic-galois-theory-in-function-fields/ SUMMARY:Cable Car Algebra Seminar: Probabilistic Galois theory in function fields DESCRIPTION:Lecturer:Alexei Entin (Tel Aviv University)\n Location:Technion \, Amado Building\, Room 814\n Probabilistic Galois Theory studies the dis tribution of Galois groups in various natural ensembles of Galois extensio ns of global fields.\nThis area goes back to the classical result of van d er Waerden that most polynomials\n$X^n+a_{n-1}X^{n-1}+...+a_0$\, $a_i$ int egers\, $|a_i|<\;H$\nhave Galois group $S_n$ over $Q$ (n fixed\, $H \\to infty$) and has seen much activity and progress in recent years.\n\nIn th e talk I will survey the history of Probabilistic Galois Theory and recent developments in the area and discuss recent work joint with Alexander Pop ov\, Lior Bary-Soroker and Eilidh McKemmie on the distribution of Galois g roups over $F_q(t)$ (where $q$ is a prime power) of polynomials of the for m\n$X^n+a_{n-1}(t)X^{n-1}+...+a_0(t)$\, $a_i(t) \\in F_q[t]$ as well as ad ditive polynomials of the form $X^{q^n}+a_{n-1}(t)X^{q^{n-1}}+...+a_0(t)X\ ,$ $a_i(t) \\in F_q[t].$\n\nA novel feature of the latter family is that i t involves polynomials with Galois group $GL_n(q)$ and variants\, while pr eviously studied families involved variants of $S_n$. The main results rel y crucially on deep results on subgroups of $GL_n(q)$\, combined with a va riety of tools from algebra and analytic number theory.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:146@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240111T134000 DTEND;TZID=Asia/Jerusalem:20240111T144000 DTSTAMP:20250109T093607Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-distin ction-of-the-steinberg-representation-with-respect-to-a-symmetric-pair/ SUMMARY:Cable Car Algebra Seminar: Distinction of the Steinberg representat ion with respect to a symmetric pair DESCRIPTION:Lecturer:Jiandi Zou (Technion)\n Location:Technion\, Amado Buil ding\, Room 814\n Let $G$ be a reductive group over a non-archimedean loca l field $F$ of residual characteristic $p\neq 2$\, let $\\theta$ be an inv olution of $G$ over $F$ and let $H$ be the connected component of the $\\t heta$-fixed subgroup of $G$. We are interested in the problem of distincti on of the Steinberg representation $St_{G}$ of $G$ restricted to $H$. More precisely\, first we give a reasonable upper bound of the dimension of th e complex vector space\n$$Hom_H(St_G|_H\,C)$$\nwhich was previously known to be finite\, and secondly we calculate this dimension for special symmet ric pairs $(G\,H)$. For instance\, the most interesting case for us is whe n $G$ is a general linear group and $H$ is an orthogonal subgroup of $G$.\ n\nOur method follows from the previous results of Broussous--Court\\`es o n Prasad's conjecture. The basic idea is to realize $St_{G}$ as the $G$-sp ace of complex harmonic cochains on the Bruhat--Tits building of $G$. Thus the problem is somehow reduced to the combinatorial geometry of the Bruha t--Tits building. This is a joint work with Chuijia Wang.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:149@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240116T133000 DTEND;TZID=Asia/Jerusalem:20240116T143000 DTSTAMP:20250109T093607Z URL:https://math.technion.ac.il/en/events/shaping-liquids-into-optical-com ponents/ SUMMARY:Shaping liquids into optical components DESCRIPTION:Lecturer:Valeri Frumkin\n Location:Amado 814\n In this talk I w ill present how interfacial phenomena in fluid mechanics can be applied to the fabrication of high-quality optical components over a wide range of s cales and types.\nIn the first part of this talk\, I will present the Flui dic Shaping method\, which relies on surface energy minimization under neu tral buoyancy conditions to shape liquid bodies into optical topographies. This method has enabled rapid fabrication of a wide range of freeform opt ical components with sub-nanometric surface quality\, and was recently use d to demonstrate the first fabrication of lenses on board the Internationa l Space Station. I will also discuss how the inherent scale invariance of the Fluidic Shaping method\, made it the underlying technology behind the Fluidic Telescope Experiment (FLUTE) at NASA – a project aimed at explor ing the use of fluids for creation of large space telescopes.\nIn the seco nd part of my talk\, I will introduce a method that leverages projected li ght patterns as a mechanism for freeform deformations of thin liquid films via the thermocapillary effect. After establishing a basic model for the film’s topography under the effect of thermocapillarity\, I will introdu ce our approach to solving the inverse problem\, which is finding the temp erature field required to achieve a desired topography. I will then demons trate how combining photo-curable films with this approach can be used to fabricate high-quality\, solid diffractive optical elements\, in less than five minutes.\n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:150@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240117T103000 DTEND;TZID=Asia/Jerusalem:20240117T113000 DTSTAMP:20250109T093607Z URL:https://math.technion.ac.il/en/events/shifts-of-finite-type-and-c-alge bras/ SUMMARY:Shifts of finite type and C*-algebras DESCRIPTION:Lecturer:Boris Bilich (Haifa University and Gottingen Universit y)\n Location:Amado 814\n To each directed graph\, one can associate a dyn amical system with discrete time\, consisting of bi-infinite paths\, where the evolution mapping is defined by the path shift. Such a dynamical syst em is called a shift of finite type and it is a central object of study in symbolic dynamics.\n\n\nOne of the main open questions in this area is cl assification of shifts of finite type up to conjugacy and eventual conjuga cy. In a foundational work from 1973\, Williams reduced this problem to th e classification of incidence matrices of corresponding graphs up to shift (SE) and strong shift (SSE) equivalence. Williams presented a reasonable classification of matrices up to shift equivalence and hypothesized that S E and SSE coincide. Nearly 20 years later\, this was refuted by Kim and Ro ush through a counterexample.\n\n\n\nThis classification problem is closel y related to C*-algebras of graphs. It turns out that two graphs with SSE incidence matrices have stably isomorphic C*-algebras. Furthermore\, if we equip the C*-algebras of graphs with two additional structures: a commuta tive diagonal subalgebra and a gauge action of the circle\, then we obtain a complete invariant of strong shift equivalence. In our work with Dor-On and Ruiz\, we show that stable equivariant homotopic equivalence of C*-al gebras is equivalent to shift equivalence of graphs.\n\n\nIn the talk\, I will discuss these constructions and results in more detail and explain ho w the perspective of C*-algebras can help resolve open questions in symbol ic dynamics.\n\n\n CATEGORIES:Operator Algebras/Operator Theory,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:143@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240117T140000 DTEND;TZID=Asia/Jerusalem:20240117T150000 DTSTAMP:20250109T093607Z URL:https://math.technion.ac.il/en/events/formation-and-characterization-o f-synthetic-rna-protein-granules/ SUMMARY:Formation and characterization of synthetic RNA-protein granules DESCRIPTION:Lecturer:נאור גרניק\n Location:אולם 100 בפקול טה לביוטכנולוגיה ומזון\n Liquid-solid transition\, als o known as gelation\, is a specific form of phase separation in which mole cules cross-link to form a highly interconnected compartment with solid – like dynamical properties. Here\, we utilize RNA hairpin coat-protein binding sites to form synthetic RNA based gel-like granules via liquid-sol id phase transition. We show both in-vitro and in-vivo that hairpin contai ning synthetic long non-coding RNA (slncRNA) molecules granulate into brig ht localized puncta. We further demonstrate that upon introduction of the coat-proteins\, less-condensed gel-like granules form with the RNA creatin g an outer shell with the proteins mostly present inside the granule. More over\, by tracking puncta fluorescence signals over time\, we detected add ition or shedding events of slncRNA-CP nucleoprotein complexes. Consequent ly\, our granules constitute a genetically encoded storage compartment for protein and RNA with a programmable controlled release profile that is de termined by the number of hairpins encoded into the RNA. Our findings have important implications for the potential regulatory role of naturally occ urring granules and for the broader biotechnology field.\nתואר: מגי סטר\nשם המנחה: רועי עמית\n \;\n CATEGORIES:Graduation Seminars,Seminars LOCATION:אולם 100 בפקולטה לביוטכנולוגיה ומזון END:VEVENT BEGIN:VEVENT UID:153@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240117T143000 DTEND;TZID=Asia/Jerusalem:20240117T152000 DTSTAMP:20250109T093607Z URL:https://math.technion.ac.il/en/events/he-guo-technion-non-uniform-degr ees-and-rainbow-versions-of-the-caccetta-haggkvist-conjecture/ SUMMARY:He Guo (Technion) -- Non-uniform degrees and rainbow versions of th e Caccetta-Häggkvist conjecture DESCRIPTION:Lecturer:He Guo\n Location:814 Amado\n \nThe famous Caccetta-H äggkvist conjecture states that for any n-vertex directed graph D\, the d irected girth of D (the minimum length of a directed cycle in D) is at mos t \\lceil n/k \\rceil\, where k is the minimum out-degree of D. Aharoni ra ised a strengthening conjecture: for any n-vertex graph G equipped with an edge coloring (not necessarily proper) using n colors\, the rainbow girth of G (the minimum length of a cycle in G with distinctly colored edges) i s at most \\lceil n/k \\rceil\, where k is the minimum size of the color c lass. We will discuss some results in the non-uniform degrees and rainbow versions of the Caccetta-Häggkvist conjecture.\nBased on works joint with Ron Aharoni\, Eli Berger\, Maria Chudnovsky\, and Shira Zerbib.\n\n\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:151@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240124T103000 DTEND;TZID=Asia/Jerusalem:20240124T113000 DTSTAMP:20250109T093607Z URL:https://math.technion.ac.il/en/events/some-coactions-on-topological-qu iver-c-algebras/ SUMMARY:Some Coactions on Topological Quiver C*-algebras DESCRIPTION:Lecturer:Lucas Hall (Haifa University and Michigan State Univer sity)\n Location:Amado 814\n Topological quivers are the broadest topologi cal analogue of directed graphs\, and may be used to construct C*-algebras . I will present a topological version of the combinatorial skew product a nd show how this designs a natural coaction on the associated C*-algebra. With classical intuition at hand\, this develops a class of coactions whic h one can “see” in a noncommutative framework. I’ll gesture toward s ome work in progress generalizing these coactions to a broader setting.\n Topological quivers are the broadest topological analogue of directed grap hs\, and may be used to construct C*-algebras. I will present a topologica l version of the combinatorial skew product and show how this designs a na tural coaction on the associated C*-algebra. With classical intuition at h and\, this develops a class of coactions which one can “see” in a nonc ommutative framework. I’ll gesture toward some work in progress generali zing these coactions to a broader setting. CATEGORIES:Operator Algebras/Operator Theory,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:152@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240124T143000 DTEND;TZID=Asia/Jerusalem:20240124T152000 DTSTAMP:20250109T093608Z URL:https://math.technion.ac.il/en/events/ohad-klein-tel-hai-verifying-gro ups-in-linear-time/ SUMMARY:Ohad Klein (HUJI) -- Verifying Groups in Linear time DESCRIPTION:Lecturer:Ohad Klein\n Location:814 Amado\n Given an n × n mult iplication table\, how can one efficiently check whether it corresponds to a group? We will give a linear-time test.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:155@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240125T113000 DTEND;TZID=Asia/Jerusalem:20240125T123000 DTSTAMP:20250109T093608Z URL:https://math.technion.ac.il/en/events/cubulating-hyperbolic-mapping-to ri/ SUMMARY:Cubulating hyperbolic mapping tori DESCRIPTION:Lecturer:Suraj Krishna M S (Technion)\n Location:Amado 719\n A group is cubulated if it acts properly and cocompactly on a CAT(0) cube co mplex\, which is a generalisation of a product of trees. I will show in th e talk that semidirect products of hyperbolic groups with $\\mathbb{Z}$ wh ich are again hyperbolic are cubulated\, and give some consequences.\n\nTw o prominent examples of our setup are (1) mapping tori of fundamental grou ps of closed hyperbolic surfaces over pseudo-Anosov automorphisms\, and (2 ) mapping tori of free groups over atoroidal automorphisms. Both these cla sses of groups are known to be cubulated by outstanding works. Our proof uses these two noteworthy results as building blocks and places them in a unified framework.\n\nBased on joint work with François Dahmani and Jean Pierre Mutanguha.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:158@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240129T153000 DTEND;TZID=Asia/Jerusalem:20240129T163000 DTSTAMP:20250109T093608Z URL:https://math.technion.ac.il/en/events/symbolic-dynamics-through-the-le ns-of-c-algebras/ SUMMARY:Symbolic dynamics through the lens of C*-algebras DESCRIPTION:Lecturer:Adam Dor-On\n Location:Amado 232\n  In symbolic dynam ics\, Subshifts of Finite Type (SFTs) are often used as discretized models for orbit phenomena of various dynamical systems. Two-sided SFTs are bi-i nfinite paths of a directed graph together with the natural bilateral left shift on them\, and are therefore amenable to study via combinatorial and matrix-theoretical techniques.\nDespite their apparent simplicity\, we st ill do not know whether the conjugacy problem for SFTs is decidable\, and very basic examples still remain mysterious. In work of Williams from 1973 \, conjugacy of SFTs was shown to have an equivalent matrix-theoretical fo rmulation in terms of adjacency matrices\, and was conjectured to coincide with eventual conjugacy. This led to the discovery of various invariants that distinguish SFTs up to conjugacy\, as well as a counterexample to Wil liams conjecture in 1999 by Kim and Roush.\nTogether with early attacks on Williams conjecture\, Cuntz and Krieger found a construction of C*-algebr as associated to SFTs that recover several invariants of SFTs\, and have l ed to the discovery of new invariants. This makes several classification p roblems for Cuntz-Krieger C*-algebras especially relevant to the discovery of new (and computable) obstructions to conjugacy of SFTs. \nIn this tal k\, I will discuss various invariants of SFTs\, the relationship between t hem\, how to associate algebras to SFTs\, and some of the invariants that are captured by these algebras. Finally\, I will explain how C*-algebras o f SFTs are classified up to stable equivariant homotopy equivalence in ter ms of the SFTs\, leading to a new way of measuring the obstruction to conj ugacy of SFTs. Our proof relies on bimodule theory for C*-algebras\, as we ll as a new bicategorical approach for bimodules initiated by Meyer and hi s students.\n*Based on joint work with Boris Bilich (Haifa U.) and Efren R uiz (Hawai'i at Hilo).\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:162@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240130T113000 DTEND;TZID=Asia/Jerusalem:20240130T123000 DTSTAMP:20250109T093608Z URL:https://math.technion.ac.il/en/events/eviatar-procaccia-technion-verte x-removal-stability-and-the-least-positive-value-of-harmonic-measures/ SUMMARY:Eviatar Procaccia (Technion) -- Vertex-removal stability and the le ast positive value of harmonic measures DESCRIPTION:Lecturer:Eviatar Procaccia (Technion)\n Location:Meyer (EE) 861 \n We prove that for Z^d (d>\;1)\, the vertex-removal stability of harmo nic measures (i.e. it is feasible to remove some vertex while changing the harmonic measure by a bounded factor) holds if and only if d=2. The proof mainly relies on geometric arguments\, with a surprising use of the discr ete Klein bottle. Moreover\, a direct application of this stability verifi es a conjecture of Calvert\, Ganguly and Hammond\, for the exponential dec ay of the least positive value of harmonic measures on Z^2. Furthermore\, the analogue of this conjecture for Z^d with d>\; 2 is also proved in th is paper\, despite vertex-removal stability no longer holding.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer (EE) 861 END:VEVENT BEGIN:VEVENT UID:157@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240130T133000 DTEND;TZID=Asia/Jerusalem:20240130T143000 DTSTAMP:20250109T093608Z URL:https://math.technion.ac.il/en/events/dual-formulation-of-the-multi-st ate-schrodinger-poisson-equation/ SUMMARY:Dual formulation of the multi-state Schrodinger Poisson Equation DESCRIPTION:Lecturer:Gershon Wolansky\n Location:Amado 814\n I'll review  the Schrodinger-Poisson system in the attractive case (Choquard equation) \, and extend its formulation to multi state (involving several eigenstate s). A dual formulation\, handy for  this case\, will be presented. Using the Lieb-Thirring   inequality\, a result concerning the existence of ste ady states in the sub-critical regime is introduced.\n\n \;\n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:154@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240131T143000 DTEND;TZID=Asia/Jerusalem:20240131T152000 DTSTAMP:20250109T093608Z URL:https://math.technion.ac.il/en/events/janos-makowsky-technion-supercon gruences/ SUMMARY:Janos Makowsky (Technion) -- Supercongruences DESCRIPTION:Lecturer:Janos Makowsky\n Location:814 Amado\n \nLet M be set o f positive integers. A sequence s(n) satisfies a supercongruence for M if for every m in M the sequence s(m) mod m is ultimately periodic. s(n) is MC-finite if M=\\mathbb{N}. We discuss how to prove supercongruences and give various applications to integer sequences.\n\nJoint work with Y. Film us\, E. Fischer and V. Rakita.\n\n(Published as: MC-finiteness of restrict ed set partition functions\, Journal of Integer sequences\, vol. 26 (2023) Article 23.7.4)\n\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:156@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240201T113000 DTEND;TZID=Asia/Jerusalem:20240201T123000 DTSTAMP:20250109T093608Z URL:https://math.technion.ac.il/en/events/almost-representations-and-group -stability/ SUMMARY:"Almost" Representations and Group Stability DESCRIPTION:Lecturer:Bharatram Rangarajan\n Location:Amado 719\n \nConsider the following natural robustness question: is an almost-homomorphism of a group necessarily a small deformation of a homomorphism? This classical q uestion of stability goes all the way back to Turing and Ulam\, and can be posed for different target groups\, and different notions of distance. Gr oup stability has been an active line of study in recent years\, thanks to its connections to major open problems like the existence of non-sofic an d non-hyperlinear groups\, the group Connes embedding problem  and the re cent breakthrough result MIP*=RE\, apart from property testing and error-c orrecting codes.\nIn this talk\, I will survey some of the main results an d and questions in this area\, with a focus on cohomological techniques ba sed on joint works with Glebsky\, Lubotzky\, Monod\, and Fournier-Facio.\n \n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:159@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240205T153000 DTEND;TZID=Asia/Jerusalem:20240205T163000 DTSTAMP:20250109T093608Z URL:https://math.technion.ac.il/en/events/boxing-inequality/ SUMMARY:Boxing Inequality DESCRIPTION:Lecturer:Sergey Avvakumov\n Location:Amado 232\n Recall the def inition of the $m$th Hausdorff content of a metric space $X$: it is the in fimum of $\\sum d_i^m$\, wherethe infimum is taken over all coverings of $ X$ by a finite collection of open metric balls\, and $d_i$denote the diame ters of these balls.A subset $X$ of a Banach space (of finite or infinite dimension) can always be contracted\, or "filled"\, via a homotopy to an $ (m-1)$-dimensional subpolyhedron. The boxing inequality states that the $m $th Hausdorff content of the homotopy can be bounded in terms of the $m$th Hausdorff content of $X$. Note\, that this differs from the classical iso perimetric inequality where the $(m+1)$th volume of the filling is bounded .I will discuss the proof of this result and its connections to the notion s of Gromov's filling radius\, Urysohn width\, systole\, relations between these notions\, and corresponding geometric inequalities.\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:167@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240206T113000 DTEND;TZID=Asia/Jerusalem:20240206T123000 DTSTAMP:20250109T093608Z URL:https://math.technion.ac.il/en/events/noise-sensitivity-governed-by-ra ndom-walks-on-the-symmetric-group/ SUMMARY:Noise Sensitivity Governed by Random Walks on the Symmetric Group DESCRIPTION:Lecturer:Subhajit Ghosh\n Location:Meyer building (electrical e ngeneering)\, room 861\n In this talk\, we focus on the Boolean functions on the\nsymmetric group. The noise sources are various continuous-time ran dom\nwalks on the symmetric group. First\, we focus on the continuous-time \nrandom transposition walk\, and state equivalent criterion for noise\nse nsitivity and noise stability. These involve the Fourier\ntransformation o f the given function at irreducible representations (of\nthe symmetric gro up). We use them to study the sensitivity/stability\nnature of some Boolea n functions\, viz.\, the parity function\, the\ndictator function\, and th e indicator of the set of permutations with\n``long" cycles. Finally\, we give some comparison results when the noise\nsource is other continuous-ti me random walks\, viz. the star\ntransposition\, $s$-cycles ($s$ is even a nd ``small enough"). The\ntechniques used in this talk are based on the re presentation theory of\nthe symmetric group.\nThis is based on an ongoing work in progress with Gideon Amir.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:160@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240207T103000 DTEND;TZID=Asia/Jerusalem:20240207T113000 DTSTAMP:20250109T093609Z URL:https://math.technion.ac.il/en/events/biholomorphisms-between-subvarie ties-of-noncommutative-operator-balls/ SUMMARY:Biholomorphisms between subvarieties of noncommutative operator bal ls DESCRIPTION:Lecturer:Jeet Sampat (Technion)\n Location:Amado 814\n Given a d-dimensional operator space E with basis Q1\, ...\, Qd\, consider the cor responding noncommutative (nc) operator ball DQ determined by Q. In this t alk\, we discuss the problem of extending certain biholomorphic maps betwe en subvarieties V1 and V2 of nc operator balls DQ1 and DQ2 .\n\nFor triv ial reasons\, such an extension cannot exist in general\, and we discuss s everal examples to showcase the obstructions. When the operator spaces E1 and E2 are both injective\, and the subvarieties V1 and V2 are both homoge neous\, we show that a biholomorphism between V1 and V2 can be extended t o a biholomorphism between DQ1 and DQ2. Moreover\, we show that if such a n extension exists then there exists a linear isomorphism between DQ1 and DQ2 that sends V1 and V2.\n CATEGORIES:Operator Algebras/Operator Theory,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:171@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240207T143000 DTEND;TZID=Asia/Jerusalem:20240207T152000 DTSTAMP:20250109T093609Z URL:https://math.technion.ac.il/en/events/chaim-even-zohar/ SUMMARY:Chaim Even Zohar (Technion) -- The BCFW Tiling of the Amplituhedron DESCRIPTION:Lecturer:Chaim Even Zohar\n Location:814 Amado\n The amplituhed ron A(n\,k\,m) is a geometric object that encodes scattering amplitudes in various quantum field theories. It has been studied since its discovery i n 2013 by Arkani-Hamed and Trnka. One of the central conjectures about it has been that a certain collection of simpler subspaces forms a tiling of the amplituhedron A(n\,k\,4). In joint work with Tsviqa Lakrec and Ran Tes sler\, we have settled this conjecture. In the talk\, I will define the am plituhedron\, discuss the tiling problem\, present the combinatorial struc tures that appear in its solution\, and outline the main ideas from the pr oof.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:163@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240207T170000 DTEND;TZID=Asia/Jerusalem:20240207T180000 DTSTAMP:20250109T093609Z URL:https://math.technion.ac.il/en/events/%d7%94%d7%9e%d7%aa%d7%9e%d7%98%d 7%99%d7%a7%d7%94-%d7%a9%d7%9c-%d7%92%d7%a8%d7%a4%d7%99%d7%a7%d7%94-%d7%aa% d7%9c%d7%aa-%d7%9e%d7%99%d7%9e%d7%93%d7%99%d7%aa/ SUMMARY:המתמטיקה של גרפיקה תלת מימדית DESCRIPTION:Lecturer:ד״ר אופיר דוד (טכניון)\n Location:Ama do 232\n \nבעולם המודרני שלנו אנחנו מבלים לא מעט זמן מול מסכים דו-מימדיים וחלק לא קטן מהזמן הזה הם מראים לנו גרפיקה תלת-מימדית מאוד מעניינת. אבל מה בעצם קורה מאחורי הק לעים - איך המחשב לוקח סצנה תלת-מימדית ומט יל אותה על המסך הדו-מימדי\, ועוד עושה את ז ה בצורה מהירה ויעילה? בהרצאה הזאת נכיר את אלגוריתם ה Ray Marching\, המשתמש ברעיונות מתמט יים ותכנותיים מאוד פשוטים מצד אחד\, ומאו ד שימושיים מצד שני ובעזרתם יוצר אנימציות תלת-מימדיות.\n\n\nhttps://technion.zoom.us/j/95457797242?pwd=NE ZtbEtMRVdvb25udG9jbGFCZXkvUT09\n\n CATEGORIES:Math Club,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:161@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240208T113000 DTEND;TZID=Asia/Jerusalem:20240208T123000 DTSTAMP:20250109T093609Z URL:https://math.technion.ac.il/en/events/a-small-contribution-to-the-kerv aire-conjecture/ SUMMARY:A small contribution to the Kervaire conjecture DESCRIPTION:Lecturer:Dani Wise (McGill)\n Location:Amado 719\n I will give a quick survey of the known results and methods towards the Kervaire conje cture in combinatorial group theory. Then I will offer a small but pretty result that offers a new paradigm.\n\nThis is joint work with Andy Ramirez -Côté.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:164@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240208T123000 DTEND;TZID=Asia/Jerusalem:20240208T133000 DTSTAMP:20250109T093609Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-height -bounds-galois-orbits-and-unlikelty-intersections/ SUMMARY:Cable Car Algebra Seminar: Height bounds\, Galois orbits\, and Unli kely Intersections DESCRIPTION:Lecturer:Georgios Papas (HUJI) \n Location:Technion\, Amado Bui lding\, Room 814\n The Zilber-Pink conjecture is a far reaching and widely open conjecture in the area of unlikely intersections generalizing many p revious results in the area such as the André-Oort conjecture. Through va riations of a strategy first introduced by Pila and Zannier\, one can redu ce this conjecture for curves in certain Shimura varieties to upper bounds for the size of Galois orbits of so called "atypical points" on such curv es. We discuss how recent advances in a method first introduced by Y. Andr é that produces height bounds help us establish these upper bounds for Ga lois orbits\, and thus cases of Zilber-Pink\, for certain curves in spaces such as $Y(1)^n$ and $\\mathcal{M}_g$.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:168@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240208T133000 DTEND;TZID=Asia/Jerusalem:20240208T143000 DTSTAMP:20250109T093609Z URL:https://math.technion.ac.il/en/events/specialization-of-galois-groups- and-related-low-genus-phenomena-graduation-seminar/ SUMMARY:Specialization of Galois groups and related low-genus phenomena - G raduation Seminar DESCRIPTION:Lecturer:Tali Monderer \n Location:Amado 814\n \n\n\n\n\n\nGive n an irreducible bivariate polynomial f(t\,x) with rational coefficients\, what groups H appear as the Galois group of f(t'\,x) for infinitely many rationals t'? A key step in the investigation of this question\, and many others relating to specialization and reducibility\, lies in determining t he subcoverings of genus 0 and 1 of the corresponding Galois cover of the projective line. We determine\, for several families of Galois covers of l arge degree\, the low genus subcovers\; and describe applications to the s pecialization problem described above and to the Davenport-Lewis-Schinzel problem regarding reducibility of curves given by the equation h(x)=g(y).& nbsp\;\n\nAdvisor: Prof. Danny Neftin\n\n\n\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:165@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240208T134000 DTEND;TZID=Asia/Jerusalem:20240208T144000 DTSTAMP:20250109T093655Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-specia lization-of-galois-groups-and-related-low-genus-phenomena/ SUMMARY:Cable Car Algebra Seminar: Specialization of Galois groups and rela ted low-genus phenomena DESCRIPTION:Lecturer:Tali Monderer (Technion)\n Location:Technion\, Amado B uilding\, Room 814\n  Given an irreducible bivariate polynomial f(t\,x) w ith rational coefficients\, what groups H appear as the Galois group of f( t'\,x) for infinitely many rationals t'? A key step in the investigation o f this question\, and many others relating to specialization and reducibil ity\, lies in determining the subcoverings of genus 0 and 1 of the corresp onding Galois cover of the projective line. We determine\, for several fam ilies of Galois covers of large degree\, the low genus subcovers\; and des cribe applications to the specialization problem described above and to th e Davenport-Lewis-Schinzel problem regarding reducibility of curves given by the equation h(x)=g(y).\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:182@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240212T153000 DTEND;TZID=Asia/Jerusalem:20240212T163000 DTSTAMP:20250109T093655Z URL:https://math.technion.ac.il/en/events/from-elliptic-curves-to-ceresa-c ycles/ SUMMARY:From elliptic curves to Ceresa cycles. DESCRIPTION:Lecturer:Ari Shnidman (Hebrew University)\n Location:Amado 232\ n Given an algebraic variety X\, and two subvarieties Y\, Y'\, can Y be de formed to Y' within X? More generally\, we would like to understand the di fferent "deformation classes" of subvarieties of X of a given dimension.  For topological deformations\, the answer is given by singular cohomology and is rather well understood.  For algebraic deformations\, the answer is quite mysterious and depends heavily on the ground field. In codimensio n 1\, this amounts to studying rational points on abelian varieties (such as elliptic curves). In higher codimension\, much less is understood. I'll survey this topic and conclude by giving some new results in codimension two\, concerning the so-called Ceresa cycles.\n\n \;\n\n \n\nLight re freshments will be served at 15:00 at the faculty lounge on the 8th floor. \n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:179@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240212T160000 DTEND;TZID=Asia/Jerusalem:20240212T170000 DTSTAMP:20250109T093655Z URL:https://math.technion.ac.il/en/events/approximation-of-diagonally-inva riant-measure-by-tori-measures-graduation-seminar/ SUMMARY:Approximation of Diagonally Invariant Measure by Tori Measures - Gr aduation Seminar DESCRIPTION:Lecturer:Yuval Yifrach\n Location:Amado 815\n We consider the f amily of periodic measures for the full diagonal action on the space of un imodular lattices. This family is important and natural due to its tight r elation to class groups in number fields. We show that many natural famili es of measures on the space of lattices can be approximated using this fam ily (in the weak sense). E.g.\, in our work we show that for any 0<\;c\\ leq 1\, the measure cm_{X_n} can be approximated this way\, where m_{X_n} denotes the Haar probability measure on X_n. Moreover\, we show that non e rgodic measures can be approximated. Our proof is based on the equidistrib ution of Hecke neighbors and on constructions of special number fields. We will discuss the results\, alternative ways to attack the problem\, and o ur method of proof.\n\nThis talk is based on a joint work with Omri Solan. \n\nAdvisor: Prof. Uri Shapira\n https://technion.zoom.us/j/99968891639 CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 815 END:VEVENT BEGIN:VEVENT UID:184@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240213T113000 DTEND;TZID=Asia/Jerusalem:20240213T123000 DTSTAMP:20250109T093655Z URL:https://math.technion.ac.il/en/events/a-sharp-transition-in-the-zero-c ount-of-stationary-gaussian-processes/ SUMMARY:A sharp transition in the zero count of stationary Gaussian process es DESCRIPTION:Lecturer:Lakshmi Priya (TAU)\n Location:Meyer building (electri cal engeneering)\, room 861\n We study an aspect of the zeros of centered stationary Gaussianprocesses (SGP) on R\, namely NT\, which is the number of zeros in theinterval [0\,T]. In earlier studies\, under varying assumpt ions on thespectral measure of the SGP\, the following results/statistics wereobtained for NT: expectation\, variance asymptotics\, CLT\, exponentia lconcentration\, overcrowding estimates\, and finiteness of moments.We wil l restrict our attention to SGP with compactly supported spectralmeasure μ. Let A >\; 0 be the smallest number such that supp(μ) ⊆ [−A\, A] .Stationarity of the process implies that the expectation of NT  ispropor tional to T. Our primary interest is in overcrowding (resp. undercrowding) probability\, which is the probability of the event that thereis an exces s (resp. deficit) of zeros in [0\,T] compared to the expectednumber. Compa ring a couple of known results\, we can conclude that thereis a change in the behaviour of the probability P(NT ≥ ηT)\, as η varies.We show that there is indeed a sharp transition. That is\, thisprobability is at least of the order of exp(−CηT) for small η\, and atmost of order exp(−c ηT2) for large η. We will also identify the criticalη where this transi tion happens to be ηc = A/π. We also prove a similarresult for under cro wding probability when supp(μ) has a gap at the origin.This talk is based on a joint work with Naomi Feldheim &\; Ohad Feldheim.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:172@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240214T143000 DTEND;TZID=Asia/Jerusalem:20240214T152000 DTSTAMP:20250109T093655Z URL:https://math.technion.ac.il/en/events/eli-berger/ SUMMARY:Eli Berger (Haifa) -- Rainbow Matchings DESCRIPTION:Lecturer:Eli Berger\n Location:814 Amado\n Let M1\,...\,Mm be m atchings in some graph G.  A rainbow matching is a matching with at most one edge from each of M1\,...\,Mm.  Let n>\;=2 be some natural number.   In this talk\, I show that a sufficient condition for the existence of a rainbow matching of size n is sum_{i=n}^m (|M_i|-n+1) >\; 5 n log2(n)\ ,  (Where here we assume that each of M1\,...\,M(n-1) is at least as big as Mn\,...\,Mm).  In particular\, this holds when m >\;= n+sqrt(5 n log 2(n)) and each of M1\,...\,Mm has size at least n+sqrt(5 n log2(n)).  Thi s improves a similar result by Correia\, Pokrovskiy\, and Sudakov with 20n ^(7/8) instead of sqrt(5 n log2(n)).\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:170@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240214T170000 DTEND;TZID=Asia/Jerusalem:20240214T180000 DTSTAMP:20250109T093655Z URL:https://math.technion.ac.il/en/events/%d7%a2%d7%9c-%d7%a6%d7%9c%d7%99% d7%9c%d7%99%d7%9d-%d7%9e%d7%a1%d7%a4%d7%a8%d7%99%d7%9d-%d7%9e%d7%a0%d7%92% d7%99%d7%a0%d7%95%d7%aa-%d7%95%d7%9b%d7%99%d7%95%d7%95%d7%a0%d7%99%d7%9d-% d7%9e%d7%a4/ SUMMARY:על צלילים\, מספרים\, מנגינות וכיוונים - מפיתגורס עד ימינו DESCRIPTION:Lecturer:ד״ר יובל נוב (אוניברסיטת חיפה) \n Location:Amado 232\n \n\n\nהכיוון של כלי נגינה כרוך בבעיה מתמטית רצינית\, שכמה מגדולי המדעני ם בהיסטוריה (ביניהם גלילאו\, ניוטון ואויל ר) עסקו בה. ההרצאה תציג את "בעיית הכיוון" ו את הפתרונות שהוצעו לה במהלך הדורות\, על י תרונותיהם וחסרונותיהם.  ההרצאה מלווה בד וגמאות רבות\, ואינה דורשת ידע מוקדם במוזי קה.\n\n\n\n\nhttps://technion.zoom.us/j/95457797242?pwd=NEZtbEtMRVdvb25u dG9jbGFCZXkvUT09\n\n CATEGORIES:Math Club,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:181@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240215T113000 DTEND;TZID=Asia/Jerusalem:20240215T123000 DTSTAMP:20250109T093656Z URL:https://math.technion.ac.il/en/events/exotic-and-generic-groups-with-c ubical-fixed-point-properties/ SUMMARY:Exotic and generic groups with cubical fixed-point properties DESCRIPTION:Lecturer:Zachary Munro\n Location:Amado 919\n We will discuss c ubulated groups whose every action on an n-dimensional CAT(0) cube complex has a global fixed-point. We prove random groups have the n-dimensional f ixed-point property for all n\, and we demonstrate how to construct a grou p which acts freely on a locally finite cube complex yet whose every actio n on a finite dimensional cube complex has a global fixed-point.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:189@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240215T143000 DTEND;TZID=Asia/Jerusalem:20240215T153000 DTSTAMP:20250109T093656Z URL:https://math.technion.ac.il/en/events/projective-bridgeland-semistable -moduli-spaces-on-quotient-stacks/ SUMMARY:Projective Bridgeland Semistable Moduli Spaces on Quotient Stacks DESCRIPTION:Lecturer:Tal Ben-Yehuda (Technion)\n Location:Amado 814\n Modul i spaces are fundamental objects of interest across mathematics and physic s. These spaces parametrize isomorphism classes of algebro-geometric objec ts\, which come about frequently as solutions to classification problems. In algebraic geometry\, of special interest are moduli spaces of coherent sheaves on smooth projective varieties. A fruitful approach to studying th ese moduli spaces is via Fourier-Mukai transforms on the bounded derived c ategory D^b(CohX)\, built as the category of complexes of coherent sheaves on X\, up to quasi-isomorphism. But these autoequivalences do not always take sheaves to sheaves.  Enter Bridgeland's stability conditions - these conditions\, whose origins began in string theory\, allow us to apply aut oequivalences freely and use our intuition from classical stability. Under suitable assumptions\, for each stability condition and each numerical cl ass\, moduli spaces of stable objects in D^b(X) for an algebraic variety X \, exist as proper algebraic spaces. This formalism includes many previous ly studied moduli spaces such as moduli spaces of Giesker or slope-stable sheaves.   For most applications of Bridgeland stability\, one needs proj ective coarse moduli spaces of Bridgeland semistable objects. One problema tic aspect of Bridgeland stability is showing that the proper algebraic sp aces above are in fact projective varieties. Many varieties come about as quotients of covering varieties by the action of some group G. We prove th e following conjecture - Let X be a smooth projective variety\, and G a fi nite cyclic group acting on X. Assume X carries projective Bridgeland semi stable moduli spaces\, meaning for numerical class v and \\sigma \\in Stab (X) (a stability condition) the set M_\\sigma(v) of \\sigma-semistable obj ects of type v is such a projective moduli space\, then the quotient stack [X/G] has projective Bridgeland semistable moduli spaces as well. This is helpful to show projectivity in a range of cases\, as well as making a st ep towards finding a general construction of such moduli spaces.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:180@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240215T143000 DTEND;TZID=Asia/Jerusalem:20240215T153000 DTSTAMP:20250109T093656Z URL:https://math.technion.ac.il/en/events/projective-bridgeland-semistable -moduli-spaces-on-quotient-stacks-graduation-seminar/ SUMMARY:Projective Bridgeland Semistable Moduli Spaces on Quotient Stacks - Graduation Seminar DESCRIPTION:Lecturer:טל בן יהודה\n Location:אמדו 814\n Moduli spaces are fundamental objects of interest across mathematics and physics. These spaces parametrize isomorphism classes of algebro-geometric objects \, which come about frequently as solutions to classification problems. In algebraic geometry\, of special interest are moduli spaces of coherent sh eaves on smooth projective varieties. A fruitful approach to studying thes e moduli spaces is via Fourier-Mukai transforms on the bounded derived cat egory D^b(CohX)\, built as the category of complexes of coherent sheaves o n X\, up to quasi-isomorphism. But these autoequivalences do not always ta ke sheaves to sheaves.  Enter Bridgeland's stability conditions - these c onditions\, whose origins began in string theory\, allow us to apply autoe quivalences freely and use our intuition from classical stability. Under s uitable assumptions\, for each stability condition and each numerical clas s\, moduli spaces of stable objects in D^b(X) for an algebraic variety X\, exist as proper algebraic spaces. This formalism includes many previously studied moduli spaces such as moduli spaces of Giesker or slope-stable sh eaves.\n\n \;\n\nFor most applications of Bridgeland stability\, one n eeds projective coarse moduli spaces of Bridgeland semistable objects. One problematic aspect of Bridgeland stability is showing that the proper alg ebraic spaces above are in fact projective varieties. Many varieties come about as quotients of covering varieties by the action of some group G. We prove the following conjecture - Let X be a smooth projective variety\, a nd G a finite cyclic group acting on X. Assume X carries projective Bridge land semistable moduli spaces\, meaning for numerical class v and \\sigma \\in Stab(X) (a stability condition) the set M_\\sigma(v) of \\sigma-semis table objects of type v is such a projective moduli space\, then the quoti ent stack [X/G] has projective Bridgeland semistable moduli spaces as well . This is helpful to show projectivity in a range of cases\, as well as ma king a step towards finding a general construction of such moduli spaces.\ nתואר : מגיסטר\nמנחה : ד"ר נואר צבי יעקב\n CATEGORIES:Graduation Seminars,Seminars LOCATION:אמדו 814 END:VEVENT BEGIN:VEVENT UID:183@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240218T143000 DTEND;TZID=Asia/Jerusalem:20240218T153000 DTSTAMP:20250109T093656Z URL:https://math.technion.ac.il/en/events/regularity-of-the-product-of-two -relaxed-cutters-with-relaxation-parameters-beyond-two/ SUMMARY:Regularity of the product of two relaxed cutters with relaxation pa rameters beyond two DESCRIPTION:Lecturer:Rafal Zalas (Zielona Gora)\n Location:Room 814\, Amado Mathematics Building\n We study the product of two relaxed cutters having a common fixed point. We assume that one of the relaxation parameters is greater than two so that the corresponding relaxed cutter is no longer qua si-nonexpansive\, but rather demicontractive. We show that if both of the operators are weakly regular\, regular or linearly regular\, then under ce rtain conditions\, the resulting product inherits the same type of regular ity. We then apply these results to proving convergence in the weak\, norm and linear sense of algorithms that employ such products.\nThis is joint work with Andrzej Cegielski and Simeon Reich.\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Room 814\, Amado Mathematics Building END:VEVENT BEGIN:VEVENT UID:188@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240219T153000 DTEND;TZID=Asia/Jerusalem:20240219T163000 DTSTAMP:20250109T093656Z URL:https://math.technion.ac.il/en/events/symmetry-breaking-bifurcations-i n-fluid-structure-interaction/ SUMMARY:Symmetry-Breaking Bifurcations in Fluid-Structure Interaction DESCRIPTION:Lecturer:Jun Zhang\n Location:Amado 814\n The study of fluid-st ructure interaction involves many disciplines: from fluid dynamics\, biolo gical locomotion\, mechanical engineering\, geophysical phenomena to appli ed mathematics. In this talk\, I will demonstrate a few examples when seem ingly symmetric systems bifurcate into asymmetric and unstable states as a result of close interaction between structure and fluid. In particular\, one example shows how a "symmetric bird" or a symmetric wing\, once flappe d up and down in a fluid environment\, could "take off" and sustain a unid irectional flight. Another example shows that a model-continent\, when int eracting with a convective mantle\, results in oscillatory or trapped stat es. Further\, I will discuss a recent experiment that was inspired by the superrotation of the solid core of the Earth\, as a symmetric structure ta kes a spontaneous spin in a symmetric cavity that contains fluid undergoin g turbulent thermal convection. These phenomena were first found experimen tally\, and the results have been investigated by further experiments and numerical studies.\n\n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:187@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240220T113000 DTEND;TZID=Asia/Jerusalem:20240220T123000 DTSTAMP:20250109T093656Z URL:https://math.technion.ac.il/en/events/large-deviations-theory-for-chem ical-reaction-networks/ SUMMARY:Large deviations theory for chemical reaction networks. DESCRIPTION:Lecturer:Amir Dembo (Stanford) \n Location:Meyer building (elec trical engeneering)\, room 861\n Title: Scaling limits for growth driven b y reflecting Brownian motion\n \;\nAbstract: In joint works with Kevin Yang\, we consider a stochastic Laplacian growth model\, that can be view ed as a continuum version of origin-excited random walks. Here\, we grow t he (d+1)-dimensional manifold M(t) according to a reflecting Brownian moti on (RBM) on M(t)\, stopped at level sets of its boundary local time. An av eraging principle for the RBM characterizes the scaling limit for the lead ing order behavior of the interface (namely\, the boundary of M(t)). This limit is given by a locally well-posed\, geometric flow-type PDE\, whose b low-up times correspond to changes in the diffeomorphism class of the grow ing set. Smoothing the interface as we inflate M(t)\, yields an SPDE for t he large-scale fluctuations of an associated height function. This SPDE is a regularized KPZ-type equation\, modulated by a Dirichlet-to-Neumann ope rator. For d=1 we can further remove the regularization\, so the fluctuati ons of M(t) now have a double-scaling limit given by a singular KPZ-type e quation.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:185@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240221T103000 DTEND;TZID=Asia/Jerusalem:20240221T113000 DTSTAMP:20250109T093656Z URL:https://math.technion.ac.il/en/events/family-index-for-fredholm-extens ions-of-semi-fredholm-operators-2/ SUMMARY:Family index for Fredholm extensions of semi-Fredholm operators DESCRIPTION:Lecturer:Marina Prokhorova\n Location:Amado 814\n A family of F redholm operators has an invariant called the index which takes values in the K-group of the space of parameters. My talk is devoted to Fredholm rea lizations of semi-Fredholm operators in a Hilbert space. Such a realizatio n is determined by an abstract boundary condition\, which is a subspace of the space of abstract boundary values. I find the index of a family of Fr edholm realizations in terms of the corresponding family of boundary condi tions. I also prove a similar result for self-adjoint Fredholm extensions of symmetric semi-Fredholm operators.\nAll notions will be explained durin g the talk.\nThe talk is based on my recent preprint https://arxiv.org/abs /2401.16060.\n https://us02web.zoom.us/j/89193473512 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:173@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240221T143000 DTEND;TZID=Asia/Jerusalem:20240221T152000 DTSTAMP:20250109T093656Z URL:https://math.technion.ac.il/en/events/idan-mehalel/ SUMMARY:Idan Mehalel (Technion) -- Optimal Prediction Using Expert Advice a nd Randomized Littlestone Dimension DESCRIPTION:Lecturer:Idan Mehalel \n Location:814 Amado\n Suppose that n fo recasting experts (or functions) are providing daily rain/no-rain predicti ons\, and the best among them is mistaken in at most k many days. For how many days will a person allowed to observe the predictions\, but has no we ather-forecasting prior knowledge\, mispredict?\n\nIn this talk\, we will discuss how such classical problems can be reduced to calculating the (ave rage) depth of binary trees\, by using newly introduced complexity measure s (aka dimensions) of the set of experts/functions. All of those measures are variations of the classical Littlestone dimension (Littlestone ’88). \n\nFor the forecasting problem outlined above\, Cesa-Bianchi\, Freund\, H elmbold\, and Warmuth [’93\, ’96] provided a nearly optimal bound for deterministic learners\, and left the randomized case as an open problem. We resolve this problem by providing an optimal randomized learner\, and s howing that its expected mistake bound equals half of the deterministic bo und of Cesa-Bianchi et al.\, up to negligible additive terms.\n\nFor gener al (possibly infinite) function classes\, we show that the optimal expecte d regret (= #mistakes – k) when learning a function class with Littlesto ne dimension d is of order d + (kd)^0.5.\n\nBased on a joint work with Yuv al Filmus\, Steve Hanneke\, and Shay Moran.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:186@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240221T173000 DTEND;TZID=Asia/Jerusalem:20240221T183000 DTSTAMP:20250109T093656Z URL:https://math.technion.ac.il/en/events/%d7%9e%d7%aa%d7%9e%d7%98%d7%99%d 7%a7%d7%94-%d7%91%d7%a2%d7%95%d7%9c%d7%9d-%d7%94%d7%90%d7%9e%d7%99%d7%aa%d 7%99-%d7%91%d7%a2%d7%96%d7%a8%d7%aa-%d7%93%d7%95%d7%92%d7%9e%d7%90/ SUMMARY:מתמטיקה בעולם האמיתי בעזרת דוגמא DESCRIPTION:Lecturer:פרופ׳ אריאל ידין (אוניברסיטת בן-גוריון)\n Location:Amado 232\n \n\n\n\nמטרת השיחה הז ו היא להדגים כיצד ניתן לגשת באופן מתמטי ל בעיות ״בעולם האמיתי״.\n\nהדוגמא שלנו מגיע ה מעולם הטיפול התרופתי\, כאשר למחלה מסוימ ת ישנם כמה טיפולים.  לכל טיפול יש יתרונות וחסרונות\, אבל אף טיפול אינו אידיאלי.  אף אחד לא מוביל ״בכיוון הנכון״.\n\nמספר הפרו טוקולים האפשריים לשילוב של הטיפולים השו נים הוא אסטרונומי.  היינו מעוניינים למצו א את השילוב הכי טוב מבין כל הטיפולים\, כלו מר למצוא פרוטוקול שימקסם את סיכויי ההצלח ה של הטיפולים.\n\nאנחנו נהפוך את הסיפור הז ה למודל מתמטי מדויק\, ונראה שאפילו במצבים פשוטים יחסית יש כל כך הרבה אפשרויות לפרו טוקולים\, ששום מחשב לא יוכל לעבור על כל הפ רוטוקולים ולבדוק אותם. מצד שני\, אנחנו נש תמש בתאוריה מתמטית כדי להוכיח שאפשר למצ וא באופן יעיל פרוטוקול אופטימלי מבין אינ ספור הפרוטוקולים הקיימים.\n\n\n\n\n\n\nhttps://techn ion.zoom.us/j/95457797242?pwd=NEZtbEtMRVdvb25udG9jbGFCZXkvUT09\n\n CATEGORIES:Math Club,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:192@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240222T113000 DTEND;TZID=Asia/Jerusalem:20240222T123000 DTSTAMP:20250109T093657Z URL:https://math.technion.ac.il/en/events/hyperbolic-group-with-logarithmi c-separation-profiles/ SUMMARY:Hyperbolic groups with logarithmic separation profiles DESCRIPTION:Lecturer:Nir Lazarovich\n Location:Amado 719\n Joint with Coren tin Le Coz.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:190@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240226T160000 DTEND;TZID=Asia/Jerusalem:20240226T170000 DTSTAMP:20250109T093657Z URL:https://math.technion.ac.il/en/events/covering-radii-in-positive-chara cteristic/ SUMMARY:Covering radius in positive characteristic DESCRIPTION:Lecturer:Noy Soffer-Aranov\n Location:Amado 919\n Let L be a la ttice and let C be any subset in R^d. The covering radius of L with respec t to C is the infimum over all r >\; 0 such that L + rC = R^d is. It was conjectured by Minkowski that if C is the set of all x satisfying |x_1 \\ cdots x_d| \\leq 1\, then the covering radius of any unimodular lattice L with respect to C is at most 2^{-d}\, and this upper bound is obtained if and only if L is in AZ^d\, where A is the group of diagonal matrices. In t his talk I will discuss covering radii in the positive characteristic sett ing. In particular\, I will talk about the surprising connections between successive minima and covering radii with respect to convex sets\, and the solution of the positive characteristic analogue of Minkowski’s conject ure.\n https://technion.zoom.us/my/nesharim CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:191@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240226T160000 DTEND;TZID=Asia/Jerusalem:20240226T170000 DTSTAMP:20250109T093657Z URL:https://math.technion.ac.il/en/events/covering-radii-in-positive-chara cteristic-graduation-seminar/ SUMMARY:Covering Radii in Positive Characteristic - Graduation Seminar DESCRIPTION:Lecturer:נוי סופר אהרונוב\n Location:אמדו 919 \n A fascinating question in geometry of number pertains to the covering r adius of lattice with respect to an interesting function. For example\, gi ven a convex body C and a lattice L in R^d\, it is interesting to ask what is the infimal r ≥ 0 such that L + rC = R^d. Another interesting coveri ng radius is the multiplicative covering radius\, which connects to dynami cs due to its invariance under the diagonal group. It was conjectured by M inkowski that the multiplicative covering radius is bounded above by 2^{ -d} and that this upper bound is obtained only on AZ^d. In this talk I wil l discuss surprising results pertaining to covering radii in the positive characteristic setting and discover several surprising results. Some of m y results include explicitly connecting between the covering radii with re spect to convex bodies and successive minima and proving a positive charac teristic analogue of Minkowski’s function.\n \;\nשם : נוי סו פר אהרונוב\nתואר : דוקטורט\nמנחה : פרופ' או רי שפירא\n CATEGORIES:Graduation Seminars,Seminars LOCATION:אמדו 919 END:VEVENT BEGIN:VEVENT UID:196@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240228T103000 DTEND;TZID=Asia/Jerusalem:20240228T113000 DTSTAMP:20250109T093657Z URL:https://math.technion.ac.il/en/events/values-of-rokhlin-dimension-for- finite-group-actions/ SUMMARY:Values of Rokhlin dimension for finite group actions DESCRIPTION:Lecturer:Ilan Hirshberg (Ben-Gurion University)\n Location:Amad o 814\n Finite Rokhlin dimension\, a generalization of the Rokhlin propert y\, is a regularity property for actions of certain groups on C*-algebras. The main interest in Rokhlin dimension was its use to establish various p ermanence properties: for example\, if the C*-algebra acted on has finite nuclear dimension and the action has finite Rokhlin dimension then the cro ssed product again has finite nuclear dimension. As such\, the main intere st in Rokhlin dimension was to show that it is finite\, and not much atten tion was paid to its actual value. In particular\, while it is known that there are actions with positive finite Rokhlin dimension (that is\, have f inite Rokhlin dimension but do not have the Rokhlin property\, which corre sponds to Rokhlin dimension zero)\, there were no examples of actions of f inite groups with finite Rokhlin dimension greater than 2. I’ll discuss a recent preprint in which we provide examples of actions of finite groups  on simple AF algebras with arbitrarily large finite Rokhlin dimension. T his shows that Rokhlin dimension is not just a tool to establish regulari ty results\, but is an interesting invariant for group actions\, which in a sense measures the complexity of the action.\n*This is joint work with N . Christopher Phillips.\n https://us02web.zoom.us/j/89193473512 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:194@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240228T123000 DTEND;TZID=Asia/Jerusalem:20240228T133000 DTSTAMP:20250109T093657Z URL:https://math.technion.ac.il/en/events/classification-of-noncommutative -subvarieties/ SUMMARY:Classification of noncommutative subvarieties DESCRIPTION:Lecturer:Jeet Sampat (Technion)\n Location:Faculty lounge\, 8th floor\n Abstract:\n\nA corollary of Hilbert's Nullstellensatz is that the quotient algebras of two\nradical ideals in the ring of (commutative) pol ynomials in d complex variables\nare isomorphic to each other if and only if the corresponding varieties are\nisomorphic\, in the sense that there e xist polynomial maps between the ddimensional\ncomplex space that restrict to mutually inverse bijections between\nthe corresponding varieties. In t his talk\, we consider the noncommutative (nc)\nanalogue of the above resu lt and answer the following questions:\nWhen are two nc varieties "isomorp hic" to each other? What happens if we\nreplace the ring of complex polyno mials with some other algebra of complex\nnc functions?\nWe start with a s oft introduction to nc function theory and discuss some of the\nproperties that general nc functions share. For the main result\, we use a\nremarkab le theorem of Ball\, Marx\, and Vinnikov about extending nc functions\noff of subvarieties to show that if the ambient space is "nice enough" then t wo\nsubvarieties are isomorphic (in the sense that there is a bijective nc map\nbetween the subvarieties) if and only if this isomorphism is given b y the\nrestriction of an isomorphism between the ambient spaces.\n CATEGORIES:Pizza Seminar,Seminars LOCATION:Faculty lounge\, 8th floor END:VEVENT BEGIN:VEVENT UID:195@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240228T130000 DTEND;TZID=Asia/Jerusalem:20240228T140000 DTSTAMP:20250109T093657Z URL:https://math.technion.ac.il/en/events/network-formation-for-learning-g raduation-seminar/ SUMMARY:Network Formation for Learning - Graduation Seminar DESCRIPTION:Lecturer:Lior Sasson\n Location:Room 527 Bloomfield Building\, הפקולטה למדעי הנתונים וההחלטות\n We study a net work formation interaction in which the formatted network serves the agent s to form beliefs about an unknown state via the DeGroot naive learning pr ocess. Consequently\, the value of the network captures the ability of the network to aggregate information. We focus on the notion of \\textit{stab le networks} in which agents do not want to create or erase any of their l inks.\nWe precisely characterize the costs for which a stable network exis ts. Whenever a stable network exists\, either the cycle network\, the line network\, or the empty network is stable. We further provide structural p roperties for every stable network: in every stable network\, the degree o f any two vertices differs by at most one. As a corollary we get that any  stable network aggregates information well and a price of anarchy upper bound is provided.\n\nAdvisor: Prof. Udi Yariv\n\n\n\n\n\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Room 527 Bloomfield Building\, הפקולטה למדעי הנתו נים וההחלטות END:VEVENT BEGIN:VEVENT UID:174@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240228T143000 DTEND;TZID=Asia/Jerusalem:20240228T152000 DTSTAMP:20250109T093657Z URL:https://math.technion.ac.il/en/events/lianna-hambardzumyan/ SUMMARY:Lianna Hambardzumyan (HUJI) -- On a problem in Additive Combinatori cs and Communication Complexity DESCRIPTION:Lecturer:Lianna Hambardzumyan\n Location:814 Amado\n A central question in additive combinatorics is to understand how large arithmetic p rogression free sets can be. In this talk\, I will focus on this question for high-dimensional generalization of arithmetic progressions (AP) known as corners.\n\nA (2-dimensional) corner is a triple of the form (x\, y)\,( x + d\, y)\,(x\, y + d) for some d >\; 0 in [N] × [N]. Extending this d efinition to higher dimensions\, a k-dimensional corner in [N]^k is a (k+1 )-tuple defined similarly. It is known that corner-free sets have a vanish ingly small density\, but the precise bounds on their size are unknown. Un til recently\, the best-known corner-free sets were derived from construct ions of AP-free sets: a construction of a 3-term AP-free set by Behrend fr om 1946\, and a generalization by Rankin for k-term APs in 1961. New resul ts by Linial and Shraibman (CCC 2021) and Green (New Zealand Journal of Ma thematics 2021) changed this picture\; they improved the upper bound for k = 2 by adopting a communication complexity point of view.\n\nIn our recen t work we employ the same perspective of communication complexity and obta in the first improvement on the upper bound of the size of high-dimensiona l (k >\; 2) corner-free sets since the original construction of Rankin.\ n\nBased on joint work with Toniann Pitassi\, Suhail Sherif\, Morgan Shirl ey\, and Adi Shraibman.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:197@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240229T113000 DTEND;TZID=Asia/Jerusalem:20240229T123000 DTSTAMP:20250109T093657Z URL:https://math.technion.ac.il/en/events/the-theory-of-random-groups/ SUMMARY:The Theory of Random Groups DESCRIPTION:Lecturer:Sobhi Masssalha (HUJI)\n Location:Amado 719\n The Tars ki conjecture states that two f.g. free gps cannot be distinguished by the truthness of a given first order sentence. That is\, a given sentence is true over any f.g. free gp if and only if it is true over the free gp on t wo generators. Given a sentence\, we can naturally seek for f.g. gps that can be distinguished from free gps by the given sentence. An open question in this context states that given a sentence\, the collection of f.g. gps that can be distinguished from free gps by the given sentence is negligib le\, that is\, if the sentence is true over f.g. free gps\, then it is tru e over almost all the f.g. gps. In our talk\, we will present the formal g round of this question\, and as much as time allows\, we present some of t he strategies that we plan to use in order to prove it.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:198@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240304T153000 DTEND;TZID=Asia/Jerusalem:20240304T163000 DTSTAMP:20250109T093657Z URL:https://math.technion.ac.il/en/events/the-shape-of-math-to-come/ SUMMARY:"The Shape of Math to Come" DESCRIPTION:Lecturer:Alex Kontorovich (Rutgers University)\n Location:Amado 232\n Abstract: We will discuss some ongoing experiments at the interface of human and computer mathematics that may have a meaningful impact on wh at research mathematics might look like in a decade (if not sooner).\n htt ps://technion.zoom.us/j/97913848589 CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:199@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240305T133000 DTEND;TZID=Asia/Jerusalem:20240305T143000 DTSTAMP:20250109T093657Z URL:https://math.technion.ac.il/en/events/completing-large-matrices-with-o nly-few-observed-entries-a-provable-one-line-algorithm/ SUMMARY:Completing large matrices with only few observed entries: A provabl e one-line algorithm DESCRIPTION:Lecturer:Pini Zilber\n Location:Amado 814\n Suppose you observe very few entries from a large matrix. In many applications\, you can safe ly assume the matrix is (approximately) low rank. How can you use this kno wledge to complete the missing entries? In this talk\, I will present a no vel yet surprisingly simple method to solve the problem. Our method is sho wn to recover the matrix in the challenging settings of very few observati ons and/or ill-conditioning\, where many popular methods fail. We also pro ve strong theoretical guarantees for our method\, some of which improve up on the state of the art. Finally\, I will discuss how one can complete a m atrix by incorporating extra knowledge beyond its observed entries\, a pro blem known as inductive matrix completion. The talk is based on two joint papers with Boaz Nadler\, published in SIMODS and ICML.\n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:200@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240306T133000 DTEND;TZID=Asia/Jerusalem:20240306T143000 DTSTAMP:20250109T093658Z URL:https://math.technion.ac.il/en/events/many-valued-modal-logic-graduati on-seminar/ SUMMARY:Many-Valued Modal Logic - Graduation Seminar DESCRIPTION:Lecturer:עמיר קרניאל \n Location:אמאדו 814 + ז ום \n Modal logic is a kind of logic used to represent statements about necessity and possibility. It is used in computer science to reason about concepts such as uncertainty and time-dependent properties\, for example i n formal verification and in knowledge representation.\n\n \;\n\nMany- valued logic is a logic in which there are more than two truth values. It is used\, for example\, to represent partial or inconsistent information i n databases and in information retrieval systems.\n\n \;\n\nWe combine the two concepts in a general and comprehensive way. Specifically\, given any finite ordered set of truth values and any set of connectives\, we de fine two main kinds of many-valued modal logics\, formulated in a certain syntax called Gentzen's sequent calculus\, and prove their soundness and s trong completeness with respect to certain kinds of Kripke semantics.\n\n& nbsp\;\n\nAdditionally\, we show results such as logic extensions\, finite model property\, strong decidability\, duality via negation and relation to intuitionistic logics.\n\n \;\nמנחה :פרופ' אמריטוס קמינסקי מיכאל \, מדעי המחשב\n https://technion.zoom.u s/j/4520047073 CATEGORIES:Graduation Seminars,Seminars LOCATION:אמאדו 814 + זום END:VEVENT BEGIN:VEVENT UID:175@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240306T143000 DTEND;TZID=Asia/Jerusalem:20240306T152000 DTSTAMP:20250109T093658Z URL:https://math.technion.ac.il/en/events/ilay-hoshen/ SUMMARY:Ilay Hoshen (Tel Aviv) -- Stability of large cuts in random graphs DESCRIPTION:Lecturer:Ilay Hoshen\n Location:814 Amado\n We prove that the f amily of largest cuts in the binomial random graph exhibits the following stability property:\n\nIf 1/n <\;<\; p <\; 1-Omega(1)\, then\, with high probability\, there is a set of n-o(n) vertices that is partitioned i n the same manner by all maximum cuts of G(n\,p). Moreover\, the analogous statement remains true when one replaces maximum cuts with nearly-maximum cuts.\n\nWe then demonstrate how one can use this statement as a tool for showing that certain properties of G(n\,p) that hold in a fixed balanced cut hold simultaneously in all maximum cuts. We provide two example applic ations of this tool. In this talk\, we show that maximum cuts in G(n\,p) t ypically partition the neighbourhood of every vertex into nearly equal par ts\; this resolves a conjecture of DeMarco and Kahn for all but a narrow r ange of densities p. We will also mention another application regarding sh arp thresholds in Tura'n-type problems.\n\nThis is joint work with Wojciec h Samotij and Maksim Zhukovskii.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:166@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240307T123000 DTEND;TZID=Asia/Jerusalem:20240307T133000 DTSTAMP:20250109T093658Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-a-cheb otarev-density-theorem-over-p-adic-fields/ SUMMARY:Cable Car Algebra Seminar: A Chebotarev density theorem over p-adic fields. DESCRIPTION:Lecturer:Asvin G (HUJI) \n Location:Technion\, Amado Building\ , Room 814\n This is joint work with Yifan Wei and John Yin. Recently\, Cr emona\, Bhargava\, Fisher and Gajovic conjectured that certain naturally o ccurring factorization densities over the p-adics should form a rational f unction in the prime p and have a functional equation. Inspired by this co njecture\, we develop a framework for a p-adic analogue of the Chebotarev density theorem and prove it assuming the existence of nice resolutions. A s a consequence of this general framework\, we prove the above conjecture on factorization densities completely by constructing a nice resolution of the "resultant locus".\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:202@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240307T134000 DTEND;TZID=Asia/Jerusalem:20240307T144000 DTSTAMP:20250109T093658Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-width- of-words-in-linear-groups/ SUMMARY:Cable Car Algebra Seminar: Width of words in linear groups. DESCRIPTION:Lecturer:Pavel Gvozdevsky (Bar Ilan)\n Location:Technion\, Amad o Building\, Room 814\n A word is an element in a free group. Given a word $w = w(x_1\, \\dots\, w_k) \\in F_d$ and a group G\, we have the word map $w: G^k \\to G$ defined by substitution. The set of values w(G) consists of the image of this map and the inverses of elements of the image. The wi dth of the word w in the group G is the minimal constant C such that every element of <\;w(G)>\; can be expressed as the product of C elements o f w(G).\n\nThe talk will be devoted to known results about width of words in certain linear groups\, such as algebraic groups over an algebraically closed field\, compact Lie groups\, finite simple groups\, general linear groups over a skew field\, and Chevalley groups over commutative rings. Th e following recent result by the speaker will be discussed in detail:\n\nL et \\Phi be an irreducible root system of rank at least 2. For every posit ive integer d there exists a constant $C(\\Phi\, d)$ such that for every r ing R which is a localization of the ring of integers of a number field of degree d (with certain additional assumption for the root systems C_2 and G_2) the width of any word in the simply connected Chevalley group $G(\\P hi\,R)$ is at most $C(\\Phi\,d)$.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:203@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240311T153000 DTEND;TZID=Asia/Jerusalem:20240311T163000 DTSTAMP:20250109T093658Z URL:https://math.technion.ac.il/en/events/metric-functional-boundaries-of- groups/ SUMMARY:“Metric functional boundaries of groups” DESCRIPTION:Lecturer:Ariel Yadin (Ben Gurion University)\n Location:Amado 2 32\n Abstract:  Based on works of Busemann and Gromov\, Anders Karlsson h as proposed a theory of “metric functionals” on a general metric space \, as a replacement for linear functionals when there is no linear structu re. For discrete spaces\,  these can be identified with “horofunctions ”.\n\nWe will discuss some aspects of these objects for “well suited ” metrics on discrete groups.\n\nWe are mainly interested in the interac tion between the geometry and the algebraic properties of the group.\n\nFo r example\, it seems that metric functionals can be useful in studying the structure of “small” groups\, and understanding the existence of (vir tual) characters.\n\nI am not assuming familiarity with any of the above n otions\, and plan to properly define everything presented in the talk.\n\n This is based on joint works with Liran Ron-George and Maud Szusterman.\n\ n \;\n\n \n\nLight refreshments will be served at 15:00 at the facult y lounge on the 8th floor. \n https://technion.zoom.us/j/91823108726 CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:201@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240311T173000 DTEND;TZID=Asia/Jerusalem:20240311T183000 DTSTAMP:20250109T093658Z URL:https://math.technion.ac.il/en/events/%d7%9e%d7%a4%d7%92%d7%a9-%d7%9e% d7%97%d7%a7%d7%a8-%d7%9e%d7%aa%d7%9e%d7%98%d7%99-%d7%9c%d7%a1%d7%98%d7%95% d7%93%d7%a0%d7%98%d7%99%d7%9d/ SUMMARY:מפגש מחקר מתמטי לסטודנטים DESCRIPTION:Lecturer:משתלמים בפקולטה \n Location:אמאדו 2 32 \n \n CATEGORIES:Seminars LOCATION:אמאדו 232 END:VEVENT BEGIN:VEVENT UID:204@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240312T133000 DTEND;TZID=Asia/Jerusalem:20240312T143000 DTSTAMP:20250109T093658Z URL:https://math.technion.ac.il/en/events/revisiting-the-exclusion-princip le-in-epidemiology-at-its-ultimate-limit/ SUMMARY:Revisiting the exclusion principle in epidemiology at its ultimate limit  DESCRIPTION:Lecturer:Nir Gavish\n Location:Amado 814\n  \nThe competitive exclusion principle in epidemiology implies that more transmissible strain s will tend to outcompete other strains\, leading to the extinction of les s competitive strains over time.  This principle holds true when the reco very by one strain provides complete immunity to other strains' infections .  Nevertheless\, studies have shown that there is coexistence among comp eting strains in epidemic systems with various interactions between the st rains\, but these studies focus only on cases where there are slight diffe rences in transmissibility\, resulting in limited competition between the strains.  One can expect that if one strain has a substantial competitive advantage over others\, the competitive exclusion principle would come in to play\, overriding coexistence mechanisms.\n \nIn this work\, we use as ymptotic methods to test the validity of the exclusion principle at an ult imate limit in which one strain has a vast competitive advantage over the other strains.   We show that in the case of partial cross-immunity\, su ch systems have a stable multi-species endemic equilibrium. Thus\, the com petitive exclusion principle does not hold beyond the established case of complete immunity.   Furthermore\, we have provided examples of cases wh ere the less transmissible strain is driven to extinction when the other s train is moderately more transmissible\, but not when the other strain is significantly more transmissible.\n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:205@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240313T123000 DTEND;TZID=Asia/Jerusalem:20240313T133000 DTSTAMP:20250109T093658Z URL:https://math.technion.ac.il/en/events/the-fractal-properties-of-the-gr aphs-of-weierstrass-functions/ SUMMARY:The fractal properties of the graphs of Weierstrass functions DESCRIPTION:Lecturer:Haojie Ren (Technion)\n Location:Faculty Lounge 8th fl oor Amado\n In this presentation\, we'll start by discussing Weierstrass f unctions\, which are the most famous example of continuous nowhere differe ntiable functions\, initially introduced by Weierstrass. Following that\, we'll introduce the concept of fractal dimension and illustrate its calcul ation using the Cantor set. Then\, we'll briefly review the historical con text. Next\, we'll provide a simple proof of the box dimension of its grap h\, and finally\, we'll introduce my result joint with Professor Weixiao S hen.\n CATEGORIES:Pizza Seminar,Seminars LOCATION:Faculty Lounge 8th floor Amado END:VEVENT BEGIN:VEVENT UID:176@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240313T143000 DTEND;TZID=Asia/Jerusalem:20240313T152000 DTSTAMP:20250109T093658Z URL:https://math.technion.ac.il/en/events/chaya-keller/ SUMMARY:Chaya Keller (Ariel) -- New Bounds for Zarankiewicz's Problem via e psilon-t-Nets DESCRIPTION:Lecturer:Chaya Keller \n Location:814 Amado\n The classical Zar ankiewicz's problem asks for the maximum number of edges in a bipartite gr aph on n vertices which does not contain the complete bipartite graph K_{t \,t}. In one of the cornerstones of extremal graph theory\, Kővari\, Sós and Turán proved an upper bound of O(n^{2-1/t}). In a celebrated result\ , Fox\, Pach\, Sheffer\, Suk and Zahl obtained an improved bound of O(n^{2 -1/d}) for graphs of VC-dimension d (where d<\;t). Recently\, Chan and H ar-Peled presented (quasi-)linear upper bounds for several classes of geom etrically-defined incidence graphs\, including a bound of O(n log log n) f or the incidence graph of points and pseudo-discs in the plane.\n\nIn this talk we present a new approach to Zarankiewicz's problem\, via epsilon-t- nets -- a recently introduced generalization of the classical notion of ep silon-nets. We show that the existence of `small'-sized epsilon-t-nets imp lies upper bounds for Zarankiewicz's problem. Using the new approach\, we obtain a new proof of the O(n^{2-1/d}) bound of Fox et al.\, and a sharp b ound of O(n) for the intersection graph of two families of pseudo-discs\, thus both improving and generalizing the result of Chan and Har-Peled from incidence graphs to intersection graphs.\n\nWe also obtain improved bound s for several other classes of geometric intersection graphs\, including a sharp O(n log n / log log n) bound for the intersection graph of two fami lies of axis-parallel rectangles.\n\nJoint work with Shakhar Smorodinsky.\ n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:208@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240314T113000 DTEND;TZID=Asia/Jerusalem:20240314T123000 DTSTAMP:20250109T093659Z URL:https://math.technion.ac.il/en/events/free-subgroups-of-sl2c-generated -by-two-parabolic-elements-and-syllable-length-of-relators/ SUMMARY:Free subgroups of SL(2\,C) generated by two parabolic elements and syllable length of relators. DESCRIPTION:Lecturer:Rotem Yaari (TAU)\n Location:Amado 719\n Determining w hich pairs of parabolic elements of SL(2\, C) generate a free group is a l ong-standing problem.\nWe will explore and prove certain results before fo cusing on a collection of subgroups of particular interest\, which is conj ectured to consist of only non-free subgroups.\nWhile many of those subgr oups are known to be non-free\, all methods to find such subgroups rely on the presence of relators of short syllable length. We will explain how to construct subgroups with no such short relators\, implying that existing  methods might not be suitable for solving the conjecture.\n\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:207@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240314T153000 DTEND;TZID=Asia/Jerusalem:20240314T163000 DTSTAMP:20250109T093659Z URL:https://math.technion.ac.il/en/events/combinatorial-transverse-interse ction-algebra/ SUMMARY:Combinatorial transverse intersection algebra DESCRIPTION:Lecturer:Ruth Lawrence (HUJI)\n Location:Amado 814\n According to folklore\, it is impossible to construct a faithful finite dimensional algebraic model of differential forms\nwhich preserves all three propertie s of (graded) commutativity\, associativity and the Leibniz rule.\nIn this talk we will demonstrate how by enlarging a cubical complex by adding cer tain "ideal" elements\,\na combinatorial transverse intersection algebra m odel of a torus can be constructed which does have\ngraded commutativity a nd associativity while the product rule holds for elements of the original complex.\nOne application of this algebra is to create a finite dimension al fluid algebra which can be implemented\nnumerically for approximation t o Euler's equation on a torus.\n\nThis is joint work with Daniel An and De nnis Sullivan.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:206@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240317T143000 DTEND;TZID=Asia/Jerusalem:20240317T153000 DTSTAMP:20250109T093659Z URL:https://math.technion.ac.il/en/events/existence-and-qualitative-proper ties-of-positive-solutions-to-a-class-of-fully-nonlinear-elliptic-equation s/ SUMMARY:Existence and qualitative properties of positive solutions to a cla ss of fully nonlinear elliptic equations DESCRIPTION:Lecturer:David Gonzalez-Stolnicki (Technion)\n Location:\n \n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars END:VEVENT BEGIN:VEVENT UID:210@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240319T133000 DTEND;TZID=Asia/Jerusalem:20240319T143000 DTSTAMP:20250109T093659Z URL:https://math.technion.ac.il/en/events/recovering-evolutionary-trees-vi a-spectral-graph-theory/ SUMMARY:Recovering evolutionary trees via spectral graph theory DESCRIPTION:Lecturer:Ariel Jaffe\n Location:Amado 814\n Recovering a tree m odel that accurately represents the developmental process of high-dimensio nal data is a key challenge in multiple domains. A common setting is the l atent tree model\, where the task is to infer the tree structure given onl y observations of its terminal nodes. For example\, in phylogenetics\, the evolutionary history of a set of organisms is inferred by their nucleotid e or protein sequences.\n\nIn our work\, we incorporate results from spect ral graph theory to develop novel methods for recovering latent tree model s. We show that the tree structure is strongly related to the spectral pro perties of a fully connected graph defined over the terminal nodes of the tree. This relation forms the theoretical basis of two new methods: (i) sp ectral neighbor-joining\, where subsets of nodes are iteratively merged to form the full tree\, and (ii) spectral top-down recovery\, where the term inal nodes are iteratively partitioned into smaller subsets. Comparing our approach to several competing methods\, we show that in many settings\, s pectral methods have stronger theoretical guarantees and work better in pr actice.\n\n \;\n\nThe talk is based on the following two papers:\n\n "Spectral neighbor joining for reconstruction of latent tree models"\, A J affe\, N Amsel\, Y Aizenbud\, B Nadler\, JT Chang\, Y Kluger\nSIAM journal on mathematics of data science (2021)\n\n \;\n\n "Spectral top-down recovery of latent tree models"\, Y Aizenbud\, A Jaffe\, M Wang\, A Hu\, N Amsel\, B Nadler\, JT Chang\, Yuval Kluger\n\nInformation and Inference: A Journal of the IMA (2023)\n\n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:209@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240320T103000 DTEND;TZID=Asia/Jerusalem:20240320T113000 DTSTAMP:20250109T093659Z URL:https://math.technion.ac.il/en/events/the-space-of-traces-of-certain-d iscrete-groups/ SUMMARY:The space of traces of certain discrete groups DESCRIPTION:Lecturer:Raz Slutzky (Weizmann Institute)\n Location:Amado 814\ n A trace on a group is a positive-definite conjugation-invariant function on it. These traces correspond to tracial states on the group's maximal C *-algebra. In the past couple of decades\, the study of traces has led to exciting connections to the rigidity\, stability\, and dynamics of groups. In this talk\, I will explain these connections and focus on the topologi cal structure of the space of traces of some groups and see the different behaviors of these spaces for free groups vs. higher-rank lattices. Finall y\, we will see some applications to character limits of finite groups.\n\ nThis is based on joint works with Arie Levit\, Joav Orovitz and Itamar Vi gdorovich.\n https://us02web.zoom.us/j/89193473512 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:177@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240320T143000 DTEND;TZID=Asia/Jerusalem:20240320T152000 DTSTAMP:20250109T093659Z URL:https://math.technion.ac.il/en/events/sahar-diskin/ SUMMARY:Sahar Diskin (Tel Aviv) -- Percolation through isoperimetry DESCRIPTION:Lecturer:Sahar Diskin\n Location:814 Amado\n Let G be a d-regul ar graph of growing degree on n vertices. Form a random subgraph G_p of G by retaining each edge independently with probability p=p(d). Which condit ions suffice to observe a phase transition at p=1/d\, similar to that in t he binomial random graph G(n\,p)?\n\nWe argue that in the supercritical re gime p=(1+epsilon)/d\, epsilon>\;0 a small constant\, it suffices that e very subset S of G of at most n/2 vertices has edge-boundary of size at le ast C|S|\, for some large enough constant C=C(epsilon)>\;0\, to guarante e the likely appearance of the giant component in G_p. Moreover\, its asym ptotic order is equal to that in the random graph G(n\,(1+epsilon)/n)\, an d all other components are typically much smaller.\n\nWe further give exam ples demonstrating the tightness of this result in several key senses.\n\n Joint work with Joshua Erde\, Mihyun Kang\, and Michael Krivelevich.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:211@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240320T173000 DTEND;TZID=Asia/Jerusalem:20240320T183000 DTSTAMP:20250109T093659Z URL:https://math.technion.ac.il/en/events/%d7%91%d7%a2%d7%99%d7%99%d7%aa-% d7%94%d7%a7%d7%a8%d7%a9%d7%99%d7%9d-%d7%a9%d7%9c-%d7%98%d7%a8%d7%a1%d7%a7% d7%99/ SUMMARY:בעיית הקרשים של טרסקי DESCRIPTION:Lecturer:לירן רותם (טכניון)\n Location:Amado 232\ n אם יש לנו בור באדמה בצורה (קמורה) כלשהי\, ויש לנו אוסף של קרשים ארוכים שרוחבם מטר א חד\, כמה קרשים נצטרך בשביל לכסות את הבור? קל לדמיין דרך אחת לכסות את הבור\, אבל אולי יש דרכים יעילות יותר? טרסקי שיער בשנת 1932 שהדרך הברורה לכסות את הבור היא גם הדרך הי עילה ביותר. השערה זאת נפתרה לבסוף ב-1951 על ידי מתמטיקאי דני בשם באנג.\n\nבהרצאה זו נצ יג את הפיתרון של באנג שהוא קצר ומפתיע. כמ ו כן נדבר על גירסא קשה יותר של הבעיה\, שנש אלה על ידי באנג ונשארה פתוחה במשך יותר מ-7 0 שנים עד ימינו.\n CATEGORIES:Math Club,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:212@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240321T113000 DTEND;TZID=Asia/Jerusalem:20240321T123000 DTSTAMP:20250109T093659Z URL:https://math.technion.ac.il/en/events/algebraic-groups-over-the-free-g roup/ SUMMARY:Algebraic groups over the free group DESCRIPTION:Lecturer:Chloé Perin (HUJI)\n Location:Amado 719\n When workin g over a group instead of a field\, the analogue of a polynomial is just a word w(x_1\, ...\, x_n) which can involve constants from the group. Follo wing this analogy\, one can study varieties\, and then algebraic groups (v arieties endowed with a group law which can be expressed by such a "polyno mial").\nOver the free group\, varieties are well understood since the wor ks of Makanin-Razborov and later Sela. In a joint work with Guirardel\, we show that there are very few irreducible algebraic groups over the free g roup\, and we describe all such structures. One of the key tools in this w ork is JSJ decomposition of groups\, which enables us to give a descriptio n of automorphisms of the coordinate group of such a variety in terms of a utomorphisms of fundamental groups with boundaries.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:213@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240325T153000 DTEND;TZID=Asia/Jerusalem:20240325T163000 DTSTAMP:20250109T093659Z URL:https://math.technion.ac.il/en/events/birational-maps-to-grassmannians -representations-and-poset-polytopes/ SUMMARY:“Birational maps to Grassmannians\, representations and poset pol ytopes.” DESCRIPTION:Lecturer:Evgeny Feigin (Tel Aviv University)\n Location:Amado 2 32\n Abstract:  Integer points in the FFLV polytopes are responsible for the monomial bases in representations of the special linear Lie algebras. The polytopes can be identified with certain chain polytopes and have to d o with the geometry of the classical Grassmann varieties. We will recall t he setup and show that the above mentioned results admit a lift to the clo sures of the graphs of the birational maps from projective spaces to Grass mannians.\n\n \n https://technion.zoom.us/j/95358752470 CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:215@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240327T123000 DTEND;TZID=Asia/Jerusalem:20240327T133000 DTSTAMP:20250109T093700Z URL:https://math.technion.ac.il/en/events/mean-curvature-flow-and-applicat ions/ SUMMARY:Mean curvature Flow and Applications DESCRIPTION:Lecturer:Daniel Goldberg (Technion)\n Location:Faculty Lounge 8 th floor Amado\n A Hypersurface moving so as to decrease its area in the m ost efficient way possible (in the L^2 norm) is said to evolve by Mean Cur vature Flow. The Mean Curvature Flow is considered by many to be the most natural equation in extrinsic geometry as it is the L^2 gradient flow of t he area functional. In this talk we will introduce the Mean Curvature flow by first deriving it as a gradient flow. Subsequently\, we will present i ts basic properties including short time well-posedness\, maximum principl e\, and some geometric attributes. Finally\, we will show applications of the Mean    Curvature Flow to material science and image processing. j\n CATEGORIES:Pizza Seminar,Seminars LOCATION:Faculty Lounge 8th floor Amado END:VEVENT BEGIN:VEVENT UID:193@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240327T143000 DTEND;TZID=Asia/Jerusalem:20240327T152000 DTSTAMP:20250109T093700Z URL:https://math.technion.ac.il/en/events/michael-chapman/ SUMMARY:Michael Chapman -- Proper subgroup testing DESCRIPTION:Lecturer:Michael Chapman\n Location:814 Amado\n Property testin g algorithms are designed to extract global properties of the input object by sampling it locally. In this talk we discuss the following problem: De sign a proper subgroup tester\, namely\, one that is given a subgroup H of a group G as input and needs to decide whether H=G or not. To that end\, we first translate the problem into a purely combinatorial group theory on e\, which can be shown to be a non-commutative counterpart of error correc ting codes. We then use the standard theory of error correcting codes as i nspiration\, and provide several solutions to this problem with various pa rameters.\n\nThis talk is based on a joint work with Irit Dinur and Alex L ubotzky.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:216@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240328T113000 DTEND;TZID=Asia/Jerusalem:20240328T123000 DTSTAMP:20250109T093700Z URL:https://math.technion.ac.il/en/events/confined-subgroups-and-irreducib le-lattices/ SUMMARY:Confined subgroups and irreducible lattices DESCRIPTION:Lecturer:Arie Levit (TAU)\n Location:\n A subgroup H <\; G is called confined if there is a compact subset K of G such that every con jugate of H intersects K at some point other than identity. We prove that every confined subgroup of an irreducible lattice in a higher rank sem isimple Lie group has finite index. Since a non-trivial normal subgroup is  confined\, our result extends the Margulis normal subgroup theorem. We d o not rely on Kazhdan’s property (T)\, and instead obtain spectral gap f rom a product structure. More generally\, we show that any confined disc rete subgroup of a higher rank semisimple Lie group satisfying a certain i rreducibility condition is a lattice. This extends the recent work of Frac zyk and Gelander\, removing the property (T) assumption. Joint work with U ri Bader and Tsachik Gelander.\n CATEGORIES:Geometry and Topology Seminar,Seminars END:VEVENT BEGIN:VEVENT UID:214@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240331T143000 DTEND;TZID=Asia/Jerusalem:20240331T153000 DTSTAMP:20250109T093700Z URL:https://math.technion.ac.il/en/events/chaotic-dynamics-in-the-rossler- system/ SUMMARY:Chaotic Dynamics in the Rössler System DESCRIPTION:Lecturer:Eran Igra (Technion)\n Location:Amado 814\n Abstract:\ n\nOriginally introduced in 1974 by O.E. Rössler\, the Rössler system is one of the most famous examples of chaotic flows\, being generated by a s tretch-and-fold mechanism. Despite being (arguably) the least non-linear f low one can think of\, the Rössler system is known to be rich in nonline ar phenomena - for example: spiral homoclinic bifurcations\, stability win dows and period-doubling routes to chaos to name a few. In this talk we st ate and prove a topological criterion for the existence of complex dynamic s for the Rössler system\, which include infinitely many periodic trajec tories. Time permitting\, we will characterize the topology of these perio dic trajectories\, prove their persistence under perturbations - as well as discuss their possible bifurcations and how it all relates to the well- known Rössler attractor.\n\n \;\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:220@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240331T143000 DTEND;TZID=Asia/Jerusalem:20240331T153000 DTSTAMP:20250109T093700Z URL:https://math.technion.ac.il/en/events/title-chaotic-dynamics-in-the-ro ssler-system/ SUMMARY:Title - Chaotic dynamics in the Rössler system DESCRIPTION:Lecturer:ערן אגרא \n Location:אמדו 814 \n Originally introduced in 1974 by O.E. Rössler\, the Rössler system is one of the m ost famous examples of chaotic flows\, being generated by a stretch-and-fo ld mechanism. Despite being (arguably) the least non-linear flow one can t hink of\, the Rössler system is known to be rich in nonlinear phenomena - for example: spiral homoclinic bifurcations\, stability windows and peri od-doubling routes to chaos to name a few. In this talk we state and prove a topological criterion for the existence of complex dynamics for the Rö ssler system\, which include infinitely many periodic trajectories. Time permitting\, we will characterize the topology of these periodic trajector ies\, prove their persistence under perturbations - as well as discuss th eir possible bifurcations and how it all relates to the well-known Rössle r attractor. \n \;\nמנחה: ד"ר טלי פינסקי\n \n \n CATEGORIES:Graduation Seminars,Seminars LOCATION:אמדו 814 END:VEVENT BEGIN:VEVENT UID:221@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240402T103000 DTEND;TZID=Asia/Jerusalem:20240402T113000 DTSTAMP:20250109T093700Z URL:https://math.technion.ac.il/en/events/stochastic-differential-equation s-involving-the-local-time-of-the-unknown-process-driven-by-stable/ SUMMARY:Stochastic Differential Equations Involving the Local Time of the U nknown Process Driven by Stable DESCRIPTION:Lecturer:Johanna Weinberger (Technion)\n Location:Meyer buildin g (electrical engeneering)\, room 861\n We consider singular SDEs driven b y symmetric stable processes and with measure valued drift in a Kato class . Since the drift may be a measure which is not absolutely continuous one needs to find a rigorous definition of solutions. This can\, for instance\ , be achieved by employing an approximation scheme [Kim &\; Song\, '14] . We show that we can equivalently reformulate the drift term in terms of the local time of the unknown process. To this end\, we derive a  Tanaka- type formula for symmetric stable processes that are perturbed by an adapt ed\, right-continuous processes of finite variation. Finally\, we discuss weak and strong existence and uniqueness of solutions.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:219@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240402T133000 DTEND;TZID=Asia/Jerusalem:20240402T143000 DTSTAMP:20250109T093700Z URL:https://math.technion.ac.il/en/events/on-landis-conjecture-for-schrodi nger-operators-on-graphs/ SUMMARY:On Landis conjecture for Schrödinger operators on graphs DESCRIPTION:Lecturer:Matthias Keller\n Location:Amado 814\n Landis conjectu re is concerned with growth bounds for harmonic functions of Schrödinger operators whose potential in absolute value is bounded by one. We study th is problem for real potentials on general graphs and in the Euclidean latt ice in particular. (This is joint work with Ujjal Das and Yehuda Pinchover .)\n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:224@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240403T143000 DTEND;TZID=Asia/Jerusalem:20240403T153000 DTSTAMP:20250109T093740Z URL:https://math.technion.ac.il/en/events/boolean-functions-on-some-permut ation-groups-graduation-seminar/ SUMMARY:Boolean functions on some permutation groups- Graduation Seminar DESCRIPTION:Lecturer:יהונתן שפיגלמן \n Location:אמאדו 814 \n Abstract Attached\nAdvisor - Prof. Yuval Filmus\n\n \;\n CATEGORIES:Graduation Seminars,Seminars LOCATION:אמאדו 814 END:VEVENT BEGIN:VEVENT UID:178@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240403T143000 DTEND;TZID=Asia/Jerusalem:20240403T152000 DTSTAMP:20250109T093740Z URL:https://math.technion.ac.il/en/events/johnathan-spiegelman/ SUMMARY:Johnathan Spiegelman (Technion) -- Degree one boolean functions on some permutation groups. DESCRIPTION:Lecturer:Johnathan Spiegelman \n Location:814 Amado\n Boolean f unctions in their original setting are functions f:{0\,1}^n ->\; {0\,1}. These functions are well studied.\nIn recent years\, researchers have tri ed to widen the scope and investigate boolean functions on various finite mathematical objects\, for example\, the Johnson Graph J(n\,k)\, the Grass man Graph Jq(n\,k)\, the Multislice M(k1\,...\,km)\, the Symmetric Group S _n\, the Perfect Matching Scheme M_2n.\n\nIn all these cases\, some theore ms classify degree 1 functions on them. Moreover\, for some of them we kno w that degree 1 functions are exactly the dictators\, which are functions that depend on exactly 1 coordinate. This is also the case for the hypercu be {0\,1}^n on which boolean degree 1 functions are exactly the dictator f unctions 1\, 0\, x_i\, 1-x_i.\n\nWe investigate boolean functions on the A lternating Group A_n and the Generalized Symmetric Group S(m\,n)=Z_m \\wr S_n\, and in particular the Hyperoctheadral Group B_n = S(2\,n). We prove that except for some anomaly in A_4\, degree 1 boolean functions on them a re also exactly the dictators.\n\nJoint work with Yuval Filmus.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:178@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240403T143000 DTEND;TZID=Asia/Jerusalem:20240403T152000 DTSTAMP:20250109T093740Z URL:https://math.technion.ac.il/en/events/johnathan-spiegelman/ SUMMARY:Johnathan Spiegelman (Technion) -- Degree one boolean functions on some permutation groups. DESCRIPTION:Lecturer:Johnathan Spiegelman \n Location:814 Amado\n Boolean f unctions in their original setting are functions f:{0\,1}^n ->\; {0\,1}. These functions are well studied.\nIn recent years\, researchers have tri ed to widen the scope and investigate boolean functions on various finite mathematical objects\, for example\, the Johnson Graph J(n\,k)\, the Grass man Graph Jq(n\,k)\, the Multislice M(k1\,...\,km)\, the Symmetric Group S _n\, the Perfect Matching Scheme M_2n.\n\nIn all these cases\, some theore ms classify degree 1 functions on them. Moreover\, for some of them we kno w that degree 1 functions are exactly the dictators\, which are functions that depend on exactly 1 coordinate. This is also the case for the hypercu be {0\,1}^n on which boolean degree 1 functions are exactly the dictator f unctions 1\, 0\, x_i\, 1-x_i.\n\nWe investigate boolean functions on the A lternating Group A_n and the Generalized Symmetric Group S(m\,n)=Z_m \\wr S_n\, and in particular the Hyperoctheadral Group B_n = S(2\,n). We prove that except for some anomaly in A_4\, degree 1 boolean functions on them a re also exactly the dictators.\n\nJoint work with Yuval Filmus.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:222@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240403T173000 DTEND;TZID=Asia/Jerusalem:20240403T183000 DTSTAMP:20250109T093740Z URL:https://math.technion.ac.il/en/events/%d7%97%d7%91%d7%95%d7%a8%d7%95%d 7%aa-%d7%95%d7%92%d7%99%d7%90%d7%9e%d7%98%d7%a8%d7%99%d7%94/ SUMMARY:חבורות וגיאמטריה DESCRIPTION:Lecturer:מיכה שגיב (טכניון)\n Location:Amado 232\ n בשנות השמונים חולל מיכאל גרומוב שינוי ד רמטי בתפיסת העולם בתורת החבורות על ידי ה כנסת כלים גאומטריים חדשים לתמונה. נדבר ע ל המהפכה הזו ועל הדרך נתאר כמה תוצאות מענ יינות שבאו בעקבותיה.\n CATEGORIES:Math Club,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:218@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240404T113000 DTEND;TZID=Asia/Jerusalem:20240404T123000 DTSTAMP:20250109T093740Z URL:https://math.technion.ac.il/en/events/random-walks-on-affine-buildings -of-type-a2tilde/ SUMMARY:Random walks on affine buildings of type A2tilde. DESCRIPTION:Lecturer:Corentin Le Bars (Weizmann)\n Location:Amado 719\n Let G be a group acting on a separable building X of type A2tilde and let Zn be a random walk on the group G\, generated by an admissible measure mu. T he purpose of the talk is to investigate some properties of the measured d ynamical system Zn.o\, for o a vertex of the building X. Using tools from boundary theory and the geometry of such buildings\, we can prove that the re exists a unique mu-stationary measure supported on the chambers of the spherical building at infinity. If time allows it\, we will discuss some a pplications about the asymptotic properties of the random walk Zn.o. I wil l try to introduce most notions: (affine) buildings and their boundaries\, random walks and stationary measures\, the Poisson-Furstenberg boundary a nd some of its ergodic properties.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:227@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240418T113000 DTEND;TZID=Asia/Jerusalem:20240418T123000 DTSTAMP:20250109T093741Z URL:https://math.technion.ac.il/en/events/hyperbolic-subgroups-of-type-fp_ 2ring/ SUMMARY:Hyperbolic subgroups of type FP_2(Ring) DESCRIPTION:Lecturer:Shaked Bader (Oxford)\n Location:Amado 814\n In 1996 G ersten proved that if G is a word hyperbolic group of cohomological dimens ion 2 and H is a subgroup of type FP_2\, then H is hyperbolic as well. In this talk\, I will present a project with Robert Kropholler and Vlad Vanko v generalising this result to show that the same is true if G is only assu med to have cohomological dimension 2 over some ring R and H is of type FP _2(R) .\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:228@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240512T133000 DTEND;TZID=Asia/Jerusalem:20240512T143000 DTSTAMP:20250109T093741Z URL:https://math.technion.ac.il/en/events/monotonicity-of-gaussian-measure -under-banaszczyk-transforms/ SUMMARY:Monotonicity of gaussian measure under Banaszczyk transforms DESCRIPTION:Lecturer:Maud Szusterman (Tel Aviv University)\n Location:Amado 814\n Abstract:\nBanaszczyk proved (1998) that given a convex body K with gaussian measure p ≥1/2 and given an arbitrary sequence of vectors from the unit ball\, one can balance the sum of these vectors so that it lies in 5K. The proof relies on the monotonicity of the gaussian measure of con vex bodies under a certain transform (known as Banaszczyk's transform). In this talk\, we provide a new\, simpler proof of this monotonicity\, relyi ng on a reduction to half-planes. We also show that monotonicity holds for arbitrary convex bodies\, at the cost of a doubly exponential rescaling n ear p=0. Our results indicate a negative answer to a strong form of a vect or balancing conjecture due to Banaszczyk and Szarek. This is joint work w ith P. Nayar.\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:231@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240515T143000 DTEND;TZID=Asia/Jerusalem:20240515T152000 DTSTAMP:20250109T093741Z URL:https://math.technion.ac.il/en/events/omer-moyal/ SUMMARY:Omer Moyal (Technion) -- Topology of random two-dimensional posets DESCRIPTION:Lecturer:Omer Moyal\n Location:814 Amado\n Random simplicial co mplexes are one generalization of random graphs. In this seminar\, we will consider the model of 'permutations complexes'\, a simplicial complex obt ained from random permutations. More precisely\, let \\pi be a permutation of length n. Our model is the order complex of the partial order induced by \\pi on the set [n].\nWe will discuss various topological properties of this complex\, including homological dimension and homotopy type. Our mai n result is that w.h.p. the complex is r-connected for r=log(n)/loglog(n). We will also show that the complex contains an octahedral sphere of dimen sion c\\sqrt(n)\, and give an upper bound and a new lower bound on c.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:229@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240515T143000 DTEND;TZID=Asia/Jerusalem:20240515T153000 DTSTAMP:20250109T093741Z URL:https://math.technion.ac.il/en/events/topology-of-random-two-dimension al-posets-graduation-seminar/ SUMMARY:Topology of random two-dimensional posets - Graduation Seminar DESCRIPTION:Lecturer:עומר מויאל \n Location:814 אמאדו\n Rando m simplicial complexes are one generalization of random graphs. In this se minar we will consider the model of 'permutations complexes'\, a simplicia l complex obtained from a random permutations. More precisely\, let \\pi b e a permutation of length n. Our model is the order complex of the partial order induced by \\pi on the set [n].\nWe will discuss various topologica l properties of this complex\, including homological dimension and homotop y type. Our main result is that w.h.p. the complex is r-connected for r=lo g(n)/loglog(n) . We will also show that the complex contains an octahedral sphere of dimension c\\sqrt(n)\, and give an upper bound and a new lower bound on c.\n CATEGORIES:Graduation Seminars,Seminars LOCATION:814 אמאדו END:VEVENT BEGIN:VEVENT UID:236@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240520T123000 DTEND;TZID=Asia/Jerusalem:20240520T133000 DTSTAMP:20250109T093741Z URL:https://math.technion.ac.il/en/events/diophantine-approximation-formal -laurent-series-and-hankel-matrices-graduation-seminar/ SUMMARY:Diophantine approximation\, formal Laurent series and Hankel Matric es - Graduation Seminar DESCRIPTION:Lecturer:Matan Ivgi\n Location:Amado 814\n Diophantine approxim ation in function fields gives rise to many combinatorial questions. One i nteresting question is the computation of the Hausdorff dimension of the s et of badly approximable formal Laurent series. Those series are tightly c onnected to Hankel matrices with specific properties. I will talk about th is connection and how I used it in order to solve this question.\n\nAdviso r: Erez Nesharim\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:235@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240520T123000 DTEND;TZID=Asia/Jerusalem:20240520T133000 DTSTAMP:20250109T093741Z URL:https://math.technion.ac.il/en/events/diophantine-approximation-formal -laurent-series-and-hankel-matrices/ SUMMARY:Diophantine approximation\, formal Laurent series and Hankel Matric es DESCRIPTION:Lecturer:Matan Ivgi (Technion)\n Location:Amado 814\n Diophanti ne approximation in function fields gives rise to many combinatorial quest ions. One interesting question is the computation of the Hausdorff dimensi on of the set of badly approximable formal Laurent series. Those series ar e tightly connected to Hankel matrices with specific properties. I will ta lk about this connection and how I used it in order to solve this question .\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:238@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240521T120000 DTEND;TZID=Asia/Jerusalem:20240521T130000 DTSTAMP:20250109T093741Z URL:https://math.technion.ac.il/en/events/connectedness-of-random-simplici al-complexes-based-on-steiner-systems-graduation-seminar/ SUMMARY:Connectedness of Random Simplicial Complexes Based on Steiner Syste ms - Graduation Seminar DESCRIPTION:Lecturer:Alexander Shleyfman\n Location:Amad0 719 \n The $\\mat hcal{I}(n\, k)$ is a generative model of random almost $k$-regular graphs\ , where graphs are constructed  from $k$ randomly permuted perfect matchi ngs on the vertex set $[n]$. We show that the likelihood of a graph $G$ dr awn from $ \\mathcal{I}(n\, k)$ being disconnected is bounded by $O(n^{-k+ 2})$.\n\nBased on this observation\, we establish a threshold property for hypergraph connectedness within almost $k$-regular $d$-dimensional comple xes\, as introduced by Abu-Fraiha (2016). Specifically\, these complexes a re almost surely hypergraph connected when $k >\; d+1$\, while the proba bility of disconnection decreases with $k$ for $k \\leq d$.\n\nAdditionall y\, we demonstrate that for random 2-dimensional simplicial complexes (the model for general $d$ was introduced by Lubotzky\, Luria\, and Rosenthal (2019))\, where the 1-cells are bounded by a degree of $k$\, the complex i s almost surely homologically connected over $\\mathbb{Z}_2$ when $k=371$. \n\nAdvisor: Prof. Roy Meshulam\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amad0 719 END:VEVENT BEGIN:VEVENT UID:240@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240527T123000 DTEND;TZID=Asia/Jerusalem:20240527T133000 DTSTAMP:20250109T093742Z URL:https://math.technion.ac.il/en/events/approximation-to-one-real-number -revisited/ SUMMARY:Approximation to one real number revisited DESCRIPTION:Lecturer:Nikolay Moshchevitin (TUW)\n Location:Amado 814\n We w ill discuss various types of approximations to one real number by rational s. We describe different irrationality measure functions and the related D iophantine spectra\, such as Dirichlet spectrum\, spectra for the second b est approximations\, Minkowski’s spectrum and resent results on the topi c. Surprisingly there are unsolved problems related to some of these objec ts and for some of them there is no ideas how to solve them. At the end we will say a few words about multidimensional generalisations.\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:241@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240528T133000 DTEND;TZID=Asia/Jerusalem:20240528T143000 DTSTAMP:20250109T093742Z URL:https://math.technion.ac.il/en/events/oscillation-and-asymptotic-prope rties-of-second-order-delay-equations-new-trends/ SUMMARY:Oscillation and Asymptotic Properties of Second Order Delay Equatio ns: New Trends DESCRIPTION:Lecturer:Alexander Domoshnitsky\, Ariel University\n Location:A mado 819\n \n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 819 END:VEVENT BEGIN:VEVENT UID:234@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240529T143000 DTEND;TZID=Asia/Jerusalem:20240529T152000 DTSTAMP:20250109T093742Z URL:https://math.technion.ac.il/en/events/omri-marcus/ SUMMARY:Omri Marcus (Bar Ilan) -- Intersection problems with a symmetry con dition DESCRIPTION:Lecturer:Omri Marcus \n Location:814 Amado\n A set-intersecting family is a family of subsets of [n] = {1\, ...\, n}\, such that each pai r of sets in the family has a non-empty intersection. It is clear that an intersecting family cannot include more than 1/2 of all the subsets of [n] . Natural tightness examples are the dictatorship families - the families of all sets that contain a fixed element. One may try to add a condition o f symmetry in order to eliminate these degenerate examples and to achieve a smaller bound\, but without success: the family {S \\subseteq [n] | |S| >\; n/2} is set-intersecting\, symmetric in any reasonable sense\, and y et contains half of all the subsets of [n] when n is odd.\nWe are interest ed in a variant of the above problem proposed by T. Brown and answered by M. L. Livingston in 1997: A family of vectors F \\subset [k]^n is intersec ting if for every x\, y in F\, there exists a coordinate i in [n] such tha t x_i = y_i. What are the largest intersecting families of vectors? Living ston proved that for k >\; 2\, any largest such family is of the form {x in [k]^n | x_i = b} for some i in [n] and b in [k]\, and thus\, it contai ns 1/k of all elements.\nIn 2019\, Eberhard et al. showed that for symmetr ic families a much smaller bound of e^{-c log n / k} can be achieved. Insp ired by their work\, we present a sharper bound of e^{-c k / log n} for al l 2 log n <\; k <\; sqrt{n} \\log n (namely\, an improvement of a fact or of (k / log n)^2 in the exponent).\nWhile our results are combinatorial \, the tools are analytic. We reduce the problem into the field of Analysi s of Boolean Functions\, and use methods from this field\, such as the noi se operator and its spectral decomposition\, and globalness properties of Boolean functions.\nJoint work with Nathan Keller and Noam Lifshitz.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:237@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240602T143000 DTEND;TZID=Asia/Jerusalem:20240602T153000 DTSTAMP:20250109T093742Z URL:https://math.technion.ac.il/en/events/the-isoperimetric-problem-in-irr eversible-finsler-manifolds/ SUMMARY:The isoperimetric problem in irreversible Finsler manifolds DESCRIPTION:Lecturer:Davide Manini (Technion)\n Location:Amado 814\n Abstra ct:\nThe isoperimetric problem in spaces (both smooth and non-smooth) with a\ncertain lower bound on the Ricci curvature has been solved in increasi ng\ngenerality with different approaches\, in both the compact and\nnon-co mpact setting.  In the non-compact setting\, the classical\nisoperimetric inequality was generalized to the class of manifolds with\nnon-negative R icci curvature\, coupled with a constraint on the volume\ngrowth of large balls (the Euclidean volume growth).  The equality case\nwas characterize d as well.\n\nThe irreversibilty of Finsler manifold (i.e.\, the fact that the induced\ndistance is not symmetric) severely harms the isoperimetric problem:\nmost well-known isoperimetric inequalities valid for Riemannian\ nmanifolds do not have an analogous counterpart for irreversible Finsler\n manifolds\, or their counterpart is not sharp.  The characterization of\n the equality case is far from being reached.\n\nIn this talk\, I will pres ent a sharp isoperimetric inequality for\npossibly irreversible Finsler ma nifolds with non-negative Ricci\ncurvature\, having Euclidean volume growt h.  I will also characterize the\nequality case and present an applicatio n to the weighted anisotropic\n\nisoperimetric problem in Euclidean cones. \n\n \;\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:247@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240604T133000 DTEND;TZID=Asia/Jerusalem:20240604T143000 DTSTAMP:20250109T093742Z URL:https://math.technion.ac.il/en/events/regularity-theory-and-fully-nonl inear-free-boundary-problems/ SUMMARY:Regularity theory and fully nonlinear free boundary problems DESCRIPTION:Lecturer:David Stolnicki\n Location:Amado 814\n Our study delve s into the existence and regularity of  transmission problems represented by the equation $\\sigma_i (|Du|) F(D^2u)=f$\, concerning regions where $ u >\; 0$ and $u <\; 0$. This work solves  the question on existence o f solutions for the problem by utilizing a comparison principle for an aux iliary problem and Perron's Method.  Furthermore\, we establish\n$C^1$ re gularity estimates for the interior as a subsequent step in our analysis.\ n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:244@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240605T123000 DTEND;TZID=Asia/Jerusalem:20240605T133000 DTSTAMP:20250109T093742Z URL:https://math.technion.ac.il/events/%d7%97%d7%99%d7%91%d7%95%d7%a8-%d7% 91%d7%9e%d7%90%d7%95%d7%a0%d7%9a-%d7%95%d7%a7%d7%95%d7%94%d7%95%d7%9e%d7%9 5%d7%9c%d7%95%d7%92%d7%99%d7%94/ SUMMARY:חיבור במאונך וקוהומולוגיה DESCRIPTION:Lecturer:ים פלזנשטיין (אונ׳ פנסילבניה)\ n Location:Amado 232\n \nנאיר את התכונות האלגבריות של חיבור במאונך באור חדש\, ולאורך הדרך נח קור את בעיית ההרחבה בחבורות\, ומה בכלל הק שר של כל זה לקוהומולוגיה.\n\n\n CATEGORIES:Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:232@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240605T143000 DTEND;TZID=Asia/Jerusalem:20240605T152000 DTSTAMP:20250109T093742Z URL:https://math.technion.ac.il/en/events/sagi-snir/ SUMMARY:Sagi Snir (Haifa) -- Bacterial Genome Dynamics: A Random Walk Appro ach DESCRIPTION:Lecturer:Sagi Snir\n Location:814 Amado\n The dramatic decrease in time and cost for generating genetic sequence data has opened up vast opportunities in molecular systematics\, one of which is the ability to de cipher the evolutionary history of strains of a species. Under this fine s ystematic resolution\, the standard markers are often too crude to provide a reliable phylogenetic signal. Nevertheless\, among prokaryotes\, genome dynamics (GD) in the form of horizontal gene transfer (HGT)\, the transfe r of genetic material between organisms not through lineal descent\, seem to provide far richer information by affecting both gene order and gene co ntent. To the best of our knowledge\, no rigorous statistical modelling fo r GD has been suggested.\n\nHere we provide a first statistical\, two-leve l modeling and analysis\, for GD under a very simple operation – the Jum p operation. Under this framework\, at the higher level\, genome evolution is modeled as a random walk in the genome permutation state space. At the lower level\, gene neighborhood is modeled as a birth–death–immigrati on process affected by the genes jumping across the genome. Using this mod eling we can infer several innate properties for genomes evolving along a tree and analytically relate the HGT rate and time to the expected random variables that we define.\n\nBesides analytical results\, we will also sho w results on real data conforming with existing biological knowledge.\n\nT he talk assumes no background in Biology.\n\n \;\n\nRelated Papers\n\n 1) Katriel G.\, Mahanaymi U.\, Koutschan C.\, Zeilberger D.\, Steel M. and Snir S. 2023. Gene Transfer-based Phylogenetics: Analytical Expressions a nd Additivity via Birth–Death Theory\, Accepted at Systematic Biology. A preliminary version is available at bioarxiv\n2) Sevillya\, G.\, D. Doerr \, Y. Lerner\, J. Stoye\, M. Steel\, and S. Snir. 2019. Horizontal Gene Tr ansfer Phylogenetics: A Random Walk Approach. Molecular Biology and Evolut ion (MBE)37:1470–1479.\n3) Shifman\, A.\, N. Ninyo\, U. Gophna\, and S. Snir. 2013. Phylo si: a new genome-wide approach for prokaryotic phylogeny . Nucleic acids research (NAR)42:2391–2404.\n\n \;\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:243@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240606T113000 DTEND;TZID=Asia/Jerusalem:20240606T123000 DTSTAMP:20250109T093742Z URL:https://math.technion.ac.il/en/events/new-simple-lattices-in-products- of-davis-complexes/ SUMMARY:New simple lattices in products of Davis complexes DESCRIPTION:Lecturer:Michal Amir (Technion)\n Location:Amado 814\n Burger & amp\; Mozes constructed simple groups which act geometrically on products of regular trees. In this talk I will present new examples of simple group s which act geometrically on products of a regular tree and two-dimensiona l Davis complexes.\nJoint work with Nir Lazarovich.\n CATEGORIES:Geometry and Topology Seminar,Graduation Seminars,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:245@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240606T123000 DTEND;TZID=Asia/Jerusalem:20240606T133000 DTSTAMP:20250109T093743Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-equidi stribution-of-cm-points/ SUMMARY:Cable Car Algebra Seminar: Equidistribution of CM points DESCRIPTION:Lecturer:Francesco Maria Saettone (BGU)\n Location:Technion\, A mado Building\, Room 814\n Equidistribution of "special" points is a theme of both analytic and geometric interest in number theory: in this talk I plan to deal with the case of CM points on Shimura curves. The first part will be devoted to a geometric description of the aforementioned curves an d of their moduli interpretation. Subsequently\, I plan to sketch an equid istribution result of reduction of CM points in the special fiber of a Shi mura curve associated to a ramified quaternion algebra. Time permitting\, I will mention how Ratner's theorem and subconvexity bounds on Fourier coe fficients of certain theta series can be used to obtain two different equi distribution results.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:246@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240606T134000 DTEND;TZID=Asia/Jerusalem:20240606T144000 DTSTAMP:20250109T093743Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-genera lized-kummer-surfaces-over-finite-fields/ SUMMARY:Cable Car Algebra Seminar: Generalized Kummer surfaces over finite fields. DESCRIPTION:Lecturer:Sergey Rybakov (IITP)\n Location:Technion\, Amado Buil ding\, Room 814\n  We classify finite groups that act on abelian surfaces over a given finite field such that the quotient is birationally equivale nt to a K3 surface. This is a refinement of the classical result due to Ka tsura. As a application we study traces of Frobenius for suprsingular K3 s urfaces over finite fields.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:250@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240612T100000 DTEND;TZID=Asia/Jerusalem:20240612T110000 DTSTAMP:20250109T093743Z URL:https://math.technion.ac.il/en/events/geometric-properties-of-harmonic -and-quasiregular-mappings-graduation-seminar/ SUMMARY:Geometric Properties of Harmonic and Quasiregular Mappings - Gradua tion Seminar DESCRIPTION:Lecturer:Jie Huang\n Location:ZOOM\n Harmonic and quasiregular mappings are the generalization of conformal mappings and analytic functio ns in the plane. It is natural to extend the theories of analytic function s and conformal mappings to harmonic and quasiregular cases. In this thesi s\, we consider questions of their geometry properties and boundary behavi or.\n\nFor the first part\, we study the univalency of linear combinations of two harmonic quasiregular mappings with fixed analytic functions which are $M$-linearly connected. In addition\, we consider the relation of bi- Lipschitz of the linear combinations and the fixed function.\n\nFor the se cond part\, we generalize the Lipschiz property of the analytic Bloch func tion under the pseudo-hyperbolic metric to consider the harmonic Bloch and harmonic Bloch-type cases.\n\nFor the third part\, we consider the bounda ry Schwarz lemma for harmonic mappings having zero of order $p$.\n\nFor th e fourth part\, we investigate Lindel\\"{o}f and Koebe type boundary behav ior results for bounded quasiregular mappings in $n$-dimensional Euclidean spaces. Furthermore\, the existence of non-tangential limits at a boundar y point is considered.\n\nFor the last part\, we use different methods to study the uniqueness of harmonic mappings obtained by the construction of Sheil-Small\, and give the proof of a special case.\n\n \;\n\n\n\nMain Advisor\nAssociate Professor Anti Hermanni Rasila\n\n\nAssociate Advisor\ nProfessor Emeritus Bshouty Daoud\n\n\n\n https://gtiit.zoom.us/j/98269133 489?pwd=xciDTCBDbGmZDjznIAoOSsaf8k0TmW.1 CATEGORIES:Graduation Seminars,Seminars LOCATION:ZOOM END:VEVENT BEGIN:VEVENT UID:252@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240618T113000 DTEND;TZID=Asia/Jerusalem:20240618T123000 DTSTAMP:20250109T093743Z URL:https://math.technion.ac.il/en/events/chemical-distance-for-the-level- sets-of-the-gaussian-free-field-graduation-seminar/ SUMMARY:Chemical Distance for the Level Sets of the Gaussian Free Field - G raduation Seminar DESCRIPTION:Lecturer:Tal Peretz\n Location:Meyer building\, room 861\n Advi sor: Associate Prof. Ron Rosenthal \n CATEGORIES:Graduation Seminars,Probability Seminar,Seminars LOCATION:Meyer building\, room 861 END:VEVENT BEGIN:VEVENT UID:251@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240618T113000 DTEND;TZID=Asia/Jerusalem:20240618T123000 DTSTAMP:20250109T093743Z URL:https://math.technion.ac.il/en/events/chemical-distance-for-the-level- sets-of-the-gaussian-free-field/ SUMMARY:Chemical Distance for the Level Sets of the Gaussian Free Field DESCRIPTION:Lecturer:Tal Peretz\n Location:\n Consider the Gaussian free fi e\\\n CATEGORIES:Graduation Seminars,Probability Seminar,Seminars END:VEVENT BEGIN:VEVENT UID:242@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240618T133000 DTEND;TZID=Asia/Jerusalem:20240618T141500 DTSTAMP:20250109T093743Z URL:https://math.technion.ac.il/en/events/network-modeling-of-porous-media -transport/ SUMMARY:Network modeling of porous media transport DESCRIPTION:Lecturer:Lou Kondic\, New Jersey Institute of Technology\n Loca tion:Amado 814\n \n\n\nWe model porous medium as a random pore network and focus on the influence of the medium internal structure on its flow and a dsorptive behavior\, see Figure 1.  A particular focus is modeling suspe nsion flow\, where the particles adsorb on the pore walls.  We first for mulate the governing equations of fluid flow on a general network. Then\, we model adsorption by imposing an advection equation with a sink term on each pore and study the influence of network parameters on the flow and tr ansport\; see the papers below for examples of our recent works. The talk will focus on developing better understanding of the connection between th e topology of the medium (pore network) and the flow properties. The chall enging aspect of understanding and quantifying evolving pore network topol ogy is addressed by using topological methods that allow for simplified ne twork descriptions\, both regarding their static and their dynamic propert ies. For this purpose\, we use tools based on persistent homology. These t ools enable us to connect topology\, transport\, and adsorption as the ess ential step toward designing porous media of desired properties.\n\nRefere nces: Gu\, Kondic\, Cummings\, SIAM J. Appl. Math. 82\, 950 (2022)\; J. Me m. Sci. 657\, 120668 (2022)\; Phys. Rev. Fluids 8\, 044502 (2023)\n\n\n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:254@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240619T133000 DTEND;TZID=Asia/Jerusalem:20240619T143000 DTSTAMP:20250109T093743Z URL:https://math.technion.ac.il/en/events/russian-monsters/ SUMMARY:Russian Monsters DESCRIPTION:Lecturer:Zachary Munro (Technion)\n Location:Faculty Lounge 8th floor Amado\n \nWe'll give an accessible introduction to small-cancellati on theory and discuss some of the early successes of the theory. These inc lude solutions of the word and conjugacy problem for large classes of grou ps\, along with the creation of exotic groups related to the Burnside prob lem. Examples of this latter type include finitely generated infinite tors ion groups\, Tarski monster groups\, Gromov monster groups\, etc.\n\n CATEGORIES:Pizza Seminar,Seminars LOCATION:Faculty Lounge 8th floor Amado END:VEVENT BEGIN:VEVENT UID:233@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240619T143000 DTEND;TZID=Asia/Jerusalem:20240619T152000 DTSTAMP:20250109T093743Z URL:https://math.technion.ac.il/en/events/hilla-schefler/ SUMMARY:Hilla Schefler (Technion) -- Ramsey Theorems for Trees DESCRIPTION:Lecturer:Hilla Schefler \n Location:814 Amado\n Ramsey theory r efers to a growing body of literature showing that\, given a partition of a mathematical structure into classes\, if it is large enough\, it will ad mit a substructure that is regular in some sense. Quantifying what "large enough" means is usually very challenging\, and many existence results are not accompanied by quantitative bounds on the so-called Ramsey numbers. A pplications of Ramsey theory are not limited to combinatorics and formal l ogic but extend to many areas of both mathematics and theoretical computer science. Recently\, Ramsey theory has been employed in the area of learni ng theory to design attacks on the privacy of learning algorithms in the s etting of binary classification (Alon\, Bun\, Livni\, Malliaris\, and Mora n 2019). To extend their result to more general learning settings\, we dev eloped Ramsey theorems for trees.\n\nIn this talk\, we will discuss some o f the Ramsey-type results we have obtained\, including quantitative bounds for some cases. We will also review previous work in the area\, and brief ly introduce concepts from learning theory and differential privacy that o riginally inspired our work in Ramsey theory.\n\nThis talk is based on joi nt work with Simone Fioravanti\, Steve Hanneke\, Shay Moran\, and Iska Tsu bari.\n\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:262@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240620T113000 DTEND;TZID=Asia/Jerusalem:20240620T123000 DTSTAMP:20250109T093744Z URL:https://math.technion.ac.il/en/events/density-of-growth-rate-of-subgro ups-of-a-free-group/ SUMMARY:Density of growth-rate of subgroups of a free group DESCRIPTION:Lecturer:Gal Yehuda (Yale)\n Location:Amado 919\n We prove the set of growth-rates of subgroups of a rank r free group is dense in [1\,2r -1]. Our main technical contribution is a concentration result for the lea ding eigenvalue of the non-backtracking matrix in the configuration model. Based on a joint work with Michali Louvaris and Dani Wise.\n\n CATEGORIES:Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:249@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240620T143000 DTEND;TZID=Asia/Jerusalem:20240620T153000 DTSTAMP:20250109T093744Z URL:https://math.technion.ac.il/en/events/symplectic-and-kahler-type-embed dings-of-ellipsoids-graduation-seminar/ SUMMARY:Symplectic and Kähler-type embeddings of ellipsoids-Graduation Sem inar DESCRIPTION:Lecturer:Mark Gudiev \n Location:ZOOM\n In their paper "Symplec tic packings and algebraic geometry"\, McDuff and Polterovich showed that the existence of a symplectic embedding of a disjoint union of balls into a symplectic manifold $M$ of the same dimension is equivalent to the exist ence of a symplectic form on the complex blow-up $\\tilde{M}$ of $M$ which lies in a certain cohomological class and satisfies a certain additional property.\n\n \;\n\nOne can consider symplectic embeddings which addit ionally respect some complex structure on $M$. A symplectic embedding is c alled Kähler-type if it is holomorphic with respect to some integrable co mplex structure compatible with the symplectic form. Recently Entov and Ve rbitsky studied properties of the space of Kähler-type embeddings and pro ved a similar criterion for the existence of such embeddings using techniq ues of complex geometry.\n\n \;\n\nIn my talk I will present generaliz ations of these results to the case of symplectic and Kähler-type embeddi ngs of disjoint unions of ellipsoids\, and will apply them to study such e mbeddings into specific target manifolds.\n\nAdvisor: Prof. Michael Entov\ n https://technion.zoom.us/j/99694784046 CATEGORIES:Geometry and Topology Seminar,Graduation Seminars,Seminars LOCATION:ZOOM END:VEVENT BEGIN:VEVENT UID:257@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240624T123000 DTEND;TZID=Asia/Jerusalem:20240624T133000 DTSTAMP:20250109T093744Z URL:https://math.technion.ac.il/en/events/a-variant-of-kaufmans-measures-i n-two-dimensions/ SUMMARY:A variant of Kaufman’s measures in two dimensions DESCRIPTION:Lecturer:Manos Zafeiropoulos (Technion)\n Location:Amado 814\n An old  result of Kaufman showed that the set of badly approximable numbe rs supports a family of probabilty measures with polynomial decay rate on their Fourier transform. We show that the same phenomenon can be observed in a two-dimensional setup: Consider the set of pairs (alpha\, gamma) in [ 0\,1]^2 for which there exists c>\;0 such that all integers p\,q satisfy \n| q alpha - p - gamma | >\; c.\nWe prove that it supports certain prob ability measures with Frostman dimension arbitrarily close to $2$ and Four ier transform with polynomial decay rate. This is joint work with S. Chow and E. Zorin.\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:239@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240624T170000 DTEND;TZID=Asia/Jerusalem:20240624T180000 DTSTAMP:20250109T093744Z URL:https://math.technion.ac.il/en/events/polynomial-time-cryptanalytic-ex traction-of-neural-network-models-2/ SUMMARY:Polynomial Time Cryptanalytic Extraction of Neural Network Models DESCRIPTION:Lecturer:Prof. Adi Shamir\n Location:Sego 1\n Abstract. Billion s of dollars and countless GPU hours are currently spent on training Deep Neural Networks (DNNs) for a variety of tasks. Thus\, it is essential to d etermine the difficulty of stealing such networks (by extracting all their parameters) when given access to their black-box implementations. Many ve rsions of this problem have been studied over the last 30 years\, includin g a deep result by Charles Fefferman from 1994 that the internal parameter s of such networks are uniquely determined by their inputs and outputs\, i n the same way that the coefficients of multivariate polynomials are uniqu ely determined by their inputs and outputs via interpolation.  However\, his result does not determine the difficulty of this task\, and the best c urrently known algorithm for extracting all the parameters of a ReLU-based deep neural network was presented at Crypto’20 by Carlini\, Jagielski\, and Mironov. It resembles a differential chosen plaintext attack on a cry ptosystem\, which has a secret key embedded in its black-box implementatio n and requires a polynomial number of queries but an exponential amount of time (as a function of the number of neurons).\n\n \;\n\nIn this talk \, I will improve this attack by developing several new techniques that ma ke it possible to extract with arbitrarily high precision all the real-val ued parameters of a ReLU-based DNN using a polynomial number of queries AN D a polynomial amount of time. I will demonstrate its practical efficiency by applying it to a full-sized neural network for classifying the CIFAR10 dataset\, which has 3072 inputs\, 8 hidden layers with 256 neurons each\, and about 1.2 million neuronal parameters. An attack following the approa ch by Carlini et al. requires an exhaustive search over 2^256 possibilitie s\, whereas the new attack requires only 30 minutes on a 256-core computer .\n\n \;\nA reception will be held at 16:30 | Faculty Lounge | Amado B uilding\, 8th floor.\n CATEGORIES:Netanyahu Memorial Lecture,Seminars LOCATION:Sego 1 END:VEVENT BEGIN:VEVENT UID:265@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240625T113000 DTEND;TZID=Asia/Jerusalem:20240625T123000 DTSTAMP:20250109T093744Z URL:https://math.technion.ac.il/en/events/poisson-dirichlet-distribution-f or-the-interchange-process-in-five-dimensions/ SUMMARY:Poisson-Dirichlet distribution for the interchange process in five dimensions DESCRIPTION:Lecturer:Dor Elboim (IAS)\n Location:Meyer building (electrical engeneering)\, room 861\n In the interchange process on a graph G=(V\,E) distinguished particles are placed on the vertices of G with independent P oisson clocks on the edges. When the clock of an edge rings\, the two part icles on the two sides of the edge interchange. In this way\, a random per mutation $\\pi_\\beta:V\\to V$ is formed for any time $\\beta>\;0$. One of the main objects of study is the cycle structure of the random permut ation and the emergence of long cycles.\n\nWe prove the existence of inf inite cycles in the interchange process on $\\mathbb{Z}^d$ for all dimen sions $d\\geq 5$ and all large $\\beta$\, establishing a conjecture of Bá lint Tóth from 1993 in these dimensions.\n\n\nWe also study the process o n the torus of side length $L$ in dimension $d\\geq 5$ and prove that mac roscopic cycles emerge after a long time $\\beta$. These are cycles wh ose length is proportional to the volume of the torus $L^d$. Moreover\, we show that the cycle lengths converge to the Poisson-Dirichlet distribu tion.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:260@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240625T133000 DTEND;TZID=Asia/Jerusalem:20240625T143000 DTSTAMP:20250109T093744Z URL:https://math.technion.ac.il/en/events/wavelets-are-all-you-need-for-au toregressive-image-generation/ SUMMARY:Wavelets are all you need for autoregressive image generation DESCRIPTION:Lecturer:Shai Dekel\n Location:Amado 814\n \n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:255@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240626T123000 DTEND;TZID=Asia/Jerusalem:20240626T133000 DTSTAMP:20250109T093744Z URL:https://math.technion.ac.il/events/%d7%9b%d7%9e%d7%94-%d7%9e%d7%a9%d7% 95%d7%9c%d7%a9%d7%99%d7%9d-%d7%99%d7%a9-%d7%91%d7%92%d7%a8%d7%a3/ SUMMARY:כמה משולשים יש בגרף? DESCRIPTION:Lecturer:אבי ברמן (טכניון)\n Location:Amado 232\n \nההרצאה תהיה טעימות בתורה הספקטרלית של ג רפים - חקירת תכונות של גרפים בעזרת ערכים עצמיים של מטריצות שמייצגות אותם.\nנדבר על צלעות ומשולשים\, חברות\, נסים ולפלסיאנים. \n\n CATEGORIES:Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:248@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240626T143000 DTEND;TZID=Asia/Jerusalem:20240626T152000 DTSTAMP:20250109T093745Z URL:https://math.technion.ac.il/en/events/ron-holzman/ SUMMARY:Ron Holzman (Technion) -- Triangle-free triple systems DESCRIPTION:Lecturer:Ron Holzman\n Location:814 Amado\n There are four non- isomorphic configurations of triples that can form a triangle in a 3-unifo rm hypergraph. Forbidding different combinations of these four configurati ons\, fifteen extremal problems can be defined\, several of which already appeared in the literature in some different context. Here we systematical ly study all of these problems solving the new cases exactly or asymptotic ally. In many cases we also characterize the extremal constructions.\n\nJo int work with Peter Frankl\, Zoltan Furedi\, Ido Goorevitch and Gabor Simo nyi.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:256@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240627T123000 DTEND;TZID=Asia/Jerusalem:20240627T133000 DTSTAMP:20250109T093745Z URL:https://math.technion.ac.il/en/events/determining-the-nef-cone-of-the- hilbert-scheme-of-n-points-on-a-bielliptic-surface-via-bridgeland-stabilit y-graduation-seminar/ SUMMARY:Determining the nef cone of the Hilbert scheme of n points on a bie lliptic surface via Bridgeland stability - Graduation Seminar DESCRIPTION:Lecturer:Elizaveta Nesterova\n Location:Amado 814 \n Since Brid geland introduced his definition of stability conditions in 2002\, they ha ve been used to solve various problems in algebraic geometry.  Any Bridge land stability condition gives us a moduli problem and associates to any C hern character a moduli space\, which for surfaces is known to be an algeb raic space.  For the Chern character of a Gieseker semi stable sheaf on a surface\, some special Bridgeland stability conditions (those in the so-c alled Gieseker chamber) give back the classical moduli space of semistabl e coherent sheaves constructed by Gieseker and Maruyama.  Varying the sta bility conditions allows us to study the relationships between various mod uli spaces of Bridgeland semi stable objects on surfaces.  For example\, one often obtains birational maps between moduli spaces using wall-crossi ng methods in the space of Bridgeland stability conditions\, in particular the natural nef divisor on the moduli space define by. A. Bayer and E. Ma crì.\n\nThus far\, these techniques have not been used to study moduli sp aces associated to bielliptic surfaces.\n\nIn this talk\, we discuss how u sing wall-crossing techniques along with some other insights allows us to determine the nef cone of the moduli space of stable sheaves of Chern clas s (1\, 0\, -n)\, which corresponds to the Hilbert scheme of n points.  Mo reover\, we determine the birational surgery that gives the first minimal model beyond the boundary of the nef cone.\n\nAdvisor: Dr. Howard Nuer\n\n  \;\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:261@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240627T123000 DTEND;TZID=Asia/Jerusalem:20240627T133000 DTSTAMP:20250109T093745Z URL:https://math.technion.ac.il/en/events/determining-the-nef-cone-of-the- hilbert-scheme-of-n-points-on-a-bielliptic-surface-via-bridgeland-stabilit y/ SUMMARY:Determining the nef cone of the Hilbert scheme of n points on a bie lliptic surface via Bridgeland stability DESCRIPTION:Lecturer: Elizaveta Nesterova\n Location:Amado 814\n \nSince Br idgeland introduced his definition of stability conditions in 2002\, they have been used to solve various problems in algebraic geometry.  Any Brid geland stability condition gives us a moduli problem and associates to any Chern character a moduli space\, which for surfaces is known to be an alg ebraic space.  For the Chern character of a Gieseker semi stable sheaf on a surface\, some special Bridgeland stability conditions (those in the so -called Gieseker chamber) give back the classical moduli space of semistab le coherent sheaves constructed by Gieseker and Maruyama.  Varying the st ability conditions allows us to study the relationships between various mo duli spaces of Bridgeland semi stable objects on surfaces.  For example\, one often obtains birational maps between moduli spaces using wall-crossi ng methods in the space of Bridgeland stability conditions\, in particular the natural nef divisor on the moduli space define by. A. Bayer and E. Ma crì. Thus far\, these techniques have not been used to study moduli space s associated to bielliptic surfaces. In this talk\, we discuss how using w all-crossing techniques along with some other insights allows us to determ ine the nef cone of the moduli space of stable sheaves of Chern class (1\, 0\, -n)\, which corresponds to the Hilbert scheme of n points.  Moreover \, we determine the birational surgery that gives the first minimal model beyond the boundary of the nef cone.   \n\n\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:253@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240630T143000 DTEND;TZID=Asia/Jerusalem:20240630T153000 DTSTAMP:20250109T093745Z URL:https://math.technion.ac.il/en/events/the-riemann-hypothesis-as-a-nonl inear-optimization-problem/ SUMMARY:The Riemann Hypothesis as a Nonlinear Optimization Problem DESCRIPTION:Lecturer:Yochay Jerby (Holon Institute of Technology)\n Locatio n:Amado 814\n Abstract:\n\nThe Riemann-Siegel formula is the main tool for calculating the values of the Riemann zeta function on the critical line\ , but its complexity makes it difficult to extract theoretical information about the zeros of zeta\, a key challenge of the Riemann Hypothesis.\n\nT his talk introduces an alternative to the Riemann-Siegel formula using hig her-order sections\, based on our previous results on the approximate func tional equation with exponentially decaying error. This alternative define s the N-th variation space of sections of zeta\, Z_N(t\; a_1\,...\,a_N)\, with the following properties:\n\n Core Function: At the origin\, Z_0(t) has well-understood zeros.\n Approximation: At Z_N(t\;1\,...\,1)\, it app roximates zeta in the region 2N <\; t <\; 2N+2.\n\nThis transforms the Riemann Hypothesis into a non-linear optimization problem\, studying the dynamic change of zeros along paths from a = (0\, ...\, 0) to a = (1\, ... \, 1). The focus will be on the discriminant of multiple zeros forming wit hin this space\, revealing a dynamic repulsion relation between consecutiv e zeros of zeta\, deeply related to Gram’s law. No prior knowledge of th e zeta function is required.\n CATEGORIES:Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:258@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240701T113000 DTEND;TZID=Asia/Jerusalem:20240701T123000 DTSTAMP:20250109T093745Z URL:https://math.technion.ac.il/en/events/dynamics-over-the-quaternions/ SUMMARY:First steps in non-commutative dynamics over the Quaternions and th e Octonions DESCRIPTION:Lecturer:Solomon Vishkautsen (Tel-Hai)\n Location:Amado 919\n W e present results on the dynamics of standard univariate polynomials over Quaternions and Octonions from an algebraic point of view. We look at peri odic and fixed points\, and emphasize the need to carefully define what we mean by these terms when it comes to dynamics over non-commutative rings. For quadratic monics over the Octonions\, we provide criteria for classif ying fixed points as attracting\, repelling or "ambivalent"\, generalizin g the complex case. This is a joint work with Adam Chapman from The Academ ic College of Tel Aviv–Yaffo.\n CATEGORIES:Geometry and Topology Seminar,Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:270@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240702T133000 DTEND;TZID=Asia/Jerusalem:20240702T143000 DTSTAMP:20250109T093745Z URL:https://math.technion.ac.il/en/events/the-g-invariant-graph-laplacian/ SUMMARY:The G-invariant graph Laplacian DESCRIPTION:Lecturer:Eitan Rosen\n Location:Amado 814\n Graph Laplacian met hods are a central tool for analyzing data lying on a manifold. In this ta lk\, we introduce the G-invariant graph Laplacian (G-GL)\, designed for ma nifold data closed under the action of a known matrix (Lie) group G. We pr esent the G-GLs key properties and show that exploiting the symmetries in the data has significant theoretical and computational advantages. We then show how to use the G-GLs eigendecomposition to construct G-equivariant a nd G-invariant embeddings of the data\, related to certain random walks ov er the data. Finally\, we discuss applications to the cryo-electron micros copy class averaging problem.\n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:263@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240703T143000 DTEND;TZID=Asia/Jerusalem:20240703T152000 DTSTAMP:20250109T093745Z URL:https://math.technion.ac.il/en/events/yevgeny-levanzov/ SUMMARY:Yevgeny Levanzov (Tel Aviv) -- On the hardness of edge-modification problems DESCRIPTION:Lecturer:Yevgeny Levanzov\n Location:814 Amado\n Edge-modificat ion problems ask for the minimal number of edge additions/deletions needed to make a graph satisfy some property. A (meta) problem of this type\, wh ich was raised by Yannakakis in 1981\, asks to determine for which propert ies P\, it is NP-hard to compute the smallest number of edge deletions nee ded to make a graph satisfy P. Despite being extensively studied in the pa st 40 years\, this problem is still wide open\, even when P is the propert y of being H-free\, for some fixed graph H. Let Rem_H(G) denote the smalle st number of edge deletions needed to turn G into an H-free graph. Alon\, Shapira and Sudakov [Annals of Math. 2009] proved that if H is not biparti te\, then computing Rem_H(G) is NP-hard. They left open the problem of cla ssifying the bipartite graphs H for which computing Rem_H(G) is NP-hard. W e resolve this problem when H is a forest\, showing that computing Rem_H(G ) is polynomial-time solvable if H is a star forest and NP-hard otherwise. Our main innovation lies in introducing a new graph theoretic approach\, which differs significantly from all prior works on this subject. In parti cular\, we prove new results concerning a famous conjecture of Erdős and Sós regarding the Turán number of trees.\n\nJoint work with Lior Gishbol iner and Asaf Shapira.\n\n \;\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:273@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240704T113000 DTEND;TZID=Asia/Jerusalem:20240704T123000 DTSTAMP:20250109T093745Z URL:https://math.technion.ac.il/en/events/asymptotically-commuting-measure s-have-the-same-harmonic-functions/ SUMMARY:Asymptotically commuting measures have the same harmonic functions DESCRIPTION:Lecturer:Omer Segev (BGU)\n Location:Amado 919\n We define the notion of asymptotically commuting measures on a countable discrete group\ , and under some assumptions on their support\, we prove that there is an inclusion relation between the related bounded harmonic functions spaces. Moreover\, we show that the notion of commuting measures is the unifying i dea behind some seemingly unrelated theorems\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:271@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240704T123000 DTEND;TZID=Asia/Jerusalem:20240704T133000 DTSTAMP:20250109T093746Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-dimer- models-on-non-orientable-surfaces/ SUMMARY:Cable Car Algebra Seminar: Dimer models on non-orientable surfaces DESCRIPTION:Lecturer:Sefi Ladkani (UHaifa)\n Location:Technion\, Amado Buil ding\, Room 814\n A classical dimer model consists of a bipartite graph dr awn on an orientable closed surface. A dimer model gives rise to a non-com mutative algebra constructed as a Jacobian algebra of a quiver with potent ial built from the graph. Various properties of this algebra are reflected in certain conditions on the dimer model.\nWe propose to extend the notio n of a dimer model to arbitrary graphs (not necessarily bipartite) drawn o n arbitrary closed surfaces (which are not necessarily orientable). One mu st impose some restrictions on the graph in order to be able to construct a quiver with potential\; it turns out that these restrictions can be expr essed in terms of bipartiteness of a certain auxiliary graph.\nOur extende d framework contains all the classical dimer models\, but also gives rise to new ones consisting of certain graphs on non-orientable surfaces. Some of these new models have the interesting feature that the finite-dimension ality of the associated non-commutative algebra depends on the characteris tic of the ground field.\nAs an application we address the problem of cons truction and classification of non-degenerate potentials on the exceptiona l quiver X7 using a dimer model on the real projective plane.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:272@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240704T134000 DTEND;TZID=Asia/Jerusalem:20240704T144000 DTSTAMP:20250109T093746Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-growth -rate-of-monomial-algebras-and-entropy-in-derived-categories/ SUMMARY:Cable Car Algebra Seminar: Growth rate of monomial algebras and ent ropy in derived categories DESCRIPTION:Lecturer:Dmitri Piontkovski (HSE Moscow)\n Location:Technion\, Amado Building\, Room 814\n Based on the ideas of noncommutative geometry\ , we think about a graded associative algebra as a coordinate ring of a `` noncommutative projective variety''. The role of the category of coherent sheaves is\nplayed by the quotient of the category of graded finitely pres ented A-modules by the finite-dimensional ones. We demonstrate how to reco ver information about the algebra from its bounded derived category in the case of monomial and path algebras. In particular\, we calculate the entr opy in graphs\, algebras\, and derived categories.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:274@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240708T153000 DTEND;TZID=Asia/Jerusalem:20240708T163000 DTSTAMP:20250109T093746Z URL:https://math.technion.ac.il/en/events/confined-discrete-subgroups-of-s emisimple-lie-groups/ SUMMARY:"Confined discrete subgroups of semisimple Lie groups." DESCRIPTION:Lecturer:Arie Levit (Tel Aviv University)\n Location:Amado 232\ n Abstract: The group of isometries of the hyperbolic plane is a simple Li e group. Any discrete (and torsion-free) subgroup of this Lie group corres ponds to a hyperbolic surface. More generally\, any discrete subgroup of a ny semisimple Lie group corresponds to a so-called locally symmetric space . We will talk about the geometry of those spaces and of their covers\, al lowing for deterministic as well as random covers\, in a suitable sense. T he key notion is confined discrete subgroups\, corresponding to manifolds whose injectivity radius is uniformly bounded from above at all points. We present rigidity results for the covers of such manifolds\, based on join ts works with Ilya Gekhtman\, Uri Bader and Tsachik Gelander. Our results can be seen as an extension of the classical Margulis normal subgroup theo rem.\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:275@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240710T123000 DTEND;TZID=Asia/Jerusalem:20240710T133000 DTSTAMP:20250109T093746Z URL:https://math.technion.ac.il/en/events/%d7%a4%d7%90%d7%95%d7%a0%d7%99%d 7%9d-%d7%a9%d7%9c-%d7%a1%d7%99%d7%9e%d7%98%d7%a8%d7%99%d7%95%d7%aa-%d7%a9% d7%9c-%d7%a4%d7%90%d7%95%d7%a0%d7%99%d7%9d-%d7%a9%d7%9c-%d7%a1%d7%99%d7%9e %d7%98%d7%a8%d7%99/ SUMMARY:פאונים של סימטריות של פאונים של סימט ריות... DESCRIPTION:Lecturer:טלי פינסקי (טכניון)\n Location:Amado 23 2\n \n\nנסתכל על פוליהדרונים (מצולעים ופאונ ים) משוכללים במימד 2 או 3\, נראה איך כל הסימ טריות של כל פוליהדרון הן חבורה ואיך חבור ת סימטריות של פוליהדרון נותנת דרך לבנות פוליהדרון במימד אחד יותר גבוה\, וכך נוכל להבין פאונים במימד ארבע וחמש. כך למשל ה 600 cell שהוא פוליהדרון ארבע מימדי המורכב מ 600 טטרהדרים מתקבל מסימטריות של דודקהדרון ש הוא תלת מימדי (מעין כדורגל רק מחומשים).\n\n\ n\n CATEGORIES:Math Club,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:264@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240710T143000 DTEND;TZID=Asia/Jerusalem:20240710T152000 DTSTAMP:20250109T093746Z URL:https://math.technion.ac.il/en/events/gil-alon/ SUMMARY:Gil Alon (Open University) -- The Collatz map in F_2[x] DESCRIPTION:Lecturer:Gil Alon\n Location:814 Amado\n The Collatz problem is one of the most famous and notoriously hard problems in mathematics. Reca ll that the Collatz map sends an even number n to n/2 and an odd n to 3n+1 . The Collatz conjecture states that starting from any natural number\, af ter a finite number of iterations of the Collatz map\, we get the value 1. \n\nIn 2008\, Hicks\, Mullen\, Yucas and Zavislak suggested looking at a v ariant of the Collatz problem\, where one considers polynomials in F_2[x]\ , and the map sends a polynomial p such that p(0)=0 to p/x\, and otherwise sends p to (x+1)p+1. In other words\, we perform the Classical Collatz ma p in base-2 representation\, without carrying the digits in addition and m ultiplication. They proved that starting from any nonzero polynomial p\, w e get to the polynomial 1 in at most O((deg p)^2) steps.\n\nIn a recent wo rk with Angelot Behajaina and Elad Paran\, we improved the above bound to O((deg p)^1.5). We will outline the proof and discuss related results and conjectures.\n\n \;\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:278@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240711T113000 DTEND;TZID=Asia/Jerusalem:20240711T123000 DTSTAMP:20250109T093746Z URL:https://math.technion.ac.il/en/events/small-cancellation-and-applicati ons/ SUMMARY:Small cancellation and applications DESCRIPTION:Lecturer:Gil Goffer (UCSD)\n Location:Amado 919\n I’ll discus s the use of small cancellation methods in producing groups with desired p roperties. In particular\, I’ll demonstrate how to construct groups t hat satisfy certain laws with probability 1 but still contain free non-ab elian subgroups (answering a question of Amir\, Blachar\, Gerasimova\, and Kozma)\; groups whose semigroup Zariski topology is strictly coarser th an their group Zariski topology (answering a question of Elliott\, Jonusa s\, Mesyan\, Mitchell\, Morayne\, and Peresse)\; and lacunary hyperbolic groups with very small Frattini quotients (in contrast to previously know n results by Gelander and Glasner\, and by Hull\, for other hyperbolic-l ike groups).\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:286@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240715T123000 DTEND;TZID=Asia/Jerusalem:20240715T133000 DTSTAMP:20250109T093814Z URL:https://math.technion.ac.il/en/events/sampling-methods-for-the-disk-an d-for-3d-rotations/ SUMMARY:Sampling methods for the disk and for 3D rotations DESCRIPTION:Lecturer:Rene Ruhr\n Location:Amado 814\n Generating random num bers efficiently is a classical problem in computing.\nWe discuss two case s: sampling the 2-dimensional disk and the space of 3D rotations.\nCommon methods involve trigonometric functions or rejection approaches\, both of which can be slow on some hardware.\nFirst\, we adapt the Lubotzky-Phillip ps-Sarnak method for producing low discrepancy sequences which is based on integers\, modifying it to trade quality for speed (keeping the spectral gap).\nSecond\, we discuss von Neumann's method of rejection sampling for the disk using conditional probability. By leveraging translation symmetry and memory (Markov Chain)\, we can eliminate rejections.\nDiscussion on t hese topics can already be found on https://rene.ruhr/gfx/.\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:287@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240716T113000 DTEND;TZID=Asia/Jerusalem:20240716T123000 DTSTAMP:20250109T093814Z URL:https://math.technion.ac.il/en/events/stochastic-models-for-nonlinear- second-order-pde-solutions-and-numerical-approximations/ SUMMARY:Stochastic models for nonlinear second order PDE solutions and nume rical approximations DESCRIPTION:Lecturer: Yana Belopolskaya\n Location:Zisapel building\, room 506 (NOTE THE SPECIAL LOCATION)\n Nonlinear parabolic equations and system s arise in various applications\, namely\, physics\, biology\, financial m athematics and others. We consider stochastic differential equations to de scribe Markov processes associated with classical  and viscosity solution s of the Cauchy problem for some classes of nonlinear PDEs and derive prob abilistic representations of these solutions. To deal with classical solut ions of PDEs we need an extension of the classical SDE theory while to de al with viscosity solutions we need an extension of the forward-backward SDE theory. Finally\, we give a description of numerical schemes to con struct approximations to the PDE solutions based on the derived probabili stic  representations and consider the possibility to apply neural networ k based algorithms to solve approximately PDE problems in large dimensio ns. The results will be illustrated with some examples.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Zisapel building\, room 506 (NOTE THE SPECIAL LOCATION) END:VEVENT BEGIN:VEVENT UID:284@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240717T120000 DTEND;TZID=Asia/Jerusalem:20240717T130000 DTSTAMP:20250109T093815Z URL:https://math.technion.ac.il/en/events/ctl-verification-and-synthesis-u sing-existential-horn-clauses/ SUMMARY:CTL* Verification and Synthesis using Existential Horn Clauses DESCRIPTION:Lecturer:Mishel Carelli\n Location:ZOOM\n This work proposes a novel approach for automatic verification and synthesis of infinite-state reactive programs with respect to CTL* specifications\, based on translati on to Existential Horn Clauses (EHCs).\n\nCTL* is a powerful temporal logi c\, which subsumes the temporal logics LTL and CTL\, both widely used in s pecification\, verification\, and synthesis of complex systems.\n\nEHCs wi th its solver E-HSF\, is an extension of Constrained Horn Clauses\, which includes existential quantification as well as the power of handling well- foundedness.\n\nWe develop the translation system Trans\, which\, given a verification problem consisting of a program P and a specification φ\, bu ilds a set of EHCs which is satisfiable iff P satisfies φ.\n\nWe also dev elop a synthesis algorithm that\, given a program with holes in conditions and assignments\, fills the holes so that the synthesized program satisfi es the given CTL* specification.\n\nWe prove that our verification and syn thesis algorithms are both sound and relative complete. Finally\, we prese nt case studies to demonstrate the applicability of our algorithms for CTL * verification and synthesis\n\n \;\n\nAdvisor: Prof. Orna Grimberg\n https://technion.zoom.us/j/97342052061?pwd=ehWd1mTlkvaV8yZfCuvfDk8xpf8Qwn. 1 CATEGORIES:Graduation Seminars,Seminars LOCATION:ZOOM END:VEVENT BEGIN:VEVENT UID:279@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240717T133000 DTEND;TZID=Asia/Jerusalem:20240717T143000 DTSTAMP:20250109T093815Z URL:https://math.technion.ac.il/en/events/a-gap-labeling-theorem-for-schro dinger-operators-on-metric-graphs/ SUMMARY:A gap labeling theorem for Schrödinger operators on metric graphs DESCRIPTION:Lecturer:Gilad Sofer (Technion)\n Location:Faculty Lounge 8th f loor Amado\n \n\nGiven a Schrödinger operator on Rn or Zn\, we are often interested in its integrated density of states\, which roughly counts the number of states per unit volume in the system. Special attention is often given to the values the integrated density of states attains inside spect ral gaps\, which are known as gap labels. These gap labels are also of sig nificant physical importance\, as seen in the quantum hall effect\, where they correspond to the possible values of the Hall conductance.\n\nIn this talk\, I will discuss an ongoing work with Ram Band\, that focuses on the gap labels for Schrödinger operators on complex networks of conductors\, known as quantum graphs. We show that the gap labels for such quantum gra phs are contained in the image of a naturally defined homomorphism\, which depends on both the geometry of the graph\, and the dynamics governing it s local structure. This provides a method to compute the possible gap labe ls for large families of quantum graphs\, offering new insights into their spectral properties and potential applications.\n\n\n CATEGORIES:Pizza Seminar,Seminars LOCATION:Faculty Lounge 8th floor Amado END:VEVENT BEGIN:VEVENT UID:288@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240717T143000 DTEND;TZID=Asia/Jerusalem:20240717T152000 DTSTAMP:20250109T093815Z URL:https://math.technion.ac.il/en/events/yuval-filmus-2/ SUMMARY:Yuval Filmus (Technion) -- Intersecting Families of Permutations an d Certificates DESCRIPTION:Lecturer:Yuval Filmus\n Location:814 Amado\n A family of permut ations is 2-intersecting if any two permutations agree on at least 2 point s. Ellis\, Friedgut and Pilpel showed that for large enough n\, such famil ies contain at most (n-2)! permutations\, and Ellis characterized the extr emal families. Meagher and Razafimahatratra extended this to all n\, but w ere unable to characterize the extremal families. Using ideas borrowed fro m theoretical computer science\, we characterize the extremal families.\n\ nJoint work with Gilad Chase\, Neta Dafni\, Noam Lifshitz\, Nathan Lindzey \, and Marc Vinyals.\n\n \;\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:290@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240718T113000 DTEND;TZID=Asia/Jerusalem:20240718T123000 DTSTAMP:20250109T093815Z URL:https://math.technion.ac.il/en/events/richly-branching-flats-or-a-coar se-geometric-obstruction-to-cubulation/ SUMMARY:Richly Branching Flats or: A Coarse Geometric Obstruction to Cubula tion DESCRIPTION:Lecturer:Zachary Munro (Technion)\n Location:Amado 919\n A majo r theme of geometric group theory over the past few decades has been to cu bulate groups\, i.e.\, construct proper cocompact actions on CAT(0) cube c omplexes. Such actions often yield algebraic consequences (e.g. subgroup s eparability\, biautomaticity\, aTmenability)\, and a group is often obstru cted from cubulation by not having one of these algebraic properties. Taki ng a different\, geometric point of view\, we define a class of 'poisonous ' spaces -- richly branching flats (RBFs) -- and we show that groups co ntaining RBFs are not quasi-isometric to CAT(0) cube complexes and thus no t cubulated. We present some applications to free-by-cyclic groups and tub ular groups. This work is joint with Harry Petyt.\n\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:281@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240718T123000 DTEND;TZID=Asia/Jerusalem:20240718T133000 DTSTAMP:20250109T093815Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar/ SUMMARY:Cable Car Algebra Seminar: Symplectic duality and Hikita-Nakajima c onjecture DESCRIPTION:Lecturer:Vasily Krylov (MIT)\n Location:Technion\, Amado Buildi ng\, Room 814\n We will discuss the general notion of symplectic duality ( also known as 3D mirror symmetry) between symplectic resolutions of singul arities and give examples. We will then formulate the Hikita-Nakajima conj ecture describing (equivariant) cohomology ring of a symplectic resolution in terms of the dual variety. We will consider the example of the Hilbert scheme of points on the affine plane and discuss the proof of the Hikita- Nakajima conjecture in this particular case. Time permitting\, we will dis cuss the general approach towards the proof of Hikita-Nakajima conjecture for other symplectically dual pairs (such as Higgs and Coulomb branches of certain quiver gauge theories). Various interesting objects (for example\ , integrable systems on Coulomb branches) appear naturally in the proof. B ased on a joint work with Pavel Shlykov.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:280@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240718T134500 DTEND;TZID=Asia/Jerusalem:20240718T144500 DTSTAMP:20250109T093815Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-homolo gical-connections-between-glnqp-and-slnc/ SUMMARY:Cable Car Algebra Seminar: Homological connections between GLn(Qp) and sln(C) DESCRIPTION:Lecturer:Rida Saabna (Technion)\n Location:Technion\, Amado Bui lding\, Room 814\n We will discuss the connections between the homological properties of the representation theory of the general linear group over a p-adic field and the representation theory of the complex semisimple Lie algebra sln(C). We use the Arakawa-Suzuki functors\, a family of exact fu nctors from the BGG category O of sln(C) to the category of finite dimensi onal modules over the degenerate affine Hecke algebra\, to extract new hom ological results in the setting of the general linear group from known res ults in the theory of the category O.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:283@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240718T134500 DTEND;TZID=Asia/Jerusalem:20240718T144500 DTSTAMP:20250109T093815Z URL:https://math.technion.ac.il/en/events/homological-connections-between- glnqp-and-slnc/ SUMMARY:Homological connections between GLn(Qp) and sln(C) DESCRIPTION:Lecturer:Rida Saabna\n Location:Amado 814\n We will discuss the connections between the homological properties of the representation theo ry of the general linear group over a p-adic field and the representation theory of the complex semisimple Lie algebra sln(C). We use the Arakawa-Su zuki functors\, a family of exact functors from the BGG category O of sln( C) to the category of finite dimensional modules over the degenerate affin e Hecke algebra\, to extract new homological results in the setting of the general linear group from known results in the theory of the category O.\ n\nAdvisor: Dr. Maxim Gurevich\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:282@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240718T141500 DTEND;TZID=Asia/Jerusalem:20240718T151500 DTSTAMP:20250109T093815Z URL:https://math.technion.ac.il/en/events/highest-weight-category-for-repr esentations-of-borel-subalgebras/ SUMMARY:Highest weight category for representations of Borel subalgebras. DESCRIPTION:Lecturer:Lila Nechaev\n Location:Amado 814\n Highest weight cat egories are useful for studying the derived category of a nonsemisimple ab elian category. They were introduced after developments for the BGG catego ry O and modular representations of symmetric groups. I will recall and ad vertise this notion and show that certain natural representations of Borel subalgebras for classical Lie algebras and the Lie superalgebra osp(1|2n) admit a highest weight structure.\n\nAdvisor: Dr. Maxim Gurevich\n\n  \;\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:285@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240718T142000 DTEND;TZID=Asia/Jerusalem:20240718T145000 DTSTAMP:20250109T093815Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-highes t-weight-category-for-representations-of-borel-subalgebras/ SUMMARY:Cable Car Algebra Seminar: Highest weight category for representati ons of Borel subalgebras DESCRIPTION:Lecturer:Lila Nechaev (Technion)\n Location:Technion\, Amado Bu ilding\, Room 814\n Highest weight categories are useful for studying the derived category of a nonsemisimple abelian category. They were introduced after developments for the BGG category O and modular representations of symmetric groups. I will recall and advertise this notion and show that ce rtain natural representations of Borel subalgebras for classical Lie algeb ras and the Lie superalgebra osp(1|2n) admit a highest weight structure.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:259@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240722T123000 DTEND;TZID=Asia/Jerusalem:20240722T133000 DTSTAMP:20250109T093816Z URL:https://math.technion.ac.il/en/events/indexing-periodic-trajectories-f or-three-dimensional-flows/ SUMMARY:Indexing periodic trajectories for three-dimensional flows DESCRIPTION:Lecturer:Eran Igra (Technion)\n Location:Amado 814\n Assume we have a chaotic attractor in R^3\, generated by some smooth three-dimension al flow -- can we say what makes it unique?\n\nThis question\, even though intuitive\, is somewhat ill posed. Let us therefore consider a better pos ed question: what can we say about the knot types of periodic trajectories embedded inside the attractor? This question was answered for the case wh en the dynamics are hyperbolic\, a result often termed as the "Birman-Will iams Theorem". However\, most chaotic attractors are not known to be hyper bolic (i.e.\, "Anosov")\, so in many interesting cases this question is st ill wide open. In this talk\, we will show how using a topological invaria nt known as the Orbit Index (originally due to K. Alligood\, J. Mallet-Par et and J.A. Yorke) one can give a partial answer to this question for two of the most famous chaotic dynamical systems: the Rössler and the Lorenz attractors. Finally (and time permitting)\, inspired by the "Chaotic Hypot hesis" due to G. Gallavotti and by the Thurston-Nielsen Classification The orem for surface homeomorphisms\, we will discuss how our results can poss ibly be generalized to a larger class of three-dimensional flows.\n \nBas ed on work in progress.\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:277@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240722T153000 DTEND;TZID=Asia/Jerusalem:20240722T163000 DTSTAMP:20250109T093816Z URL:https://math.technion.ac.il/en/events/distance-problems-for-typical-no rms/ SUMMARY:Distance problems for typical norms DESCRIPTION:Lecturer:Noga Alon\, Princeton and Tel Aviv\n Location:Amado 23 2\n Abstract:\n\nI will describe a recent joint work with Matia Bucic and Lisa Sauermann\nabout the investigation of extremal problems in discrete g eometry\nfor typical norms.\nThe results include surprisingly tight soluti ons of the unit and distinct\ndistances problems for typical norms\, as we ll as a determination of the\nchromatic number of the unit distance graph for a typical planar norm.\nThis settles\, in a strong form\, questions an d conjectures of Matousek\,\nof Brass\, of Chilakamarri and Robertson and of Brass\, Moser and Pach.\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:292@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240724T123000 DTEND;TZID=Asia/Jerusalem:20240724T133000 DTSTAMP:20250109T093816Z URL:https://math.technion.ac.il/en/events/%d7%90%d7%99%d6%be%d7%a9%d7%95%d 7%99%d7%95%d7%a0%d7%95%d7%aa-%d7%90%d7%99%d6%be%d7%95%d7%93%d7%90%d7%95%d7 %aa-%d7%93%d7%99%d7%a1%d7%a7%d7%a8%d7%98%d7%99%d7%99%d7%9d/ SUMMARY:אי־שויונות אי־ודאות דיסקרטיים DESCRIPTION:Lecturer:רועי משולם (טכניון)\n Location:Amado 23 2\n \n\nאי־שויונות אי־ודאות הינם ביטויים כמ ותיים לאבחנה שפונקציה והתמרת פורייה שלה אינן יכולות להיות מרוכזות שתיהן על קבוצו ת קטנות. לאחר תיאור קצר של ההקשר ההיסטורי הפיזיקאלי של הנושא\, נתרכז בא״ש אי־ ודאו ת מעל חבורות אבליות סופיות. תחילה נדבר על אי־שיויון STARK־DONOHO והכללותיו. בהמשך נתאר מספר תכונות של המספרים הפיאדיים\, ובעזרת ן נוכיח משפט מפורסם של CHEBOTAREV על מטריצות פ ורייה השקול לא״ש אי־ ודאות אופטימלי מעל שדות מסדר ראשוני. לבסוף\, נזכיר איפיון טו פולוגי של מספרי אי־ודאות מעל שדות ראשוני ים. \n\n\n\n CATEGORIES:Math Club,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:266@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240724T143000 DTEND;TZID=Asia/Jerusalem:20240724T152000 DTSTAMP:20250109T093816Z URL:https://math.technion.ac.il/en/events/danny-hefetz/ SUMMARY:Danny Hefetz (Ariel) -- Colouring graphs from random lists DESCRIPTION:Lecturer:Danny Hefetz\n Location:814 Amado\n Given positive int egers k <\;= m and a graph G\, a family of lists L = {L(v) : v in V(G)} is said to be a random (k\,m)-list-assignment if for every v in V(G) the l ist L(v) is a subset of {1\, ...\, m} of size k\, chosen uniformly at rand om and independently of the choices of all other vertices. An n-vertex gra ph G is said to be a.a.s. (k\,m)-colourable if lim P(G is L-colourable) = 1\, where L is a random (k\,m)-list-assignment. We prove that if m >\;&g t\; n^(1/k^2) D^(1/k) and m >\;= 3 k^2 D\, where D is the maximum degree of G and k >\;= 3 is an integer\, then G is a.a.s. (k\,m)-colourable. T his is not far from being best possible\, forms a continuation of the so-c alled palette sparsification results\, and proves in a strong sense a conj ecture of Casselgren. Additionally\, we consider this problem under the ad ditional assumption that G is H-free for some graph H. For various graphs H\, we estimate the smallest m0 for which any H-free n-vertex graph G is a .a.s. (k\,m)-colourable for every m >\;= m0. This extends and improves s everal results of Casselgren.\n\nBased on joint work with Michael Krivelev ich.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:291@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240725T113000 DTEND;TZID=Asia/Jerusalem:20240725T123000 DTSTAMP:20250109T093816Z URL:https://math.technion.ac.il/en/events/harmonic-measures-for-random-wal ks-on-fuchsian-groups/ SUMMARY:Harmonic measures for random walks on Fuchsian groups DESCRIPTION:Lecturer:Peter Kosenko (University of British Columbia)\n Locat ion:Amado 919\n In my talk I will explain how to study the long-term beh aviour of finitely generated\nrandom walks on Fuchsian groups. This is a v ery rich topic which highliights a deep connections between probability an d\ngeometric group theory. In particular\, we will discuss the singularit y of the harmonic measure\nfor nearest-neighbour random walks on cocompact Fuchsian groups with "nice" fundamental domains. If time permits\,\nwe wi ll discuss the latest developments related to the classification of hittin g measures with respect to actions of Fuchsian groups on $S^1$.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:293@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240729T123000 DTEND;TZID=Asia/Jerusalem:20240729T133000 DTSTAMP:20250109T093816Z URL:https://math.technion.ac.il/en/events/classifying-stationary-measures- on-s1-with-respect-to-the-action-of-fuchsian-groups/ SUMMARY:Classifying stationary measures on S^1 with respect to the action o f Fuchsian groups DESCRIPTION:Lecturer:Peter Kosenko (UBC)\n Location:Amado 814\n Through the perspective of ergodic theory\, if one wants to study discrete dynamical system on a nice space\, it is quite desirable to look for invariant measu res and study ergodic/mixing properties. However\, this often does not wor k even for nicest group actions on nice topological spaces. Our motivating example will be the action of a non-elementary Fuchsian group on the hype rbolic plane which induces the action on S^1. Such actions generally do no t admit measures which are invariant with respect to the entire group.\nHo wever\, given a measure mu on a Fuchsian group\, one might relax the invar iance and ask whether a measure on S^1 is invariant "on average" with resp ect to mu. Such measures are called mu-stationary\, and while one can show the existence and uniqueness of the stationary measure for very general m u\, there is still no satisfactory classification which tells us when the stationary measure is singular/absolutely continuous wrt the Lebesgue meas ure on S^1. We will discuss the classical results and the latest advances related to this problem.\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:298@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240729T153000 DTEND;TZID=Asia/Jerusalem:20240729T163000 DTSTAMP:20250109T093816Z URL:https://math.technion.ac.il/en/events/generating-algebras/ SUMMARY:Generating Algebras DESCRIPTION:Lecturer:Uriya First\n Location:Amado 232\n Let K be a field. T he Primitive Element Theorem says that every (finite dimensional) separabl e extension of K can be generated by 1 element. A folklore theorem says th at every central simple K-algebra (e.g.\, a matrix algebra) can be generat ed by 2 elements. Can one prove similar bounds on the number of generators for suitable algebras over (commutative) rings? I will discuss some recen t progress on this problem based on geometry: both lower and upper bounds may be obtained by studying the space of r-tuples of generators of the alg ebra. \nFor example\, the R-algebras which naturally generalize the centr al simple K-algebras of degree n are known as Azumaya algebras of degree n . We show that if R is finitely generated over K and has Krull dimension d \, then every such algebra can be generated by 2 + floor(d/(n-1)) elements \, and there are examples requiring at least half that many elements to ge nerate.\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:295@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240730T133000 DTEND;TZID=Asia/Jerusalem:20240730T143000 DTSTAMP:20250109T093816Z URL:https://math.technion.ac.il/en/events/eigenfunction-expansion-and-subo rdinacy-theory-of-jacobi-operators-on-z/ SUMMARY:Eigenfunction expansion and subordinacy theory of Jacobi operators on Z DESCRIPTION:Lecturer:Netanel Levi\n Location:Amado 814\n If T is a self-adj oint operator on a finite-dimensional Hilbert space H\, then any vector v in H can be\nwritten as a linear combination of eigenfunctions of T. The c oncept of eigenfunction expansion is the\ngeneralization of this fact to i nfinite-dimensional Hilbert spaces. In this talk\, we introduce this conce pt\nin the specific case of Jacobi operators on \\ell^2(\\mathbb{Z}). In p articular\, we will present the connection between\neigenfunction expansio n and subordinacy theory\, which relates asymptotic properties of solution s to\nthe eigenvalue equation to singularity properties of spectral measur es.\n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:296@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240731T133000 DTEND;TZID=Asia/Jerusalem:20240731T143000 DTSTAMP:20250109T093817Z URL:https://math.technion.ac.il/en/events/sample-compression-and-topologic al-radon-theorem/ SUMMARY:Sample Compression and Topological Radon Theorem DESCRIPTION:Lecturer:Bogdan Chornomaz (Technion)\n Location:Faculty Lounge 8th floor Amado\n \n\n\n\nIf asked\, what mathematical tools are mostly us ed in machine learning\, one would probably name statistics\, probability\ , or combinatorics. So it is especially pleasing when some other tools\, c onsidered rather exotic in this area\, find natural applications to ML pro blems. In this talk\, I will speak about an application of (a variant of) topological Radon theorem to an old open problem in theoretical machine le arning regarding the existence of the so-called sample compression schemes .\n\nThe talk is based on the joint work with Zachary Chase\, Steve Hannek e\, Shay Moran\, and Amir Yehudayoff.\n\n\n\n\n CATEGORIES:Pizza Seminar,Seminars LOCATION:Faculty Lounge 8th floor Amado END:VEVENT BEGIN:VEVENT UID:267@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240731T143000 DTEND;TZID=Asia/Jerusalem:20240731T152000 DTSTAMP:20250109T093817Z URL:https://math.technion.ac.il/en/events/nir-lavee/ SUMMARY:Nir Lavee (HUJI) -- How Balanced Can Permutations Be? DESCRIPTION:Lecturer:Nir Lavee\n Location:814 Amado\n An n-element permutat ion is called k-balanced if every k-element permutation occurs in it equal ly often\, through order-isomorphism. We explicitly construct k-balanced p ermutations for k ≤ 3\, and every n that satisfies the necessary divisib ility conditions. In contrast\, we prove that for k ≥ 4\, no such permut ations exist\, and in fact every n-element permutation is at least Ω(n^(k −1)) far from being k-balanced. This lower bound is matched for k = 4\, by a construction based on the Erdős-Szekeres permutation.\nJoint work wi th Gal Beniamini and Nati Linial.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:294@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240805T123000 DTEND;TZID=Asia/Jerusalem:20240805T133000 DTSTAMP:20250109T093817Z URL:https://math.technion.ac.il/en/events/irrationality-measure-functions/ SUMMARY:Irrationality measure functions DESCRIPTION:Lecturer:Viktoria Rudykh (Technion)\n Location:Amado 814\n For a real number x we define irrationality measure function as Ψ_x(t) = min_ {1≤q≤t} ||qx||\, where ||x|| is the distance to the nearest integer. K an and Moshchevitin proved that for any x and y with x±y∉Z the differen ce of two irrationality measure functions Ψ_x(t)-Ψ_y(t) changes its sign infinitely many times as t↑∞. Later\, Moshchevitin showed that there exists a constant C>\;0 such that |Ψ_x(t)-Ψ_y(t)|≥ C min{Ψ_x(t)\,Ψ _y(t)} for infinitely many t. It was also shown that C is optimal when bot h numbers are equal to the golden ratio up to a Möbius transformation wit h integer coefficients. We prove that this constant can be significantly i mproved when one of the numbers is not the golden ratio up to a Möbius tr ansformation with integer coefficients. This is a joint work with Nikita S hulga from La Trobe University. We will also give a generalisation of Kan- Moshchevitin Theorem for $n >\; 2$ functions\n CATEGORIES:Graduation Seminars,Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:299@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240805T153000 DTEND;TZID=Asia/Jerusalem:20240805T163000 DTSTAMP:20250109T093817Z URL:https://math.technion.ac.il/en/events/object-detection-under-the-linea r-subspace-model/ SUMMARY:Object detection under the linear subspace model DESCRIPTION:Lecturer:Yoel Shkolnisky\n Location:Amado 232\n Detecting unkno wn objects in noisy data is a key task in many problems. A natural model f or the unknown objects is the linear subspace model\, which assumes that t he objects can be expanded in some known basis (such as the Fourier basis) . In this talk\, I will present an object detection algorithm that under t he linear subspace model is asymptotically guaranteed to find all objects while making only a small percentage of false discoveries. We demonstrate our derivations for the problem of particle picking in cryo-electron micro scopy.\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:302@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240806T133000 DTEND;TZID=Asia/Jerusalem:20240806T143000 DTSTAMP:20250109T093817Z URL:https://math.technion.ac.il/en/events/landis/ SUMMARY:On the Landis conjecture DESCRIPTION:Lecturer:Ujjal Das\n Location:Amado 814\n \n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:297@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240807T143000 DTEND;TZID=Asia/Jerusalem:20240807T152000 DTSTAMP:20250109T093817Z URL:https://math.technion.ac.il/en/events/max-gurevich/ SUMMARY:Max Gurevich (Technion) -- Partition duality in the representation theory of signed permutation groups DESCRIPTION:Lecturer:Max Gurevich\n Location:814 Amado\n If one insists\, t he transposition map on the set of partitions of a given integer may be vi ewed as a Langlands reciprocity phenomenon. By altering the symmetry type\ , this leads to the Barbasch–Vogan–Lusztig–Spaltenstein duality\, wh ich relates orthogonal and symplectic partitions. While this duality holds in itself the intricate geometry of non-simply-connected nilpotent orbits in classical Lie algebras\, it remains combinatorially accessible. The go al of the talk will be to offer a taste of this theme without assuming to o much background\, while surveying a recent result with Emile Okada regar ding decompositions of Springer representations.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:301@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240812T113000 DTEND;TZID=Asia/Jerusalem:20240812T123000 DTSTAMP:20250109T093817Z URL:https://math.technion.ac.il/en/events/the-isomorphism-problem-for-anal ytic-discs-and-the-embedding-dimension-for-complete-pick-spaces-2/ SUMMARY:The isomorphism problem for analytic discs and the embedding dimens ion for complete Pick spaces DESCRIPTION:Lecturer:Mikhail Mironov\n Location:Amado 719\n The talk is dev oted to two related problems.\n\nThe isomorphism problem for analytic disc s:\nSuppose V is the unit disc D embedded in the d-dimensional unit ball B d and at- tached to the unit sphere. Consider the subspace HV of the Drury -Arveson space\, which consists of functions on V and its multiplier algeb ra MV = Mult(HV ). The isomorphism problem is the question whether V1 ∼= V2 is equivalent to MV1 ∼= MV2 . We discuss what is known for V without self-crossings on the boundary and consider what happens when there are s elf-crossings.\n\nThe embedding dimension for complete Pick spaces:\nA The orem of J. Agler and J. E. McCarthy states that any complete Pick space ca n be realized as HV \, for some V in Bd\, where d can be infinite. The sma llest such d is called the embedding dimension. Given a complete Pick spac e can we find its em- bedding dimension? Can we at least determine if it i s finite or infinite? We look into this problem for radial spaces on the u nit disc D\, prove a general result and provide answers for classes of suc h spaces\, e.g.\, the weighted Hardy spaces.\n\nAdvisor: Prof. Orr Shalit\ n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:304@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240814T133000 DTEND;TZID=Asia/Jerusalem:20240814T143000 DTSTAMP:20250109T093817Z URL:https://math.technion.ac.il/en/events/arithmetic-dynamics/ SUMMARY:Arithmetic Dynamics DESCRIPTION:Lecturer:Angelot Behajaina (Technion)\n Location:Faculty Lounge 8th floor Amado\n \n\n\n\n\nArithmetic dynamics is an exciting field that blends number theory with dynamical systems. It involves exploring the nu mber-theoretic properties of self-maps\, such as those defined by polynomi als over the field of rational numbers. In this talk\, I am going to focus on the concept of ``Arboreal Galois representations''. This framework off ers tools to investigate questions like the density of prime divisors in s equences defined by polynomials.\n\n\n\n\n\n CATEGORIES:Pizza Seminar,Seminars LOCATION:Faculty Lounge 8th floor Amado END:VEVENT BEGIN:VEVENT UID:269@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240814T143000 DTEND;TZID=Asia/Jerusalem:20240814T152000 DTSTAMP:20250109T093818Z URL:https://math.technion.ac.il/en/events/gal-beniamini/ SUMMARY:CANCELLED: Gal Beniamini (HUJI) -- The Rank-Ramsey Problem and the Log-Rank Conjecture DESCRIPTION:Lecturer:Gal Beniamini\n Location:814 Amado\n A graph is called Rank-Ramsey if (i) Its clique number is small\, and (ii) The adjacency ma trix of its complement has small rank. We initiate a systematic study of s uch graphs. Our main motivation is that their constructions\, as well as p roofs of their non-existence\, are intimately related to the famous log-ra nk conjecture from the field of communication complexity. In this talk we will present two new constructions of Rank-Ramsey graph families\, exhibi ting polynomial separation between order and complement rank. The first fa mily are subgraphs of certain strong products\, whose building blocks are derived from triangle-free strongly-regular graphs. The second family are obtained by applying Boolean functions to Erdős-Rényi graphs. We will al so consider lower bounds on the Rank-Ramsey numbers\, and determine them i n the range where the complement rank is 5 or less. Joint work with Nati Linial and Adi Shraibman.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:303@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240815T113000 DTEND;TZID=Asia/Jerusalem:20240815T123000 DTSTAMP:20250109T093818Z URL:https://math.technion.ac.il/en/events/ascending-chains-of-quasiconvex- free-subgroups/ SUMMARY:Ascending chains of quasiconvex free subgroups - Graduation Seminar DESCRIPTION:Lecturer:Jack Kohav \n Location:Amado 919\n We prove that a hyp erbolic group cannot contain a strictly ascending\nchain of free quasiconv ex subgroups of constant rank.\n\n \;\n\nAdvisor: Associate Prof. Nir lazarovich\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:308@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240819T153000 DTEND;TZID=Asia/Jerusalem:20240819T163000 DTSTAMP:20250109T093818Z URL:https://math.technion.ac.il/en/events/gap-labelling-for-periodic-jacob i-matrices-on-trees/ SUMMARY:“Gap labelling for periodic Jacobi matrices on Trees”. DESCRIPTION:Lecturer:Barry Simon (Caltech)\n Location:Zoom\n Abstract:  I will present a new and simple proof (published with Banks\, Breuer\, Garza Vargas and Seelig)  of Sunada’s gap labelling for periodic Jacobi matr ices on trees.  I will discuss what periodic Jacobi matrices on trees are and the historical background of the result as well as present the proof. \n\nKind Regards\,\n\nIlya &\; Ron\n\n \;\n https://technion.zoom.u s/j/92234689904 CATEGORIES:Colloquium,Seminars LOCATION:Zoom END:VEVENT BEGIN:VEVENT UID:305@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240821T123000 DTEND;TZID=Asia/Jerusalem:20240821T133000 DTSTAMP:20250109T093818Z URL:https://math.technion.ac.il/en/events/tbd/ SUMMARY:Mathematics of slicing and dicing DESCRIPTION:Lecturer:Borys Kadetz (HUJI)\n Location:Amado 232\n I will desc ribe several elementary combinatorial puzzles involving slicing and reasse mbling geometric figures\, whose solutions require substantive mathematics . As an apéritif I offer you the following puzzle: can one cut a 1x√2 r ectangle into finitely many squares?\n CATEGORIES:Math Club,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:268@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240821T143000 DTEND;TZID=Asia/Jerusalem:20240821T152000 DTSTAMP:20250109T093818Z URL:https://math.technion.ac.il/en/events/chen-idan/ SUMMARY:Chen Idan (HUJI) -- 0-1 Laws in Multi-Parameter Random Simplicial C omplexes DESCRIPTION:Lecturer:Chen Idan\n Location:814 Amado\n Logical 0-1 laws in r andom graphs are an exciting set of results in the intersection of mathema tical logic\, probability theory\, and graph theory. The two fundamental r esults of the field: The first (Fagin\, 1976) is that every first-order lo gic property of graphs is either true or false w.h.p in the random graph G (n\,1/2) of the Erdős–Rényi model. The second (Shelah and Spencer\, 19 88)\, states the same\, just for the random graph G(n\,n^{-alpha}) where a lpha is irrational.\n\nIn this lecture\, I will present the generalization of the logical 0-1 laws from random graphs to random simplicial complexes of the multi-parameter model\, a higher dimensional generalization of the Erdős–Rényi model.\n\nThe lecture is based on my master thesis\, unde r the supervision of Ron Rosenthal.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:309@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240822T113000 DTEND;TZID=Asia/Jerusalem:20240822T123000 DTSTAMP:20250109T093818Z URL:https://math.technion.ac.il/en/events/arithmeticity-in-hyperbolic-3-ma nifolds-graduation-seminar/ SUMMARY:Arithmeticity in Hyperbolic 3-manifolds - Graduation Seminar DESCRIPTION:Lecturer:Yoav Sandner\n Location:Amado 919\n The talk will disc uss the definition and known examples of cusped arithmetic 3 manifolds\, a nd some methods of proving arithmeticity. Then\, we will discuss a new exa mple of an arithmetic 3-manifold\, that arises as a complement of closed g eodesics in the unit tangent bundle of a hyperbolic surface.\n\nAdvisor: D r. Tali Pinsky\n\n \;\n CATEGORIES:Geometry and Topology Seminar,Graduation Seminars,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:306@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240825T130000 DTEND;TZID=Asia/Jerusalem:20240825T140000 DTSTAMP:20250109T093818Z URL:https://math.technion.ac.il/en/events/majorization-in-quantum-informat ion-theory-graduation-seminar/ SUMMARY:Majorization in Quantum Information Theory - Graduation Seminar DESCRIPTION:Lecturer:Guy Shemesh \n Location:zoom\n Majorization is a well- studied partial order in information theory and matrix analysis\, known fo r its versatility and broad applications. In recent years\, it has become increasingly significant in quantum information theory as well. This talk will explore generalizations of this partial order\, specifically to joint probability distributions and classical channels. We will also discuss ho w these concepts extend to the quantum realm\, leading to profound results . In particular\, we will present our recent findings on the inherent nega tivity of quantum channel entropy and offer new insights into the relation ship between quantum channels and bipartite correlated systems.\n\nAdvisor : Prof. Gilad Gour\n https://technion.zoom.us/j/6414831815 CATEGORIES:Graduation Seminars,Seminars LOCATION:zoom END:VEVENT BEGIN:VEVENT UID:307@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240901T143000 DTEND;TZID=Asia/Jerusalem:20240901T153000 DTSTAMP:20250109T093818Z URL:https://math.technion.ac.il/en/events/the-complex-illumination-problem / SUMMARY:The Complex Illumination Problem DESCRIPTION:Lecturer:Alon Schejter (Technion)\n Location:Room 814\, Amado M athematics Building\n Abstract:  The classical Illumination number of a c onvex body $K$ is the minimal number of light sources that can illuminate the boundary of $K$. The weighted illumination number is the infimal total mass of an illuminating weighted set of directions. The famous Hadwiger C onjecture states that among all convex bodies in $R^n$\, the cube has the largest illumination number\, both classical and weighted.\n\nIn this talk we will discuss a Hadwiger-type conjecture for complex convex bodies $K$ in $C^n$. Here the role of the cube will be played by the polydisc\, that is\, the product of $2$-dimensional discs. First\, we will discuss the ill umination number of the polydisc\, relating the problem to a covering prob lem for the torus. Then we will sketch a proof of the complex Hadwiger con jecture for complex zonotopes and complex zonoids.\n\nThis talk is based o n joint work with Liran Rotem and Boaz Slomka.\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Room 814\, Amado Mathematics Building END:VEVENT BEGIN:VEVENT UID:311@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240909T140000 DTEND;TZID=Asia/Jerusalem:20240909T150000 DTSTAMP:20250109T093819Z URL:https://math.technion.ac.il/en/events/pieclam-a-universal-graph-autoen coder-based-on-overlapping-inclusive-and-exclusive-communities-graduation- seminar/ SUMMARY:PieClam: A Universal Graph Autoencoder Based on Overlapping Inclusi ve and Exclusive Communities- Graduation Seminar DESCRIPTION:Lecturer:Daniel Zilberg \n Location:Amado 814 \n In this talk w e introduce PieClam\, a new way to analyze and understand complex graphs b y grouping together nodes of similar connectivity in communities\, where c ommunity membership is continuous and there are overlaps between different communities. Unlike previous methods\, which only consider communities wi th strong inclusive connectivity\, we introduce the concept of exclusive c ommunities which indicate strong disconnection between nodes. By incorpora ting exclusive communities in our model\, we prove that PieClam can approx imate any graph with a constant number of communities that depends only on the required precision. This property is not satisfied if one only uses i nclusive communities\, as is done in traditional methods.\nExperiments sho w strong performance approximating synthetic graphs and the model is compe titive with state of the art models in identifying anomalous nodes within graphs.\n\nAdvisor: Dr. Ron Levie\n\n \;\n\n \;\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:310@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240918T170000 DTEND;TZID=Asia/Jerusalem:20240918T180000 DTSTAMP:20250109T093819Z URL:https://math.technion.ac.il/en/events/%d7%98%d7%a7%d7%a1-%d7%91%d7%95% d7%92%d7%a8%d7%99-%d7%9e%d7%90%d7%a1%d7%98%d7%a8-%d7%95%d7%a4%d7%a8%d7%a1% d7%99%d7%9d-%d7%9c%d7%a1%d7%98%d7%95%d7%93%d7%a0%d7%98%d7%99%d7%9d-%d7%9e% d7%a6%d7%98%d7%99/ SUMMARY:טקס בוגרי מאסטר ופרסים לסטודנטים מצט יינים DESCRIPTION:Lecturer:\n Location:חדר הסגל בקומה 8\n \n ATTACH;FMTTYPE=image/jpeg:https://math.technion.ac.il/wp-content/uploads/2 024/09/2.png CATEGORIES:Faculty Events,Seminars LOCATION:חדר הסגל בקומה 8 END:VEVENT BEGIN:VEVENT UID:312@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20240926T140000 DTEND;TZID=Asia/Jerusalem:20240926T150000 DTSTAMP:20250109T093819Z URL:https://math.technion.ac.il/en/events/fixed-and-periodic-points-of-the -intersection-body-operator/ SUMMARY:Fixed and Periodic Points of the Intersection Body Operator- Gradua tion Seminar DESCRIPTION:Lecturer:שחר שבלמן\n Location:Amado 617\n  \;\n\nTh e intersection body IK of a star-body K in Rn was introduced by E.\nLutwak following the work of H. Busemann\, and plays a central role in the dual\ nBrunn-Minkowski theory. We show that when n ≥ 3\, I2K = cK iff K is a c entered\nellipsoid\, and hence IK = cK iff K is a centered Euclidean ball\ , answering\nlong-standing questions by Lutwak\, Gardner\, and Fish–Naza rov–Ryabogin–Zvavitch.\nTo this end\, we recast the iterated intersect ion body equation as an Euler-\nLagrange equation for a certain volume fun ctional under radial perturbations\,\nderive new formulas for the volume o f IK\, and introduce a continuous version\nof Steiner symmetrization for L ipschitz star-bodies\, which yields a useful radial\nperturbation exactly when n ≥ 3.\n\n \;\n\nמנחים : פרופ'  מילמן עמנוא ל ופרופ' יהודיוף אמיר\n https://technion.zoom.us/j/993942 05638 CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 617 END:VEVENT BEGIN:VEVENT UID:313@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241029T093000 DTEND;TZID=Asia/Jerusalem:20241031T171500 DTSTAMP:20250109T093819Z URL:https://math.technion.ac.il/en/events/research-workshop-on-control-and -optimization-october-29-312024-via-zoom/ SUMMARY:Research Workshop on Control and Optimization October 29-31\,2024 V ia Zoom DESCRIPTION:Lecturer:\n Location:Zoom\n Additional information can be found on the CMS webpage.\nResearch Workshop on Control and Optimization Octobe r 29-31\,2024 Via Zoom\n CATEGORIES:CMS Activities,Seminars LOCATION:Zoom END:VEVENT BEGIN:VEVENT UID:322@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241110T133000 DTEND;TZID=Asia/Jerusalem:20241110T143000 DTSTAMP:20250109T093819Z URL:https://math.technion.ac.il/en/events/invariant-random-orders-on-group s/ SUMMARY:Invariant random orders on groups DESCRIPTION:Lecturer:Yair Glasner (BGU)\n Location:Amado 814\n (A joint wor k with Tom Meyerovitch and Yuqing Frank Lin) Let G be a countable group\, Ord(G) the (compact\, metrizable) space of all the linear orders on G. The group naturally acts on this space from the left (there is also a right a ction\, but we will ignore it in this talk). A left invariant order on G i s a fixed point for this action\, and the group itself is called left orde rable if such a fixed point exists. An invariant random order (IRO) is a B orel\, G -invariant probability measure on Ord(G). This notion\, defined b y Alpeev\, Meyerovitch and Ryu\, is more flexible for example since every countable group admits an IRO. In a joint work with Tom Meyerovitch and Yu qing (Frank) Lin. We study this notion and show it is not true that any pa rtially defined order can be extended to an IRO. Later it was shown by Alp eev that the property "every partially defined random order is extendable to an IRO" is actually equivalent to the amenability of the group G.\n CATEGORIES:Geometry and Topology Seminar,Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:315@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241113T143000 DTEND;TZID=Asia/Jerusalem:20241113T152000 DTSTAMP:20250109T093819Z URL:https://math.technion.ac.il/en/events/raphael-yuster/ SUMMARY:Raphael Yuster (Haifa) -- An entropy inequality and almost k-union closed set systems DESCRIPTION:Lecturer:Raphael Yuster\n Location:814 Amado\n We consider the following inequality relating the entropy h(p) of a Bernoulli r.v. of a si ngle positive outcome with the entropy h(p^k) of the corresponding r.v. of k positive outcomes:\nphi^{k-1} h(p^k) >\;= p^{k-1} h(p) where phi is t he positive root of x^k+x-1.\n\nThe case k=2 of this inequality was recent ly proved by Alweiss\, Huang\, and Sellke and by Boppana\, and served\, to gether with a breakthrough idea of Gilmer\, an important ingredient in the proof of the stability version of Frankl's union-closed conjecture by Cha se and Lovett. Other applications of this inequality were recently conside red by Wakhare.\n\nWe prove this inequality for all 3 <\;= k <\;= 20 a nd prove a variant for all k where phi^{k-1} is replaced with a slightly l arger constant. In fact\, we show that the inequality reduces to a conject ure about the number of real roots of an explicit polynomial. We use this result to prove the k-dimensional analogue of the Chase-Lovett theorem.\n\ nParts of this work is joint with Geva Yashfe.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:323@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241114T113000 DTEND;TZID=Asia/Jerusalem:20241114T123000 DTSTAMP:20250109T093819Z URL:https://math.technion.ac.il/en/events/on-the-structure-of-varieties-ov er-free-associative-algebras/ SUMMARY:On the structure of varieties over free associative algebras DESCRIPTION:Lecturer:Zlil Sela (HUJI)\n Location:Amado 509\n Sets of soluti ons to systems of equations (varieties) over free associative (non-commuta tive) algebras\nwere studied from the 1960's by ring theorists (P.M. Cohn \, G. Bergman\, and others). Because of the strict failure of\nunique fac torization over these free algebras\, not much is known about these variet ies\, and no conjectures were\never made.\n\nWe will present our work in  progress (partly joint with Agatha Atkarskaya) on the structure of some of these varieties.\nThe structure that we found is based on our previous wo rk on varieties over free groups and semigroups\, and\ninvolves concepts f rom low dimensional topology with other concepts from commutative algebra. \n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 509 END:VEVENT BEGIN:VEVENT UID:317@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241120T143000 DTEND;TZID=Asia/Jerusalem:20241120T152000 DTSTAMP:20250109T093820Z URL:https://math.technion.ac.il/en/events/michael-chapman-2/ SUMMARY:Michael Chapman (Courant) -- Subgroup Tests and the Aldous-Lyons co njecture DESCRIPTION:Lecturer:Michael Chapman\n Location:814 Amado\n The Aldous-Lyon s conjecture from probability theory states that every (unimodular) infini te graph can be (Benjamini-Schramm) approximated by finite graphs. This co njecture is an analogue of other influential conjectures in mathematics co ncerning how well certain infinite objects can be approximated by finite o nes\; examples include Connes' embedding problem (CEP) in functional analy sis and the soficity problem of Gromov-Weiss in group theory. These became major open problems in their respective fields\, as many other long stand ing open problems\, that seem unrelated to any approximation property\, we re shown to be true for the class of finitely-approximated objects. For ex ample\, Gottschalk's conjecture and Kaplansky's direct finiteness conjectu re are known to be true for sofic groups\, but are still wide open for gen eral groups.\n\n\n\nIn 2019\, Ji\, Natarajan\, Vidick\, Wright and Yuen re solved CEP in the negative. Quite remarkably\, their result is deduced fro m complexity theory\, and specifically from undecidability in certain quan tum interactive proof systems. Inspired by their work\, we suggest a novel interactive proof system which is related to the Aldous-Lyons conjecture in the following way: If the Aldous-Lyons conjecture was true\, then every language in this interactive proof system is decidable. A key concept we introduce for this purpose is that of a Subgroup Test\, which is our analo gue of a Non-local Game. By providing a reduction from the Halting Problem to this new proof system\, we refute the Aldous-Lyons conjecture.\n\n\n\n This talk is based on joint work with Lewis Bowen\, Alex Lubotzky\, and Th omas Vidick.\n\n\n\nNo special background in probability theory or complex ity theory will be assumed.\n\n \;\n\n \;\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:332@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241120T153000 DTEND;TZID=Asia/Jerusalem:20241120T163000 DTSTAMP:20250109T093820Z URL:https://math.technion.ac.il/en/events/quantifying-proximity-of-almost- commuting-unitaries-to-bonafide-commuting-unitaries/ SUMMARY:Quantifying proximity of almost commuting unitaries to bonafide com muting unitaries DESCRIPTION:Lecturer:Lucas Hall (Haifa University and Michigan State Univer sity)\n Location:Amado 814 and zoom\n After a brief history of commutation problems\, with an analysis of solutions and obstructions\, we turn atten tion to the approximate commutation problem in the context of a pair of un itary matrices. Using parameters identified by Eilers\, Loring\, and Peter sen which capture the obstruction to a general solution\, we supply a quan titative strengthening of their result using an analogous result of Kachko vskiy and Safarov in the hermitian setting.\nBased on joint work with Adam Dor-On and Ilya Kachkovskiy.\n https://us02web.zoom.us/j/89193473512 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 and zoom END:VEVENT BEGIN:VEVENT UID:335@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241125T123000 DTEND;TZID=Asia/Jerusalem:20241125T133000 DTSTAMP:20250109T093820Z URL:https://math.technion.ac.il/en/events/on-self-similar-measures-and-res tricted-projections/ SUMMARY:On self-similar measures and restricted projections DESCRIPTION:Lecturer:Amir Algom (Oranim)\n Location:Amado 814\n Restricted projections is an exciting new theory that played an important role in rec ent developments in effective unipotent dynamics. It focuses on Marstrand- like projection theorems for certain Lebesgue-null non-degenerate (in some sense) submanifolds of the grassmannian. Using it\, we establish new proj ection theorems for self-similar measures\, which significantly refine the previous state-of-the-art results of Hochman-Shmerkin (2012) and Falconer -Jin (2014).\n\nJoint with Pablo Shmerkin.\n\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:333@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241125T153000 DTEND;TZID=Asia/Jerusalem:20241125T163000 DTSTAMP:20250109T093820Z URL:https://math.technion.ac.il/en/events/rigidity-in-hyperbolic-systems/ SUMMARY:Rigidity in hyperbolic systems DESCRIPTION:Lecturer:Federico Rodriguez-Hertz (Pennsylvania State Universit y)\n Location:Amado 232\n Abstract: In the 80's two type of related rigid ity results emerged\, one of geometric flavor and the other dynamical\, b ut both have a\n\ndynamical background.  Otal and Croke showed that for n egatively\ncurved surface the marked length spectrum determines the isomet ry type\nof the surface. On the other hand\, Shub ans Sullivan for expandi ng\nmaps and later de la LLave\, Marco and Moriyon for Anosov\ndiffeomorph isms in dimension 2 showed that the marked Lyapunov\nspectrum determines t he smooth isomorphism type of the system. In this\ntalk I will discuss new developments along this line of problems\,\ndiscussing a more general fra mework where these theories can be\ndeveloped. This project is joint with A. Gogolev and M. Leguil.\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:330@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241126T100000 DTEND;TZID=Asia/Jerusalem:20241126T163000 DTSTAMP:20250109T093820Z URL:https://math.technion.ac.il/en/events/action-now/ SUMMARY:"Action Now" DESCRIPTION:Lecturer:\n Location:Amado 232\n An "Action Now" meeting will b e held at the Technion on Tuesday\, November 26. This is a continuation of series of meetings on geometry\, dynamics\, group actions and related fie lds that have been held at Israeli universities several times a year since 2007.\nMore information on the website of the CMS \n \;\n\n \;\n CATEGORIES:CMS Activities,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:327@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241127T113000 DTEND;TZID=Asia/Jerusalem:20241127T123000 DTSTAMP:20250109T093820Z URL:https://math.technion.ac.il/en/events/crash-intro-to-real-and-complex- k-theory-for-compact-spaces-for-the-functional-analyst/ SUMMARY:Crash Intro to Real and Complex K-theory for Compact Spaces for the Functional Analyst DESCRIPTION:Lecturer:Chaim Schochet (Technion)\n Location:Amado 814\, Techn ion\n (This is "pre-seminar" talk intended to give the background needed i n order to understand the afternoon talk)\nWhat's a real or complex vector bundle over a compact space X?  What are real and complex K-theory for c ompact spaces? What is a cohomology theory? What's Bott periodicity? What' s a Kunneth formula?\n\nWe're sketching all of this  as preparation for t he afternoon talk\, and so we will emphasize comparing the real and the co mplex settings.\n\n\n(Side comment for skeptics: why should an analyst car e about K-theory of any flavor?  Here's an example. Suppose that T is a b ounded operator on Hilbert space and T*T - TT*  is a compact operator.  How can I tell if T is of the form (normal) + (compact) ? It's true if and only if the index of T - lambda  is zero for every lambda not in the ess ential spectrum of T.   Try proving that without K-theory!  This example won't be in the talk - if you are interested see\n\n\nhttps://encyclopedi aofmath.org/wiki/Brown-Douglas-Fillmore_theory\nfor a nice summary.)\n htt ps://us02web.zoom.us/j/89193473512 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814\, Technion END:VEVENT BEGIN:VEVENT UID:341@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241127T123000 DTEND;TZID=Asia/Jerusalem:20241127T133000 DTSTAMP:20250109T093820Z URL:https://math.technion.ac.il/en/events/quantum-games/ SUMMARY:Quantum Games DESCRIPTION:Lecturer:Yosi Avron (Technion)\n Location:Amado 232\n This will be an introduction to quantum games. In quantum games a team of play ers that cannot communicate with each other play against an adversary. The team wins if the actions of the players are  coordinated. Two important  quantum games are the Mermin-GHZ game\, and the Mermin-Peres magic sq uare game.  Classically the team wins the game with probability that is strictly less than 1\, e.g.\, ¾ for the GHZ game. However\, a team th at has access to entangled quantum bits\, can win every round of the ga me with probability 1. Quantum games show the advantage that comes wit h entanglement.\n CATEGORIES:Math Club,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:318@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241127T143000 DTEND;TZID=Asia/Jerusalem:20241127T152000 DTSTAMP:20250109T093820Z URL:https://math.technion.ac.il/en/events/gal-beniamini-2/ SUMMARY:CANCELED: Gal Beniamini (HUJI) -- The Rank-Ramsey Problem and the Log-Rank Conjecture DESCRIPTION:Lecturer:Gal Beniamini\n Location:814 Amado\n A graph is called Rank-Ramsey if (i) Its clique number is small\, and (ii) The adjacency ma trix of its complement has small rank. We initiate a systematic study of s uch graphs. Our main motivation is that their constructions\, as well as p roofs of their non-existence\, are intimately related to the famous log-ra nk conjecture from the field of communication complexity. In this talk we will present two new constructions of Rank-Ramsey graph families\, exhibi ting polynomial separation between order and complement rank. The first fa mily are subgraphs of certain strong products\, whose building blocks are derived from triangle-free strongly-regular graphs. The second family are obtained by applying Boolean functions to Erdős-Rényi graphs. We will al so consider lower bounds on the Rank-Ramsey numbers\, and determine them i n the range where the complement rank is 5 or less. Joint work with Nati Linial and Adi Shraibman.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:325@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241127T153000 DTEND;TZID=Asia/Jerusalem:20241127T163000 DTSTAMP:20250109T093839Z URL:https://math.technion.ac.il/en/events/the-secret-life-of-real-k-theory / SUMMARY:The secret life of real K-theory DESCRIPTION:Lecturer:Chaim Schochet (Technion)\n Location:Amado 814 and Zoo m\n Aren’t real vector bundles just like complex vector bundles?  Well\ , yes\, and KO*(X) is pretty similar formally to KU*(X) (except 2 is not e qual to 8) . Generalize K-theory to real and to complex C*- algebras\, tho ugh\, and you see evidence of the secret life. Teaser: every commutative c omplex C*-algebra is isomorphic to C_o(X\,C) for some locally compact X. I t’s false for real C*-algebras and the example appears above: it is the complex numbers C\, thought of as a real commutative C*-algebra of dimensi on 2.  It is not isomorphic to R^2 even as a ring!\n https://us02web.zoom .us/j/89193473512 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 and Zoom END:VEVENT BEGIN:VEVENT UID:342@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241128T113000 DTEND;TZID=Asia/Jerusalem:20241128T123000 DTSTAMP:20250109T093839Z URL:https://math.technion.ac.il/en/events/hidden-symmetries-and-the-dehn-f illings-on-all-but-one-cusp-of-hyperbolic-link-complements/ SUMMARY:Hidden symmetries and the Dehn fillings on all but one cusp of hype rbolic link complements DESCRIPTION:Lecturer:Priyadip Mondal (BGU)\n Location:Amado 509\n A hidden symmetry of a finite volume hyperbolic three-manifold M is an isometry bet ween two finite degree covers of M that is not a lift of any self-isometry of M. Hyperbolic knot complements with hidden symmetries are of particula r interest since\, so far\, we only know three of them: the figure eight k not and the two dodecahedral knots of Aitchison and Rubinstein. Indeed\, N eumann and Reid asked in 1992 if these three knots exhaust the list of hyp erbolic knots whose complements admit hidden symmetries. \n\nThis Neumann -Reid question will be the center of our talk. We will focus on families o f knot complements obtained by Dehn filling all but one cusp of a link com plement which geometrically converge to that said link complement. I will describe some techniques for studying such families. Finally\, I will addr ess why understanding such families obtained from links in the orientable tetrahedral census of Fominykh\, Garoufalidis\, Goerner\, Tarkaev and Vesn in is important and explain how our techniques fit into this scenario.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 509 END:VEVENT BEGIN:VEVENT UID:314@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241203T133000 DTEND;TZID=Asia/Jerusalem:20241203T143000 DTSTAMP:20250109T093839Z URL:https://math.technion.ac.il/en/events/novel-patterns-in-a-class-of-kle in-gordon-equations/ SUMMARY:Novel Patterns in a Class of Klein-Gordon Equations DESCRIPTION:Lecturer:Philip Rosenau\n Location:Amado 814\n \n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:329@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241204T113000 DTEND;TZID=Asia/Jerusalem:20241204T123000 DTSTAMP:20250109T093839Z URL:https://math.technion.ac.il/en/events/tba-13/ SUMMARY:Non-commutative boundary theory and Arveson's hyperrigidity conject ure DESCRIPTION:Lecturer:Adam Dor-On (U. Haifa)\n Location:Amado 814 and zoom\n In his foundational work\, Arveson extended the classical boundary theory for function algebras to the non-commutative world. His theory provided u s with analogues of Shilov and Choquet boundaries which\, classically\, ar e certain "smallest" subsets for which the maximum modulus principle holds . Arveson's theory has had a profound influence in the fields of operator theory and operator algebras\, leading up to the resolution of many proble ms in dilation theory\, non-commutative convexity\, structure theory of C* -algebras and classification theory of operator algebras.\nIn this talk I will survey Arveson's boundary theory\, leading up to his last major open conjecture known as Arveson's hyperrigidity conjecture. This conjecture roughly states that if the Choquet boundary coincides with the whole spect rum of the generated C*-algebra\, then nets of unital completely positive maps which converge to the identity on generators must converge to the ide ntity on the whole generated C*-algebra. We will showcase a counterexample with a separable type I C*-algebra.\nAll necessary background will be pro vided throughout the talk\, and the construction of the counterexample wil l be clear (at least) to third-year undergraduate students.\nBased on a jo int work with Boris Bilich.\n https://technion.zoom.us/j/3207962925 CATEGORIES:Operator Algebras/Operator Theory,Seminars LOCATION:Amado 814 and zoom END:VEVENT BEGIN:VEVENT UID:348@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241204T133000 DTEND;TZID=Asia/Jerusalem:20241204T143000 DTSTAMP:20250109T093839Z URL:https://math.technion.ac.il/en/events/learning-under-privacy-connectio ns-to-online-learning-and-ramsey-theory/ SUMMARY:Learning Under Privacy: Connections to Online Learning and Ramsey T heory DESCRIPTION:Lecturer:Hilla Schefler (Technion)\n Location:Faculty Lounge 8t h floor Amado\n \n\n\n\nDifferential Privacy (DP) is a mathematical framew ork for ensuring the privacy of individuals in a dataset. Roughly speaking \, it guarantees that privacy is protected in data analysis by ensuring th at the output of an analysis does not reveal sensitive information about a ny specific individual\, regardless of whether their data is included in t he dataset or not.\nIn this talk I will present a recent result regarding the link between DP learning and online learning: Alon\, Livni\, Malliaris \, and Moran (2019) showed that for binary classification tasks\, DP learn ability implies online learnability. But does this connection extend to mo re general scenarios? We answer this positively by developing new Ramsey t heorems for trees.\nThis talk is based on joint work with Simone Fioravant i\, Steve Hanneke\, Shay Moran\, and Iska Tsubari. No prior knowledge of L earning Theory is required.\n\n\n\n\n\n CATEGORIES:Pizza Seminar,Seminars LOCATION:Faculty Lounge 8th floor Amado END:VEVENT BEGIN:VEVENT UID:319@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241204T143000 DTEND;TZID=Asia/Jerusalem:20241204T152000 DTSTAMP:20250109T093840Z URL:https://math.technion.ac.il/en/events/shaul-zemel/ SUMMARY:Shaul Zemel (HUJI) -- Polynomial Expressions for the Dimensions of the Representations of Symmetric Groups and Restricted Standard Young Tabl eaux DESCRIPTION:Lecturer:Shaul Zemel\n Location:814 Amado\n Given a partition λ of a number k\, it is known that by adding a long line of length n-k\, the dimension of the associated representation of Sn is an integer-valued polynomial of degree k in n. We show that its expansion in the binomial ba sis is bounded by the length of λ\, and that the resulting coefficient of index h\, with alternating signs\, counts the standard Young tableaux of shape λ in which a given collection of consecutive h numbers lie in incre asing rows. We also construct bijections in order to demonstrate explicitl y that this number is indeed independent of the set of consecutive h numbe rs used. This is joint work with Avichai Cohen.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:337@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241204T153000 DTEND;TZID=Asia/Jerusalem:20241204T163000 DTSTAMP:20250109T093840Z URL:https://math.technion.ac.il/en/events/what-is-a-zappa-szep-product/ SUMMARY:What is a Zappa-Szep product? DESCRIPTION:Lecturer:Boyu Li (New Mexico State University)\n Location:Amado 814 and Zoom\n \n\n\n\nThe Zappa-Szep product originated from group theor y. It can be viewed as a generalization of the semi-direct product\, where it encodes a two-way interaction instead of a one-way action. One can als o view the Zappa-Szep product as a decomposition of a group as a product o f two subgroups. Moving towards operator algebras\, we want to understand what a Zappa-Szep product in operator algebras should be.\n\nIn this talk\ , I will first present a Zappa-Szep product of a Fell bundle with a groupo id\, as a generalization of groupoid actions on Fell bundles. Under this p erspective\, we proved a generalized imprimitivity theorem arising from su ch two-way interactions that generalized several classical results of cros s-products. I will also present some recent progress on the Zappa-Szep pro duct of C*-algebras arising more intrinsically from Cartan subalgebras. Th is presents a new way of understanding the Zappa-Szep product using the so -called factorisation map. This realization allows us to define the Zappa- Szep of twisted groupoids\, which arises naturally as the Weyl groupoids f rom Cartan subalgebras.\n\nThis is a joint work with Anna Duwenig.\n\n\n\n \n https://us02web.zoom.us/j/89193473512 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 and Zoom END:VEVENT BEGIN:VEVENT UID:340@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241205T123000 DTEND;TZID=Asia/Jerusalem:20241205T133000 DTSTAMP:20250109T093840Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-matrix -majorizations-and-linear-preserver-problems/ SUMMARY:Cable Car Algebra Seminar: The power operation in Galois cohomology of reductive groups over number fields. DESCRIPTION:Lecturer:Mikhail Borovoi (TAU)\n Location:Technion\, Amado Buil ding\, Room 814\n Let K be a number field (say\, Q) and let G be a connect ed reductive group over K (say\, SO(n)). One needs the first Galois cohomo logy H^1(K\,G) for classification problems in algebraic geometry and linea r algebra over K.\n\nFor a number field K admitting a real embedding (say\ , K=Q)\, we show that it is impossible to define a *group structure*\, fun ctorial in G\, on the Galois cohomology pointed set H^1(K\,G) for all conn ected reductive K-groups G. However\, over an arbitrary number field K\, w e define an *operation of raising to power n* (which we denote by \\Diamon d)\n\n(x\,n) \\mapsto x^{\\Diamond n}: H^1(K\,G) \\times Z -->\; H^1(K\, G).\n\nWe show that this new operation has nice functorial properties. Whe n G is a torus (hence an abelian group)\, the pointed set H^1(K\,G) has a natural abelian group structure\, and our new operation coincides with the usual power operation\n\n(x\,n) \\mapsto x^n.\n\nFor a cohomology class x in H^1(K\,G)\, we define the *period* (or order) per(x) to be the least i nteger n>\;0 such that the n-th power x^{\\Diamond n}=1\, and we define the *index* ind(x) to be the greatest common divisor of the degrees [L:K] of finite extensions L/K splitting x. We show that per(x) divides ind(x)\, but they need not be equal. However\, per(x) and ind(x) have the same set of prime factors.\n\nAll terms will be defined and examples will be given . Based on the joint work with Zinovy Reichstein https://arxiv.org/abs/24 03.07659.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:339@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241205T133000 DTEND;TZID=Asia/Jerusalem:20241205T143000 DTSTAMP:20250109T093840Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-on-gen erating-series-of-cohomology-of-generalized-configuration-spaces/ SUMMARY:Cable Car Algebra Seminar: On Generating Series of Cohomology of Ge neralized Configuration Spaces DESCRIPTION:Lecturer:Anton Khoroshkin (U. Haifa)\n Location:Technion\, Amad o Building\, Room 814\n A generalized configuration space on $X$ consists of a collection of points on $X$ with specific rules governing which point s cannot coincide. In this work\, I will introduce a new algebraic structu re\, called a "contractad\," on the union of these spaces for $X = R^n$\, which extends the concept of the little discs operad. I will demonstrate h ow this algebraic framework can be used to extract information regarding t he Hilbert series of cohomology rings. Surprisingly\, the same approach ca n be applied to generate a series of combinatorial data associated with gr aphs\, such as the number of Hamiltonian paths\, Hamiltonian cycles\, acyc lic orientations\, and chromatic polynomials.\nThe talk is based on the jo int work with D.Lyskov.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:354@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241210T133000 DTEND;TZID=Asia/Jerusalem:20241210T143000 DTSTAMP:20250109T093840Z URL:https://math.technion.ac.il/en/events/deep-learning-on-sets-and-distri butions-via-euclidean-embeddings/ SUMMARY:Deep Learning on Sets and Distributions via Euclidean Embeddings DESCRIPTION:Lecturer:Tal Amir\n Location:Amado 814\n Machine learning probl ems involving non-Euclidean data such as sets\, point clouds\, and graphs\ , require theoretical tools and practical architectures that respect the i nherent symmetries of the data. Efficient methods to embed such data into Euclidean space are thus valuable tools\, as they allow the application of neural architectures to these non-Euclidean domains.\n\nIn this talk\, I will present two novel methods for embedding sets and distributions over R ^d into Euclidean space: one based on moments of shallow MLPs with analyti c activations\, and the other on Fourier sampling of projected quantile fu nctions. I will discuss their theoretical properties (injectivity\, bi-Lip schitzness) and demonstrate their efficient application in practical learn ing tasks. Additionally\, I will present two impossibility results: (1) em beddings based on moments cannot be bi-Lipschitz on multisets\, and (2) no embedding can be bi-Lipschitz on distributions.\n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:355@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241211T123000 DTEND;TZID=Asia/Jerusalem:20241211T133000 DTSTAMP:20250109T093840Z URL:https://math.technion.ac.il/en/events/%d7%9e%d7%aa%d7%9e%d7%98%d7%99%d 7%a7%d7%94-%d7%91%d7%a9%d7%93%d7%94-%d7%94%d7%a7%d7%a8%d7%91/ SUMMARY:מתמטיקה בשדה הקרב DESCRIPTION:Lecturer:Daniel Bachmat (Weizmann)\n Location:Amado 232\n נע בור על מספר דוגמאות מפתיעות לשימוש במתמט יקה טהורה לפתרון בעיות צבאיות שעולות בשד ה בקרב.\n CATEGORIES:Math Club,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:351@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241211T133000 DTEND;TZID=Asia/Jerusalem:20241211T143000 DTSTAMP:20250109T093840Z URL:https://math.technion.ac.il/en/events/tba-17/ SUMMARY:Uncovering Group Laws via Random Walks DESCRIPTION:Lecturer:Gil Goffer (UCSD)\n Location:Amado 814\n The phenomeno n of probability gaps suggests that if a property holds in a finite grou p with high probability\, it often holds universally within the group. Ex tending this idea to infinite group is challenging\, in the absence of a natural probability measure. In the talk I’ll discuss probability ga ps on infinite groups measured by random walks\, and present recent result s\, joint with Greenfeld and Olshanskii\, answering a few questions of Ami r\, Blachar\, Gerasimova\, and Kozma.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:336@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241211T143000 DTEND;TZID=Asia/Jerusalem:20241211T152000 DTSTAMP:20250109T093840Z URL:https://math.technion.ac.il/en/events/igal-sason-2/ SUMMARY:Igal Sason (Technion) - Combinatorial Applications of the Shearer I nequalities in Graph Theory and Boolean Functions DESCRIPTION:Lecturer:Igal Sason\n Location:814 Amado\n Shearer inequalities in information theory have significant combinatorial applications\, parti cularly in areas such as graph theory\, Boolean functions\, and lattice pr oblems. This talk explores several formulations of these inequalities and delves into some of their intriguing applications\, highlighting their uti lity in solving combinatorial problems across these domains.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:356@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241211T153000 DTEND;TZID=Asia/Jerusalem:20241211T163000 DTSTAMP:20250109T093840Z URL:https://math.technion.ac.il/en/events/shift-equivalence-and-flow-equiv alence-for-sfts-2/ SUMMARY:Shift equivalence and flow equivalence for SFTs DESCRIPTION:Lecturer:Kevin Aguyar Brix (University of Southern Denmark)\n L ocation:Amado 814 and Zoom\n \n\n\n\nShifts of finite type are fundamental objects in dynamical systems\, so it is natural to try to understand how they are related to each other. I will discuss a new result of Boyle that affirms that shift equivalence implies flow equivalence for these systems\ , as well as consequences in dynamics and operator algebras.\n\n\n\n\n htt ps://us02web.zoom.us/j/89193473512 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 and Zoom END:VEVENT BEGIN:VEVENT UID:349@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241216T153000 DTEND;TZID=Asia/Jerusalem:20241216T163000 DTSTAMP:20250109T093841Z URL:https://math.technion.ac.il/en/events/sum-product-phenomenon-for-sets- of-positive-density-in-the-integer-lattice/ SUMMARY:Sum-product phenomenon for sets of positive density in the integer lattice. DESCRIPTION:Lecturer:Alexander Fish (University of Sydney)\n Location:Amado 232\n We will present a refinement\, developed in collaboration with Bjor klund\, of Furstenberg's ergodic-theoretic approach tailored to addressing the problem of identifying  'twisted infinite patterns’ in positive-d ensity subsets of the integer lattice. These patterns correspond to an inf inite structure within the 'sum-products' formed by such sets. The talk is based on joint work with Bjorklund\, Bulinski\, and Skinner.\n\n \;\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:357@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241217T113000 DTEND;TZID=Asia/Jerusalem:20241217T123000 DTSTAMP:20250109T093841Z URL:https://math.technion.ac.il/en/events/quenched-limits-for-sub-ballisti c-random-walks-in-random-conductances-high-and-low-dimensions/ SUMMARY:Quenched limits for sub-ballistic random walks in random conductanc es: high and low dimensions DESCRIPTION:Lecturer:Carlo Scali (TUM)\n Location:Meyer building (room 861) \n Consider a random walk amongst elliptic conductances with a determinis tic directional bias. Fribergh proved that the walk is ballistic iff the m ean of a conductance is finite. In the infinite mean case\, under proper r egularity conditions\, Fribergh and Kious showed the convergence of the re scaled process towards Fractional Kinetics\, in the annealed setting. I w ill explain how to get a quenched limit by exploiting the classical strate gy of Bolthausen and Sznitman. I will also highlight the difference betwee n the high dimensional case (d \\ge 5) and the lower dimensional ones (d = 2\,3\,4). This is based on joint work with A. Fribergh and T. Lions and ongoing work with T. Lions and U. De Ambroggio.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (room 861) END:VEVENT BEGIN:VEVENT UID:321@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241218T133000 DTEND;TZID=Asia/Jerusalem:20241218T142000 DTSTAMP:20250109T093841Z URL:https://math.technion.ac.il/en/events/michael-simkin/ SUMMARY:Special Lecture: Michael Simkin (MIT) -- Construction\, Counting\, and Finding Structure with Random Processes DESCRIPTION:Lecturer:Michael Simkin\n Location:232 Amado\n Random processes have played a central role in combinatorics since Paul Erdős's "probabil istic revolution" eight decades ago. Traditionally\, such processes are us ed to define a probability space in which an object with desired propertie s is sampled with positive probability\, thereby proving its existence. Dr awing on three case studies\, I will explore how recent advances extend th e utility of random processes beyond existence proofs\, enabling us also t o count and understand the structure of combinatorial objects.\n\n\n\nTo b egin\, I will discuss the construction of high-girth Steiner triple system s\, which proved a 1973 conjecture of Erdős. This builds on Keevash's bre akthrough proof --- combining probability and algebra --- of the existence of designs\, but uses random processes to overcome limitations of the alg ebraic component.\n\n\n\nNext\, I will consider triangle-free graphs. The basic problem is to estimate the number of triangle-free graphs with a spe cified number of vertices and edges. This prototypical forbidden substruct ure problem motivated the development of key tools in probabilistic combin atorics\, essentially solving the problem for graphs that are somewhat spa rse or somewhat dense. However\, the intermediate-density regime\, in whic h triangle-free graphs undergo a phase transition\, remained elusive. I wi ll present the first formula for the number of triangle-free graphs in thi s regime. Crucial to the proof is a random process to sample these graphs. \n\n\n\nFinally\, I will discuss the n-queens problem: In how many ways ca n n queens be placed on an n-by-n chessboard so that no two threaten each other? It turns out that random processes can be used to reduce the combin atorial question to an infinite-dimensional convex optimization problem. T his also sheds light on the typical structure of n-queens configurations.\ n\n \;\n\n \;\n\n \;\n\n \;\n\n \;\n\n \;\n CATEGORIES:Combinatorics Seminar,Faculty Events,Seminars LOCATION:232 Amado END:VEVENT BEGIN:VEVENT UID:345@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241218T153000 DTEND;TZID=Asia/Jerusalem:20241218T163000 DTSTAMP:20250109T093841Z URL:https://math.technion.ac.il/en/events/tba-14/ SUMMARY:Products of unital operator spaces DESCRIPTION:Lecturer:Travis Russell (Texas Christian University)\n Location :Amado 814 and Zoom\n \n\n\n\nGiven a pair of unital subspaces V and W ins ide B(H)\, one can form another unital sub- space by considering the linea r span of all products of the form vw where v is an element of V and w is an element of W. In this talk\, we will abstractly characterize unital sub spaces which arise in this way. We will also consider important "abstract" examples of products of unital operator spaces\, including the Haagerup t ensor product and the commuting tensor product.\n\nThis talk is based on o ngoing joint work with Adam Dor-On.\n\n\n\n\n https://us02web.zoom.us/j/89 193473512 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 and Zoom END:VEVENT BEGIN:VEVENT UID:344@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241219T113000 DTEND;TZID=Asia/Jerusalem:20241219T123000 DTSTAMP:20250109T093841Z URL:https://math.technion.ac.il/en/events/tba-12/ SUMMARY:n-Engel groups for large n DESCRIPTION:Lecturer:Agatha Atkarskaya (HUJI)\n Location:Amado 919\n n-Enge l group is a group that satisfies a group law $[x\, y\, \\ldots y] = 1$\, where $y$ is repeated $n$ times. The following natural question was asked in the 1950s: if such a group is locally nilpotent. For $n \\leq 3$ the an swer is affirmative. For lager $n$ this question seems to be quite delicat e. Namely\, if one adds some extra restrictions together with the n-Engel identity\, the resulting group is indeed locally nilpotent. For example\, finitely generated n-Engel groups that are at the same time residually fin ite\, or solvable are nilpotent. However\, we expect that finitely generat ed free n-Engel groups are not nilpotent for sufficiently large $n$.\n\nTh e Engel problem has a connection with the Burnside problem\, which asks wh ether a finitely generated group with a group law $x^n = 1$ is necessarily finite. The new proof of the Burnside problem that was recently obtained by E. Rips\, K. Tent and myself helps to make progress in the Engel proble m. I will talk about my current progress and difficulties along this way.\ n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:300@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241222T010000 DTEND;TZID=Asia/Jerusalem:20241222T020000 DTSTAMP:20250109T093841Z URL:https://math.technion.ac.il/en/events/the-isomorphism-problem-for-anal ytic-discs-and-the-embedding-dimension-for-complete-pick-spaces/ SUMMARY:The isomorphism problem for analytic discs and the embedding dimens ion for complete Pick spaces DESCRIPTION:Lecturer:\n Location:\n \n CATEGORIES:Graduation Seminars,Seminars END:VEVENT BEGIN:VEVENT UID:353@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem;VALUE=DATE:20241223 DTEND;TZID=Asia/Jerusalem;VALUE=DATE:20241224 DTSTAMP:20250109T093841Z URL:https://math.technion.ac.il/en/events/%d7%9b%d7%a0%d7%a1-%d7%90%d7%91% d7%a8%d7%91%d7%a0%d7%90%d7%9c-%d7%9c%d7%9e%d7%aa%d7%9e%d7%98%d7%99%d7%a7%d 7%94-%d7%a9%d7%99%d7%9e%d7%95%d7%a9%d7%99%d7%aa-%d7%95%d7%97%d7%99%d7%a9%d 7%95%d7%91%d7%99/ SUMMARY:כנס אברבנאל למתמטיקה שימושית וחישוב ית DESCRIPTION:Lecturer:\n Location:\n כנס אברבנאל למתמטיקה שימושית וחישובית הוא הכנס המרכזי בתחום ב ישראל\, ומתקיים אחת לשנתיים באוניברסיטת תל אביב. השנה ייערך הכנס ביום שני 23 בדצמב ר 2024\, ואנו מזמינים אתכם להשתתף בכנס!\nזהו אירוע מיוחד המאפשר להיחשף להרצאות מגוונ ות בנושאים עדכניים במתמטיקה שימושית\, שי ועברו על ידי חברי סגל מובילים מאוניברסיט אות שונות בארץ. בנוסף\, הכנס מהווה הזדמנו ת מצוינת לפגוש סטודנטים וסטודנטיות ממוס דות אקדמיים אחרים.\nחלק ייחודי בכנס השנה הוא הרצאות בזק (Flash Talks) שבהן סטודנטים יצי גו את נושאי המחקר שלהם בפורמט קצר של 3–5 ד קות. פורמט זה\, הנפוץ בכנסים בינלאומיים\, מאפשר שיתוף רעיונות בצורה מרוכזת ומעורר ת עניין.\nתכנית הכנס המלאה זמינה בקישור:\nh ttps://sites.google.com/view/2024abarbanelworkshop/program\nהכנס לל א תשלום\, אך נדרשת הרשמה מראש. להרשמה ולצי ון עניין במתן הרצאת בזק\, היכנסו לקישור ה בא\n: https://sites.google.com/view/2024abarbanelworkshop/registration\n \n CATEGORIES:PDE and Applied Mathematics,Seminars END:VEVENT BEGIN:VEVENT UID:350@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241223T153000 DTEND;TZID=Asia/Jerusalem:20241223T163000 DTSTAMP:20250109T093841Z URL:https://math.technion.ac.il/en/events/the-dry-ten-martini-problem-for- sturmian-schrodinger-operators/ SUMMARY:The Dry Ten Martini Problem for Sturmian Schrödinger Operators DESCRIPTION:Lecturer:Ram Band (Technion)\n Location:Amado 232\n  \;\n\n "Are all gaps there?"\, asked Mark Kac in 1981 during a talk at the AMS an nual meeting\, and offered ten Martinis for the answer.\nThis led Barry Si mon to coin the names the Ten Martini Problem (TMP) and\nthe Dry Ten Marti ni Problem for two related problems concerning the Almost-Mathieu operator .\nThe TMP is about showing that the spectrum of the Almost-Mathieu operat or is a Cantor set.\nThe Dry TMP is about the values that the integrated d ensity of states (IDS) attains at the spectral gaps.\nThe gap labelling th eorem predicts the possible set of values which the IDS may attain at the spectral gaps.\nThe Dry TMP is whether or not all these values are attaine d\, or equivalently\, "are all gaps there?"\n\nWe present an affirmative s olution to the Dry Ten Martini Problem for Sturmian Hamiltonians - this is proven in a joint work with Siegfried Beckus and Raphael Loewy.\n\nIn a j oint work with Gilad Sofer\, we study families of Sturmian operators on me tric and discrete graphs.\nWe present some spectral properties of these op erators.\nIn particular\, we see how their gap labels are characterized an d what would be the corresponding Dry Ten Martini Problem for those.\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:360@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241224T113000 DTEND;TZID=Asia/Jerusalem:20241224T123000 DTSTAMP:20250109T093841Z URL:https://math.technion.ac.il/en/events/on-the-local-convergence-of-rand om-lipschitz-functions-on-a-regular-tree/ SUMMARY:On the local convergence of random Lipschitz functions on a regular tree DESCRIPTION:Lecturer:Yinon Spinka (TAU)\n Location:Meyer building (electric al engeneering)\, room 861\n A Lipschitz function on a graph G is a functi on f:V->\;Z from the vertex set of the graph to the integers which chang es by at most 1 along any edge of the graph. Given a finite connected grap h G\, and fixing the value of the function to be 0 on at least one vertex\ , we may sample such a Lipschitz function uniformly at random. What can we say about the typical height at a vertex? This depends heavily on G. For example\, when G is a path of length n\, and the height at one of the endp oints is fixed to be 0\, this model corresponds to a simple random walk wi th uniform increments in {-1\,0\,1}\, and hence the height at the opposite endpoint of the path is typically of order sqrt(n). In this talk\, we con sider the case when G is a d-regular tree of depth n\, and the height at t he leaves is fixed to 0. Peled\, Samotij and Yehudayoff showed that the he ight at the root of the tree is tight as n grows\, having doubly exponenti ally decaying tails. We study the question of whether the distribution of the height at the root converges as n tends to infinity. It turns out that the answer depends on d\, with a phase transition occurring between d=7 a nd d=8. We explain the reasons for this and outline some details of the pr oof. Joint with Nathaniel Butler\, Kesav Krishnan and Gourab Ray. \n \n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:338@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241225T143000 DTEND;TZID=Asia/Jerusalem:20241225T152000 DTSTAMP:20250109T093842Z URL:https://math.technion.ac.il/en/events/shlomo-hoory-2/ SUMMARY:Shlomo Hoory (Tel Hai) -- Entropy and the growth rate of universal covering trees DESCRIPTION:Lecturer:Shlomo Hoory\n Location:814 Amado\n This work studies the relation between two graph parameters\, rho and Lambda. For an undirec ted graph G\, rho(G) is the growth rate of its universal covering tree\, w hile Lambda(G) is a weighted geometric average of the vertex degree minus one\, corresponding to the rate of entropy growth for the non-backtracking random walk (NBRW). It is well known that rho(G) >\;= Lambda(G) for all graphs\, and that graphs with rho=Lambda exhibit some special properties. \n\nIn this work we derive an easy to check\, necessary and sufficient con dition for the equality to hold. Furthermore\, we show that the variance o f the number of random bits used by a length k NBRW is O(1) if rho=Lambda and Omega(k) if rho >\; Lambda. As a consequence\, we exhibit infinitely many non-trivial examples of graphs with rho=Lambda.\n\nJoint work with I dan Eisner\, Tel-Hai College\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:343@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241226T113000 DTEND;TZID=Asia/Jerusalem:20241226T123000 DTSTAMP:20250109T093842Z URL:https://math.technion.ac.il/en/events/tba-3/ SUMMARY:quasi-isometric embeddings of RAAGs DESCRIPTION:Lecturer:Shaked Bader (Oxford)\n Location:Amado 509\n I will ta lk about rigidity of quasi-isometric embeddings between RAAGs of the same rank. I will focus on the 2-dimensional case. This talk is based on a join t work in progress with Oussama Bensaid and Harry Petyt.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 509 END:VEVENT BEGIN:VEVENT UID:358@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20241226T153000 DTEND;TZID=Asia/Jerusalem:20241226T163000 DTSTAMP:20250109T093842Z URL:https://math.technion.ac.il/en/events/models-of-elliptic-curves-using- model-theory/ SUMMARY:Models of elliptic curves\, using model theory DESCRIPTION:Lecturer:Yatir Halevi ( Ben Gurion University ) \n Location:Ama do 814\n Given a valued field (K\,v) with valuation ring O and an algebrai c group G over K\, a model of G is a group scheme \\mathcal{G} over O for which \\mathcal{G} \\times_O K=G. We exhibit the existence of such models for G an elliptic curve and K an algebraically closed field\, and on the w ay we classify the different group schemes one can get. The proof uses a c ombination of tools from model theory and algebraic geometry.\n\nThe aim o f this talk is to state the theorem and to introduce some of the model-the oretic notions required for the proof.\n\nNo prior knowledge in model theo ry is required\, though a basic course in logic will help.\n\n \;\n\n& nbsp\;\n CATEGORIES:Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:365@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250101T123000 DTEND;TZID=Asia/Jerusalem:20250101T133000 DTSTAMP:20250109T093842Z URL:https://math.technion.ac.il/en/events/%d7%9e%d7%a1%d7%a4%d7%a8%d7%99%d 7%9d-%d7%a8%d7%90%d7%a9%d7%95%d7%a0%d7%99%d7%99%d7%9d-%d7%9e%d7%94-%d7%90% d7%a0%d7%97%d7%a0%d7%95-%d7%9e%d7%a9%d7%a2%d7%a8%d7%99%d7%9d-%d7%9c%d7%92% d7%91%d7%99%d7%94-2/ SUMMARY:מספרים ראשוניים: מה אנחנו משערים לגב יהם\, ומה מזה אנחנו יודעים להוכיח? DESCRIPTION:Lecturer:Ofir Gorodetsky\n Location:Amado 232\n ספרים רא שוניים הם נושא בסיסי בתורת המספרים. למרו ת התפתחות רבה בתחום מאז המאמר המכונן של ר ימן מ-1859\, יש השערות בסיסיות שאנחנו רחוקי ם מלדעת לענות עליהן. חצי הכוס המלאה היא ש אנחנו מסוגלים לנפק תחזיות והשערות מדויק ות לגבי שאלות רבות בתחום.\nנספר על שאלות ב תחום\, למה הן מעניינות\, למה הן קשות\, מה הת שובות שאנחנו מצפים להן\, מה הקשר למטריצות מקריות\, ומה בכל זאת אפשר להוכיח.\n CATEGORIES:Math Club,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:361@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250101T143000 DTEND;TZID=Asia/Jerusalem:20250101T152000 DTSTAMP:20250109T093842Z URL:https://math.technion.ac.il/en/events/omri-ben-eliezer/ SUMMARY:Omri Ben-Eliezer (Technion) -- On the instance optimality of detect ing collisions and subgraphs DESCRIPTION:Lecturer:Omri Ben-Eliezer\n Location:814 Amado\n Suppose you ar e given query access to a function f: [n] ->\; [n] and would like to fin d\, say\, a collision or a fixed point in f. Does knowing the "structure" of the function help with this task? (Here\, by "knowing the structure" we mean that the algorithm is given\, in addition\, an unlabeled copy of the function f.) What about subgraph detection problems in graphs? Does knowi ng the structure of a graph G help\, say\, in finding triangles?\n\n\n\nTh e answer\, as it turns out\, strongly depends on the object we wish to fin d. There are three distinct classes of behavior. For some very simple obje cts\, an algorithm that knows nothing about the input can actually be O(1) -competitive with one "knowing the structure" for all inputs. In most prob lems\, including fixed point detection and triangle finding\, the gap can be as large as polynomial in n. But most interestingly\, there are two pro blems that seem to be "almost instance optimal": collision detection in fu nctions and claw (3-star) detection in graphs. We conjecture both properti es are Theta(log n)-optimal\, prove the lower bound\, and provide initial evidence toward a proof of a matching upper bound.\n\n\n\nJoint work with Tomer Grossman and Moni Naor.\n\n \;\n\n \;\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:370@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250102T123000 DTEND;TZID=Asia/Jerusalem:20250102T133000 DTSTAMP:20250109T093842Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-invita tion-to-probabilistic-number-theory/ SUMMARY:Cable Car Algebra Seminar: Invitation to probabilistic number theor y DESCRIPTION:Lecturer:Ofir Gorodetsky (Technion)\n Location:Technion\, Amado Building\, Room 814\n In this talk I will give a gentle introduction to t he problems studied in probabilistic number theory\, explaining motivation and methods. A particular focus will be given to analogies and connection s with the symmetric group and function field arithmetic. Our starting poi nt will be the Erdős–Kac theorem and by the end of the talk we shall re ach Montgomery's pair correlation conjecture.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:368@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250102T133000 DTEND;TZID=Asia/Jerusalem:20250102T143000 DTSTAMP:20250109T093842Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-centra lizers-of-rank-one-in-the-first-weyl-algebra/ SUMMARY:Cable Car Algebra Seminar: Centralizers of rank one in the first We yl algebra DESCRIPTION:Lecturer:Leonid Makar-Limanov (Wayne)\n Location:Technion\, Ama do Building\, Room 814\n One of the most popular noncommutative algebras i s the first Weyl algebra. Do not worry if you do not remember what it is\, I’ll remind you the definition. Since it is not commutative\, centraliz ers of non central elements i.e. elements which commute with a given eleme nt\, are proper subalgebras.\nThese subalgebras are the subject of the tal k.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:359@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250106T123000 DTEND;TZID=Asia/Jerusalem:20250106T133000 DTSTAMP:20250109T093842Z URL:https://math.technion.ac.il/en/events/exponential-volume-limits/ SUMMARY:Exponential volume limits DESCRIPTION:Lecturer:Snir Ben Ovadia (PSU)\n Location:Amado 814\n We prove that when the pushed volume of a closed manifold converges exponentially f ast to a measure\, then the limiting measure is an SRB measure.\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:366@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250106T153000 DTEND;TZID=Asia/Jerusalem:20250106T163000 DTSTAMP:20250109T093842Z URL:https://math.technion.ac.il/en/events/ruijsenaars-hyperbolic-system/ SUMMARY:Ruijsenaars hyperbolic system. DESCRIPTION:Lecturer:Sergey Khoroshkin (Technion and HSE Moscow)\n Location :Amado 232\n We review recent progress in the study of a famous quantum in tegrable system. Its limits and particular cases such as Calogero – Suth erland\, Toda systems are well known and are studied for many years. Analy tical continuation of Ruijsenaars system leads to Macdonald operators and the theory of Macdonald symmetric polynomials. Ruijsenaars hyperbolic syst em itself can be also explicitly solved by the methods which differ much f rom commonly used algebraic machinery and finally leads to a distinguished multivariable generalization of Fourier transform.\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:380@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250107T113000 DTEND;TZID=Asia/Jerusalem:20250107T123000 DTSTAMP:20250109T093843Z URL:https://math.technion.ac.il/en/events/charge-fluctuations-in-the-hiera rchical-coulomb-gas/ SUMMARY:Charge fluctuations in the hierarchical Coulomb gas DESCRIPTION:Lecturer:Alon Nishry (TAU)\n Location:Meyer building (electrica l engeneering)\, room 861\n The two-dimensional One-Component Plasma (OCP) is a Coulomb system that consists of identical\, electrically charged\, p articles embedded in a uniform background of the opposite charge\, interac ting through a logarithmic potential\, and kept at a fixed temperature. In the 90s\, Jancovici\, Lebowitz and Manificat discovered a law for the pro babilities of observing large charge fluctuations in the OCP (beyond the c onjectured CLT). Mathematically\, this law has been fully proved only for one special value of the temperature (corresponding to the eigenvalues of the Ginibre random matrix ensemble). A few years ago\, Chatterjee introduc ed a hierarchical version of the OCP\, inspired by Dyson's hierarchical mo del of the Ising ferromagnet. I'll sketch the proof of the JLM law for the hierarchical Coulomb model at any finite positive temperature. Based on a joint work with Oren Yakir (arXiv:2403.03603). \n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:377@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250108T123000 DTEND;TZID=Asia/Jerusalem:20250108T133000 DTSTAMP:20250109T093843Z URL:https://math.technion.ac.il/en/events/%d7%aa%d7%97%d7%a8%d7%95%d7%aa-% d7%97%d7%93%d7%95%d7%b4%d7%90-%d7%91%d7%99%d7%9f-%d7%90%d7%95%d7%a0%d7%99% d7%91%d7%a8%d7%a1%d7%99%d7%98%d7%90%d7%99%d7%aa/ SUMMARY:תחרות חדו״א בין-אוניברסיטאית DESCRIPTION:Lecturer:ד״ר אלון דמיטריוק (הטכניון)\, ד ״ר יוחאי מעין (אוניברסיטת תל אביב והטכני ון)\, אנה פרילוצקי (הטכניון)\n Location:אמאדו 232 + ZOOM\n תקציר: לפני כשבועיים התקיימה לראשו נה תחרות בין קורס חדו״א בטכניון לבין קור ס חדו״א מקביל באוניברסיטת תל אביב. בהרצא ה זו נספר על ההכנות לארוע\, על הארוע עצמו\, ומחשבות לעתיד\n\nעד כמה ההיבט התחרותי והנ יצחון היו משמעותיים? או שכולם נהנו מעצם ה השתתפות? האם התחרות היתה שקולה? האם יש הי בטים שאפשר לשפר או לשדרג?\n\nנדבר על כל אלה וכמובן על הזוכים בתחרות: הזוכה הגדולה\, א נה פרילוצקי\, תגיע לספר על החוויה מהצד של ה ותשמח גם לענות על שאלות.\n https://technion.zoom.us/ j/99459766967 CATEGORIES:Seminars,Teaching Seminar LOCATION:אמאדו 232 + ZOOM END:VEVENT BEGIN:VEVENT UID:371@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250108T133000 DTEND;TZID=Asia/Jerusalem:20250108T143000 DTSTAMP:20250109T093843Z URL:https://math.technion.ac.il/en/events/dimension-of-self-similar-fracta ls-on-the-line/ SUMMARY:Dimension of self-similar fractals on the line DESCRIPTION:Lecturer:Zhou Feng (Technion)\n Location:Faculty Lounge 8th flo or Amado\n \n\n\n\n\nSelf-similar sets and measures are an important famil y of dynamically-driven fractals\, and it is a fundamental problem in frac tal geometry to determine their dimensions. About this problem\, there is a folklore conjecture called the exact overlaps conjecture. In this talk\, we will introduce the recent progress on this conjecture in a gentle way\ , and present our results towards it. This is based on joint work with De- Jun Feng.\n\n\n\n\n\n CATEGORIES:Pizza Seminar,Seminars LOCATION:Faculty Lounge 8th floor Amado END:VEVENT BEGIN:VEVENT UID:372@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250108T143000 DTEND;TZID=Asia/Jerusalem:20250108T152000 DTSTAMP:20250109T093843Z URL:https://math.technion.ac.il/en/events/gal-beniamini-3/ SUMMARY:Gal Beniamini (HUJI) — The Rank-Ramsey Problem and the Log-Rank C onjecture DESCRIPTION:Lecturer:Gal Beniamini\n Location:814 Amado\n A graph is called Rank-Ramsey if (i) Its clique number is small\, and (ii) The adjacency ma trix of its complement has small rank. We initiate a systematic study of s uch graphs. Our main motivation is that their constructions\, as well as p roofs of their non-existence\, are intimately related to the famous log-ra nk conjecture from the field of communication complexity. In this talk we will present two new constructions of Rank-Ramsey graph families\, exhibit ing polynomial separation between order and complement rank. The first fam ily are subgraphs of certain strong products\, whose building blocks are d erived from triangle-free strongly-regular graphs. The second family are o btained by applying Boolean functions to Erdős-Rényi graphs. We will als o consider lower bounds on the Rank-Ramsey numbers\, and determine them in the range where the complement rank is 5 or less. Joint work with Nati Li nial and Adi Shraibman.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:364@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250109T123000 DTEND;TZID=Asia/Jerusalem:20250109T133000 DTSTAMP:20250109T092952Z URL:https://math.technion.ac.il/en/events/demushkin-groups-of-infinite-ran k-in-galois-theory/ SUMMARY:Demushkin groups of infinite rank in Galois theory DESCRIPTION:Lecturer:Tamar Bar-On\n Location:Amado 814\n One of the most in teresting open questions in Galois theory these days is: Which profinite g roups can be realized as absolute Galois groups of fields?\n\nRestricting our focus to the one-prime case\, we begin with a simpler question: which pro-p groups can be realized as maximal pro-p Galois groups of fields?\n\n For the finitely generated case over fields that contain a primitive root of unity of order p\, we have a comprehensive conjecture\, known as the El ementary Type Conjecture by Ido Efrat\, which claims that every f.g.  pro -p group which can be realized as a maximal pro-p Galois group of a field containing a primitive root of unity of order p\, can be constructed from  free pro-p groups and f.g Demushkin groups\,  using free pro-p products and a certain semi-direct product.\n\nThe main objective of the presented work is to investigate the class of infinitely-ranked pro-p groups  whi ch can be realized as maximal pro-p Galois groups. Inspired by the Element ary Type Conjecture\, we start our research with 2 main directions:\n\n G eneralizing the definition of Demushkin groups to arbitrary rank and study ing their realization as absolute/ maximal pro-p Galois groups.\n Invest igating the possible realization of a free (pro-p) product  of infinitely many absolute Galois groups.\n\nIn this talk we focus mainly on the secon d direction. In particular\, we give a necessary and sufficient condition for a restricted free product of countably many Demushkin groups of infini te countable rank\, to be realized as an absolute Galois group.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:378@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250109T123000 DTEND;TZID=Asia/Jerusalem:20250109T133000 DTSTAMP:20250109T092953Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-demush kin-groups-of-infinite-rank-in-galois-theory/ SUMMARY:Cable Car Algebra Seminar: Demushkin groups of infinite rank in Gal ois theory DESCRIPTION:Lecturer:Tamar Bar-On (Oxford)\n Location:Technion\, Amado Buil ding\, Room 814\n One of the most interesting open questions in Galois the ory these days is: Which profinite groups can be realized as absolute Galo is groups of fields?\nRestricting our focus to the one-prime case\, we beg in with a simpler question: which pro-p groups can be realized as maximal pro-p Galois groups of fields?\n\nFor the finitely generated case over fie lds that contain a primitive root of unity of order p\, we have a comprehe nsive conjecture\, known as the Elementary Type Conjecture by Ido Efrat\, which claims that every f.g. pro-p group which can be realized as a maxima l pro-p Galois group of a field containing a primitive root of unity of or der p\, can be constructed from free pro-p groups and f.g Demushkin groups \, using free pro-p products and a certain semi-direct product.\n\nThe mai n objective of the presented work is to investigate the class of infinitel y-ranked pro-p groups which can be realized as maximal pro-p Galois groups . Inspired by the Elementary Type Conjecture\, we start our research with 2 main directions:\n1. Generalizing the definition of Demushkin groups to arbitrary rank and studying their realization as absolute/ maximal pro-p G alois groups.\n2. Investigating the possible realization of a free (pro-p) product of infinitely many absolute Galois groups.\n\nIn this talk we foc us mainly on the second direction. In particular\, we give a necessary and sufficient condition for a restricted free product of countably many Demu shkin groups of infinite countable rank\, to be realized as an absolute Ga lois group.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:379@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250109T133000 DTEND;TZID=Asia/Jerusalem:20250109T143000 DTSTAMP:20250109T092953Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-the-un its-of-algebraic-k-theory/ SUMMARY:Cable Car Algebra Seminar: The units of algebraic K-theory DESCRIPTION:Lecturer:Shahar Carmely (Weizmann)\n Location:Technion\, Amado Building\, Room 814\n Algebraic K-theory assigns to a ring R a sequence of abelian groups K_i(R)\, measuring the complexity of the category of proje ctive R-modules. The individual groups K_i(R) are the homotopy groups of a homotopical gadget called the K-theory spectrum K(R)\, which encodes extr a gluing data between the different groups. When R is a commutative ring\, the spectrum K(R) admits the structure of commutative ring spectrum\, whi ch homotopically encodes the tensor product operation on projective R-modu les. As in classical algebra\, a commutative ring spectrum S has a spectru m of units\, or invertible elements\, gl_1(S).\nIn my talk\, I will discus s a joint work with Kiran Luecke in which we study the spectra of the form gl_1(K(R)) for commutative rings R. Among other things we show that\, Zar iski locally\, the first two homotopy groups of gl_1(K(R)) are not glued t o the rest\, so that gl_1(K(R)) splits into a product of a spectrum which has only zero and first non-trivial homotopy groups with a simply connecte d spectrum.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:376@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250109T133000 DTEND;TZID=Asia/Jerusalem:20250109T143000 DTSTAMP:20250109T092953Z URL:https://math.technion.ac.il/en/events/the-units-of-algebraic-k-theory/ SUMMARY:The units of algebraic K-theory DESCRIPTION:Lecturer:Shahar Carmely (Weizmann)\n Location:Amado 814\n Algeb raic K-theory assigns to a ring R a sequence of abelian groups K_i(R)\, me asuring the complexity of the category of projective R-modules. The indivi dual groups K_i(R) are the homotopy groups of a homotopical gadget called the K-theory spectrum K(R)\, which encodes extra gluing data between the d ifferent groups. When R is a commutative ring\, the spectrum K(R) admits t he structure of commutative ring spectrum\, which homotopically encodes th e tensor product operation on projective R-modules. As in classical algebr a\, a commutative ring spectrum S has a spectrum of units\, or invertible elements\, gl_1(S).\nIn my talk\, I will discuss a joint work with Kiran L uecke in which we study the spectra of the form gl_1(K(R)) for commutative rings R. Among other things we show that\, Zariski locally\, the first tw o homotopy groups of gl_1(K(R)) are not glued to the rest\, so that gl_1(K (R)) splits into a product of a spectrum which has only zero and first non -trivial homotopy groups with a simply connected spectrum.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:367@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250113T153000 DTEND;TZID=Asia/Jerusalem:20250113T163000 DTSTAMP:20250109T092953Z URL:https://math.technion.ac.il/en/events/adhm-spaces-and-their-quantizati ons/ SUMMARY:ADHM spaces and their quantizations DESCRIPTION:Lecturer:Vasily Krylov (Harvard University)\n Location:Amado 23 2\n In their paper "Construction of Instantons\," Atiyah\, Drinfeld\, Hitc hin\, and Manin introduced an algebraic construction of the moduli space o f instantons on R^4\, now also known as the "ADHM space." This is a Poisso n complex variety\; it has been actively studied by both mathematicians an d physicists. In this talk\, I will review the ADHM construction\, present examples\, and discuss various geometric and algebraic properties of ADHM spaces. I will also describe natural quantizations of these Poisson varie ties. I will explain a joint result with Etingof\, Losev\, and Simental\, providing explicit formulas for the dimensions and characters of all finit e-dimensional representations of these quantizations. Time permitting\, I will discuss an application of our result to combinatorics and the connect ion of this story to knot invariants.\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:387@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250114T113000 DTEND;TZID=Asia/Jerusalem:20250114T123000 DTSTAMP:20250113T194018Z URL:https://math.technion.ac.il/en/events/tba-22/ SUMMARY:Reduction theory in the non-stationary setup DESCRIPTION:Lecturer:Yeor Hafouta (University of Florida)\n Location:Meyer building (electrical engeneering)\, room 861\n The central limit theorem ( CLT) is one of the main results in probability theory. Its local version (LCLT) has origins in the De Moivre-Laplace theorem and it precedes it i n that sense.\nFor partial sums of certain classes of stationary processe s the LCLT is tied up with reducibility of stochastic processes to lattice valued random variables. By now results in the stationary case are class ical and they rely on the behavior of the spectrum of the appropriate sem igroup of operators.\nFor uniformly elliptic of inhomogeneous Markov chai ns the LCLT problem was "solved" recently by D. Dolgopyat and O. Sarig (p artially motivated by problems in dynamics). In the talk we will discuss the corresponding theory for a wide class of non-stationary dynamical syst ems and discuss applications.\nAs will be discussed\, the reducibility the ory has an additional ingredient in the non-stationary setup.\n\nBased on a joint work with Dmitry Dolgopyat.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:375@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250115T123000 DTEND;TZID=Asia/Jerusalem:20250115T133000 DTSTAMP:20250109T092953Z URL:https://math.technion.ac.il/en/events/mixing-time-for-powers-of-random -elements/ SUMMARY:Uniform L-infinity mixing time for powers of random elements of com pact Lie groups DESCRIPTION:Lecturer:Saar Bader (Technion)\n Location:Amado 814\n Eric Rain s proved surprising results about the distribution of Xp where X is a Haar -distributed random element of a compact Lie group and p is a natural numb er. For example\, when X is a random unitary matrix of size n\, the eigenv alues of Xp are distributed like the eigenvalues of p independent random u nitary matrices of sizes ≈ n/p. We use these results to prove bounds on the Fourier coefficients of the distribution of Xp. As an application\, we prove a dimension-independent mixing result. Namely\, we show that for ev ery p there is some natural t\, such that the product of t independent ran dom p-powers in every compact connected Lie group is approximately uniform (measured in the L∞-distance).\n CATEGORIES:Graduation Seminars,Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:388@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250115T140000 DTEND;TZID=Asia/Jerusalem:20250115T150000 DTSTAMP:20250113T061558Z URL:https://math.technion.ac.il/en/events/the-next-generation-cayleynet/ SUMMARY:The Next Generation CayleyNet DESCRIPTION:Lecturer:Yuanchen Zhou \n Location:Amado 8th floor - Meetings r oom \n Graph Neural Networks (GNNs) extend deep learning techniques to non -Euclidean domains\, designed specifically to process node\, edge\, and st ructural information in graph-structured data. Spectral Graph Neural Netwo rks (Spectral GNNs) leverage the spectral decomposition of the graph Lapla cian to extract both global and local features in the frequency domain. Bu ilding upon the foundational CayleyNet framework\, we propose the Next Gen eration CayleyNet. Our model introduces the second spectral zoom parameter a； the original spectral zoom parameter h determines the extent of spec tral magnification\, controlling the resolution of the target frequency ba nd\, while the newly introduced a defines the focal point within the spect rum. Through the synergistic use of these parameters\, the model enables m ulti-scale feature extraction and enhances its capability for localized sp ectral analysis. Additionally\, we explore alternative numerical implement ations of the Cayley shift operator\, including the Lanczos method\, which facilitates the storage of eigen decomposition results. This capability i s particularly advantageous for large-scale graphs\, as it allows efficien t reuse of spectral information during filtering.\n\nAdvisor: Dr. Ron Levi e\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 8th floor - Meetings room END:VEVENT BEGIN:VEVENT UID:374@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250115T143000 DTEND;TZID=Asia/Jerusalem:20250115T152000 DTSTAMP:20250109T092953Z URL:https://math.technion.ac.il/en/events/eden-kuperwasser/ SUMMARY:Eden Kuperwasser (Tel Aviv) - On the anti-Ramsey threshold DESCRIPTION:Lecturer:Eden Kuperwasser\n Location:814 Amado\n We say that a graph G is anti-Ramsey for a graph H if any proper edge-colouring of G yie lds a rainbow copy of H\, i.e.\, a copy of H whose edges all receive diffe rent colours. In this talk we will determine the threshold at which the bi nomial random graph becomes anti-Ramsey for any fixed graph H\, given that H is sufficiently dense. This extends the previously known cases where H is a clique\, a cycle\, or close to a regular graph with sufficiently many vertices. Our proof employs a graph decomposition lemma in the style of t he Nine Dragon Tree theorem that may be of independent interest.\n\n\n\n&n bsp\;\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:347@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250115T153000 DTEND;TZID=Asia/Jerusalem:20250115T163000 DTSTAMP:20250109T092953Z URL:https://math.technion.ac.il/en/events/tba-16/ SUMMARY:The noncommutative Choquet boundary and approximation theory DESCRIPTION:Lecturer:Ian Thompson (University of Copenhagen)\n Location:Ama do 814 and Zoom\n \n\n\n\nBeginning in the 60s\, Arveson wrote a massively influential series of papers on subspaces of C*-algebras. A prominent foc us of their papers was a proposed non-commutative formulation of the Choqu et boundary. Since then\, several watershed moments found this boundary to be key to uncovering intrinsic structural attributes for an operator spac e.\n\nAt its core\, Arveson’s boundary theory brings forth a link betwee n operator spaces and C*-algebras. Combining with the wealth of structural results available for C*-algebras\, this has introduced new depths to ope rator space theory. Here\, I address a conjecture from one of Arveson’s final papers on this boundary and its connections to approximation theory. This is based on joint work with Raphael Clouatre.\n\n\n\n\n https://us02 web.zoom.us/j/89193473512 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 and Zoom END:VEVENT BEGIN:VEVENT UID:384@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250120T123000 DTEND;TZID=Asia/Jerusalem:20250120T133000 DTSTAMP:20250115T160650Z URL:https://math.technion.ac.il/en/events/extravagance/ SUMMARY:Extravagance\, irrationality and Diophantine approximation DESCRIPTION:Lecturer:Jon Aaronson (TAU)\n Location:Amado 814\n \n\nDiophant ine approximation of irrationals is connected with the asymptotics  of th e Gauss transformation. For an invariant probability measure for the Gauss map\, almost all numbers are Diophantine (i.e.\, irrationality exponent=2 ) if the log of the partial quotient function is integrable.\n\nWe show th at with respect to a continued fraction mixing measure for the Gauss map w ith the log of the partial quotient function non-integrable\, almost all n umbers are Liouville (i.e.\, irrationality exponent infinite).\n\nTime per mitting\, we'll also exhibit Gauss-invariant\, ergodic measures with arbit rary irrationality exponent and prove a Khinchin-type theorem for weak Ren yi measures.\n\n\nThe proofs are via  the "extravagance'' of non-negative stationary processes.\nWork in progress with Hitoshi Nakada. See arXiv:24 09.19393 for preliminary version.\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:390@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250121T113000 DTEND;TZID=Asia/Jerusalem:20250121T123000 DTSTAMP:20250120T111638Z URL:https://math.technion.ac.il/en/events/rigidity-beyond-the-generic-sett ing/ SUMMARY:Rigidity\, Beyond the Generic Setting DESCRIPTION:Lecturer:Elad Tzalic (Weizmann)\n Location:Meyer building (elec trical engeneering)\, room 861\n For a set S of n points in R^d\, their pa irwise distances determine their locations up to symmetry.\nRigidity\, in a nutshell\, says that when points are in general positions\, a small frac tion of (carefully chosen) distances determines the rest.\nIn the talk\, w e will discuss what can be achieved without assuming general position. Let P denote the set of pairs in S for which the distance is known\, we consi der two contrasting scenarios when d=1: (1) P is arbitrary\, and (2) P is random.\nI’ll describe recent works and directions\, as well as the case d>\;1.\n \nBased on joint work with Itai Benjamini.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:324@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250121T133000 DTEND;TZID=Asia/Jerusalem:20250121T143000 DTSTAMP:20250109T092954Z URL:https://math.technion.ac.il/en/events/so-what-are-stresses-some-mathem atical-aspects-of-stress-theory/ SUMMARY:So\, what are Stresses? Some Mathematical Aspects of Stress Theory DESCRIPTION:Lecturer:Prof. Reuven Segev\, Department of Mechanical Engineer ing\, BGU\n Location:Amado 814\n Stress tensors are used in strength analy sis of structures\, fluid dynamics\, electromagnetism\, and general relati vity. Yet\, from the theoretical point of view\, the stress tensor object is not a primitive one. It is derived on the basis of some physically moti vated mathematical assumptions. Following a short introduction to the fund amentals of the classical theory\, we will present a formulation of stress theory on general differentiable manifolds\, devoid of any particular Rie mannian metric. The basic mathematical object is the configuration space-- -the Banach manifold of k-times continuously differentiable sections of a fiber bundle over a compact base manifold---the material body. The choice of topology is natural so that the set of embeddings of the body manifold in a space manifold is open in the manifold of all mappings. Forces are de fined to be elements of the cotangent bundle of the configuration space an d their action on virtual velocities---elements of the tangent bundle---is interpreted physically as virtual power. Stresses and hyper-stresses emer ge naturally from a representation theorem as measures\, valued in the dua l bundles of some jet bundles\, which represent forces.\n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:389@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250122T133000 DTEND;TZID=Asia/Jerusalem:20250122T143000 DTSTAMP:20250119T093109Z URL:https://math.technion.ac.il/en/events/unlikely-phenomena-for-the-fibon acci-sequence/ SUMMARY:Unlikely phenomena for the Fibonacci sequence DESCRIPTION:Lecturer:Adi Ostrov (Bar Ilan)\n Location:Faculty Lounge 8th fl oor Amado\n \n\n\n\n\nWhich polynomials p(x) in Q[x] attain values in the Fibonacci sequence F_n infinitely often?\n\nThe philosophy of unlikely int ersections suggests that there should be very few such polynomials\, if an y.\n\nIn this lecture I will give the list of all such polynomials and all such rational functions.\n\nMoreover\, I will discuss and present results for a related problem of reducibility: for which irreducible polynomials P(t\, x) in Q(t)[x] are the specialized polynomials P(F_n\, x) in Q[x] red ucible for infinitely many n's?\n\nThis lecture is based on my master's th esis under the supervision of Danny Neftin and Eyal Subag\, and on joint w ork with Avi Berman and Reyad Abed Elrazik.\n\n\n\n\n\n CATEGORIES:Pizza Seminar,Seminars LOCATION:Faculty Lounge 8th floor Amado END:VEVENT BEGIN:VEVENT UID:373@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250122T143000 DTEND;TZID=Asia/Jerusalem:20250122T152000 DTSTAMP:20250109T092954Z URL:https://math.technion.ac.il/en/events/asaf-cohen-antonir/ SUMMARY:Asaf Cohen Antonir (Tel Aviv) — Weak saturation and collapsible c omplexes in a random graph DESCRIPTION:Lecturer:Asaf Cohen Antonir\n Location:814 Amado\n Let H\, G be two graphs. A spanning subgraph G’ of G is called weakly H-saturated if the following holds: one can add to G' the edges of G \\ G’ in some ord er so that whenever a new edge is added\, a new copy of H is formed. Obtai ning lower bounds for the size of such a G’ (for various H and G) is a c lassical problem in extremal combinatorics. In particular\, in the past 40 years\, various algebraic tools have been used in order to prove such low er bounds.\n\n\n\nOur first contribution in this work unravels a new algeb raic/topological connection which can be used in order to prove the follow ing result. Let w-sat(t\,G) be the size of a smallest weakly K_t-saturatin g subgraph of G. Korándi and Sudakov asked to determine the threshold pro bability for the property that w-sat(t\,G(n\,p))=w-sat(t\,K_n). Using our new observation\, in the case t=3\, we show that the threshold probability is located at p=n^{-1/3 +/- o(1)}. Moreover\, using an argument inspired by Gromov's `local to global' theorem\, we determine\, up to a multiplicat ive constant factor\, the threshold probability for a bounded diameter ver sion of the theorem.\n\n\n\nInterestingly\, our new connection between wea k saturation and topological properties goes both ways since it also enabl es us to use combinatorial arguments in order to obtain new results concer ning topological properties of random clique complexes.\nIn particular\, w e obtain a new upper bound on the threshold probability for simple connect ivity of the 2-dimensional clique complex of G(n\,p)\, improving a result of Kahle.\n\n\n\nJoint work with Yuval Peled\, Asaf Shapira\, Mykhaylo Tyo mkyn\, and Maksim Zhukovskii.\n\n \;\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:385@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250122T153000 DTEND;TZID=Asia/Jerusalem:20250122T163000 DTSTAMP:20250121T055519Z URL:https://math.technion.ac.il/en/events/tba-20/ SUMMARY:Rigid versus proximal actions and the classification of intermediat e algebras of crossed products DESCRIPTION:Lecturer:Yair Glasner (Ben-Gurion University)\n Location:Amado 814 and Zoom\n \n\n\n\nSee abstract here: https://adoronmath.wordpress.com /wp-content/uploads/2025/01/abstract_glasner.pdf\n\n \;\n\n\n\n\n http s://us02web.zoom.us/j/89193473512 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 and Zoom END:VEVENT BEGIN:VEVENT UID:383@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250127T123000 DTEND;TZID=Asia/Jerusalem:20250127T133000 DTSTAMP:20250128T092521Z URL:https://math.technion.ac.il/en/events/diophantine-properties-of-sudler -products/ SUMMARY:Diophantine properties of Sudler products DESCRIPTION:Lecturer:Dmitry Gayfulin (Technion)\n Location:Amado 814\n For a real number α and a natural number N\, the Sudler product at stage N is defined as\n\nPN(α) = ∏1≤r≤N 2 |sin πrα| .\n\nIn my talk\, I wi ll focus on the asymptotics of PN(α) as N → ∞.\nIt is known that limi nf PN(α) = 0 for almost all α\, including all well approximable α. Howe ver\, like in many cases in the Diophantine approximation\, the most inter esting situation is when α is badly approximable\,\ni.e.\, all partial qu otients of its continued fraction expansion are uniformly\nbounded from ab ove. The result in this direction was obtained by Verschueren\nand indepen dently by Grepstad\, Kaltenböck\, and Neumüller. They showed\nthat for α = [0\; 1\, 1\, 1\, . . .] = (√5+1)/2 one has liminf PN(α) >\; 0.\n \nI will survey results in this area and explain how the\nbehaviour of PN( α) depends on the Diophantine properties of α. I will also\nspeak about my recent joint result with Manuel Hauke devoted to the set of\nα such th at liminf PN(α) >\; 0.\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:334@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250128T133000 DTEND;TZID=Asia/Jerusalem:20250128T143000 DTSTAMP:20250109T092954Z URL:https://math.technion.ac.il/en/events/surface-diffusion-some-new-resul ts-and-approaches/ SUMMARY:Surface Diffusion: Some new results and approaches DESCRIPTION:Lecturer:Amy Novick-Cohen\n Location:Amado 814\n \n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:393@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250129T123000 DTEND;TZID=Asia/Jerusalem:20250129T133000 DTSTAMP:20250124T133225Z URL:https://math.technion.ac.il/en/events/%d7%94%d7%9e%d7%aa%d7%9e%d7%98%d 7%99%d7%a7%d7%94-%d7%a9%d7%9c-%d7%a2%d7%a8%d7%91%d7%95%d7%91%d7%99-%d7%a7% d7%9c%d7%a4%d7%99%d7%9d/ SUMMARY:המתמטיקה של ערבובי קלפים DESCRIPTION:Lecturer:Itay Glazer (Technion)\n Location:Amado 232\n \nנני ח שבידכם חבילה של 52 קלפי משחק. כמה פעמים צ ריך לערבב אותה כדי שהיא תהיה מספיק אקראי ת?\nמסתבר ששאלה תמימה זו\, לאחר שמגדירים א ותה בצורה מדוייקת\, טומנת בתוכה עולם מתמט י עשיר במיוחד. בהרצאה זו נראה מתי ערבוב ק לפים הוא "מספיק אקראי"\, ננתח את האפקטיביו ת של שיטות ערבוב קלפים שונות\, ונראה איך כ ל זה קשור לתורת ההצגות של חבורת הפרמוטצי ות על 52 איברים.\n\n CATEGORIES:Math Club,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:392@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250129T143000 DTEND;TZID=Asia/Jerusalem:20250129T152000 DTSTAMP:20250125T195833Z URL:https://math.technion.ac.il/en/events/tom-waknine/ SUMMARY:Tom Waknine (Technion) — On Reductions of Learning Problems and the Borsuk-Ulam theorem DESCRIPTION:Lecturer:Tom Waknine\n Location:814 Amado\n Many practical pred iction algorithms represent inputs in Euclidean space and replace the disc rete 0/1 classification loss with a real-valued surrogate loss\, effective ly reducing classification tasks to stochastic optimization. In this talk\ , I will explore the expressiveness of such reductions in terms of key res ources. I will formally define a general notion of reductions between lear ning problems\, and relate it some well known examples such as representat ions by half-spaces.\n\n\n\nI will then establish bounds on the minimum Eu clidean dimension D required to reduce a concept class with VC dimension d to a Stochastic Convex Optimization (SCO) problem in a D dimensional Eucl idean space. This result provides a formal framework for understanding the intuitive interpretation of the VC dimension as the number of parameters needed to learn a given class.\n\n\n\nThe proof leverages a clever applica tion of the Borsuk-Ulam theorem\, illustrating an interesting connection b etween topology and learning theory.\n\n\n\n \;\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:386@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250129T153000 DTEND;TZID=Asia/Jerusalem:20250129T163000 DTSTAMP:20250126T093210Z URL:https://math.technion.ac.il/en/events/tba-21/ SUMMARY:The ideal intersection property for partial reduced crossed product s DESCRIPTION:Lecturer:Larissa Kroell (University of Waterloo)\n Location:Ama do 814 and Zoom\n Given a C*-dynamical system\, a fruitful avenue to study its properties has been to study the dynamics on its injective envelope. This approach relies on the result of Kalantar and Kennedy (2017)\, who sh ow that C*-simplicity can be characterized via the Furstenberg boundary us ing G-injective envelope techniques. In this talk\, we will discuss conseq uences of this idea for partial C*-dynamical systems. In particular\, we i ntroduce partial G-injective envelopes and generalize techniques for ordin ary C*-dynamical systems given in Kennedy and Schafhauser (2019) to partia l C*-dynamical systems. As an application of this machinery\, we give a ch aracterization of the ideal intersection property for partial C*-dynamical systems. This is joint work with Matthew Kennedy and Camila Sehnem.\n htt ps://us02web.zoom.us/j/89193473512 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 and Zoom END:VEVENT BEGIN:VEVENT UID:395@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250130T113000 DTEND;TZID=Asia/Jerusalem:20250130T123000 DTSTAMP:20250130T071951Z URL:https://math.technion.ac.il/en/events/hyperbolicity-of-orbits-in-anoso v-flows/ SUMMARY:Hyperbolicity of orbits in Anosov flows DESCRIPTION:Lecturer:Tali Pinsky (Technion)\n Location:Amado 919\n A period ic orbit of the geodesic flow on a hyperbolic surface can be seen as a kno t in the unit tangent bundle to that surface. It is a classical result tha t if the orbit is filling\, i.e. it intersects any essential closed curve on the surface\, its complement is a hyperbolic 3-manifold. We will show t hat in fact a much more general result holds\; A filling closed orbit of a ny Anosov flow with orientable foliations has a hyperbolic complement. Fil ling in this context would mean that the orbit intersects any essential to rus.\nJoint with Sergio Fenley and Mario Shannon\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:394@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250203T123000 DTEND;TZID=Asia/Jerusalem:20250203T133000 DTSTAMP:20250128T123250Z URL:https://math.technion.ac.il/en/events/quasi-isometric-classification-o f-solvable-lie-groups/ SUMMARY:Sublinear distortion and quasi-isometric classification of solvable Lie groups DESCRIPTION:Lecturer:Ido Graevsky (BGU)\n Location:Ulman 102\n Cornulier co njectured that two completely solvable Lie groups are quasi-isometric (QI) if and only if they are isomorphic. This is a very difficult and very ope n problem. In this talk I will present some of the structure theory of sol vable Lie groups and focus on the importance of sublinear distortions to t his theory. I will present recent results that contribute to their QI clas sification\, which are interesting (also) because they are based on a (sub linear) weak form of QI. In addition\, I hope to review some of the import ant work of Cornulier and Tessera on Dehn functions.\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Ulman 102 END:VEVENT BEGIN:VEVENT UID:396@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250203T153000 DTEND;TZID=Asia/Jerusalem:20250203T163000 DTSTAMP:20250130T063526Z URL:https://math.technion.ac.il/en/events/finding-structure-in-high-dimens ional-data/ SUMMARY:Finding structure in high dimensional data DESCRIPTION:Lecturer:\n Location:Boaz Nadler (Weizmann Institute)\n A funda mental task in the analysis of data is to detect and estimate interesting "structures" hidden in it. In low dimensions\, this task has been explored for over 100 years with dozens of developed methods. In this talk I'll fo cus on aspects of this problem for high dimensional data\, where each obse rved sample has many coordinates\, and the number of samples is limited. W e will show how in such cases: (i) standard methods to detect structure in high dimensions may not work well \; (ii) how the notion of sparsity can come to the rescue\, albeit it brings with it significant mathematical\, s tatistical and computational challenges.\n CATEGORIES:Colloquium,Seminars LOCATION:Boaz Nadler (Weizmann Institute) END:VEVENT BEGIN:VEVENT UID:362@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250205T153000 DTEND;TZID=Asia/Jerusalem:20250205T163000 DTSTAMP:20250130T090528Z URL:https://math.technion.ac.il/en/events/on-the-fixed-point-structure-of- local-cptp-maps/ SUMMARY:On the fixed point structure of local CPTP maps DESCRIPTION:Lecturer:Raz Firanko (Technion-IIT)\n Location:Amado 234 and Zo om\n \n\n\n\nThis talk will take place in person at the Technion in Amad o room #234 (note the unusual room!)\, and we will also broadcast the ta lk over Zoom.\n\n\n\n\n \;\n\n\n\n\nWe investigate Completely Positive Trace-Preserving (CPTP) maps and their density matrix fixed points\, also known as steady states. Specifically\, we focus on maps acting on many-bo dy Hilbert spaces that admit a Kraus decomposition using local operators. These maps can be realized on quantum computers as a quantum analog of Mar kov processes. We address the question of when these fixed points describe Gibbs measures of a local Hamiltonian. By perturbatively interpolating fr om a 1-local map to a 2-local map\, we demonstrate that the fixed-point Gi bbs Hamiltonian perturbs into a quasi-local Hamiltonian\, where the diamet er of the Hamiltonian terms increases correspondingly with the perturbativ e order. This result is proved by introducing a framework of multi-paramet er perturbations that respects the geometric structure of the system.\n\n\ n\n\n https://us02web.zoom.us/j/89193473512 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 234 and Zoom END:VEVENT BEGIN:VEVENT UID:398@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250213T100000 DTEND;TZID=Asia/Jerusalem:20250213T110000 DTSTAMP:20250206T110757Z URL:https://math.technion.ac.il/en/events/list-online-classification/ SUMMARY:List online classification DESCRIPTION:Lecturer:Iska Tsubari\n Location:Amado 719\n We study multiclas s online prediction where the learner can predict using a list of multiple labels (as opposed to just one label in the traditional setting). We char acterize learnability in this model using the b-ary Littlestone dimension . This dimension is a variation of the classical Littlestone dimension wit h the difference that binary mistake trees are replaced with (k+1)-ary mi stake trees\, where k is the number of labels in the list. In the agnost ic setting\, we explore different scenarios depending on whether the compa rator class consists of single-labeled or multi-labeled functions and its tradeoff with the size of the lists the algorithm uses. We find that it is possible to achieve negative regret in some cases and provide a complete characterization of when this is possible. As part of our work\, we adapt classical algorithms such as Littlestone's SOA and Rosenblatt's Perceptron to predict using lists of labels. We also establish combinatorial results for list-learnable classes\, including an list online version of the Saue r-Shelah-Perles Lemma. We state our results within the framework of patter n classes -- a generalization of hypothesis classes which can represent ad aptive hypotheses (i.e. functions with memory)\, \nand model data-dependen t assumptions such as linear classification with margin\nAssociate prof. S hay Moran :Advisor\n\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 719 END:VEVENT BEGIN:VEVENT UID:399@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250217T130000 DTEND;TZID=Asia/Jerusalem:20250217T140000 DTSTAMP:20250216T075229Z URL:https://math.technion.ac.il/en/events/generalization-expressivity-and- universality-of-graph-neural-networks-on-attributed-graphs/ SUMMARY:Generalization\, Expressivity\, and Universality of Graph Neural Ne tworks on Attributed Graphs DESCRIPTION:Lecturer:Levi Rauchwerger\n Location:Amado 814 \n We analyze th e universality and generalization of graph neural networks (GNNs) on attri buted graphs\, i.e.\, with node attributes. To this end\, we propose pseud ometrics over the space of all attributed graphs that describe the fine-gr ained expressivity of GNNs. Namely\, GNNs are both Lipschitz continuous wi th respect to our pseudometrics and can separate attributed graphs that ar e distant in the metric. Moreover\, we prove that the space of all attribu ted graphs is relatively compact with respect to our metrics. Based on the se properties\, we prove a universal approximation theorem for GNNs and ge neralization bounds for GNNs on any data distribution of attributed graphs . The proposed metrics compute the similarity between the structures of at tributed  graphs via a hierarchical optimal transport between computation trees. Our work extends and unites previous approaches which either deriv ed theory only for graphs with no attributes\, derived compact metrics und er which GNNs are continuous but without separation power\, or derived met rics under which GNNs are continuous and separate points but the space of graphs is not relatively compact\, which prevents universal approximation and generalization analysis.\n\nAdvisor: Dr. Ron Levie\, Prof. Stefanie Je gelka\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:397@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250304T140000 DTEND;TZID=Asia/Jerusalem:20250304T150000 DTSTAMP:20250204T092252Z URL:https://math.technion.ac.il/en/events/landscapes-evolutionary-dynamics -on-degenerate-flat-landscapes/ SUMMARY:Landscapes Evolutionary Dynamics on Degenerate Flat Landscapes DESCRIPTION:Lecturer:Razi Fachareldeen\n Location: NBRL seminar room (Fisch bach 430) \, ECE faculty\n Recent experimental studies have revealed surpr ising properties of biological fitness landscapes\, characterized by highl y connected\, degenerate manifolds of high-fitness states rather than isol ated peaks separated by fitness valleys. These findings challenge traditio nal theoretical frameworks and bear striking similarities to the loss land scapes encountered in deep learning\, where stochastic gradient descent (S GD) effectively navigates complex\, high-dimensional spaces and exhibits i mplicit regularization towards flat minima. Here\, we investigate these pa rallels by comparing different optimization strategies on a simplified lan dscape with a flat\, degenerate optimal manifold. We analyze the dynamics of SGD\, Natural Evolutionary Strategy (NES)\, and population-based evolut ionary algorithms with mutation and selection. Our results demonstrate tha t evolutionary dynamics\, like SGD\, displays implicit regularization by p referentially exploring flat regions in degenerate high-fitness landscapes . This finding suggests fundamental principles underlying optimization in both artificial and biological systems\, with important implications for u nderstanding evolutionary robustness\, biological degeneracy\, and the rol e of high dimensionality in facilitating adaptive processes. Our comparati ve analysis\nbridges the gap between machine learning optimization and evo lutionary dynamics\, offering insights into how different systems navigate complex fitness landscapes.\nAdvisor : Prof Naama Brenner\n CATEGORIES:Graduation Seminars,Seminars LOCATION: NBRL seminar room (Fischbach 430) \, ECE faculty END:VEVENT BEGIN:VEVENT UID:400@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250312T133000 DTEND;TZID=Asia/Jerusalem:20250312T143000 DTSTAMP:20250306T080504Z URL:https://math.technion.ac.il/en/events/deformations-of-reproducing-kern el-hilbert-spaces-on-homogeneous-varieties/ SUMMARY:Deformations of reproducing kernel Hilbert spaces on homogeneous va rieties DESCRIPTION:Lecturer:Yasin Watted\n Location:Amado 619 and zoom\n We study the relationships between a subvariety of the open unit ball in the comple x d-dimensional space C^d\, the reproducing kernel Hilbert space (RKHS) ob tained by restricting the Drury-Arveson space to the variety\, and its mul tiplier algebra.\nDavidson\, Ramsey\, and Shalit showed that given two sub varieties\, one is the image of the other under an automorphism of the bal l if and only if the RKHSs corresponding to the varieties are isometricall y isomorphic as RKHSs\, and this holds if and only if their multiplier alg ebras are isometrically isomorphic as multiplier algebras.\nWe demonstrate that whenever two such RKHSs are close to being isometrically isomorphic\ , their multiplier algebras are close to being isometrically isomorphic as well. In this case\, the underlying varieties are close to being automorp hically equivalent. For homogeneous varieties satisfying some additional c onditions\, we show that if one variety is close to being the image of the other under a unitary\, then the RKHSs are close to being isometrically i somorphic as RKHSs.\n https://us02web.zoom.us/j/89193473512 CATEGORIES:Graduation Seminars,Noncommutative Analysis Seminar,Seminars LOCATION:Amado 619 and zoom END:VEVENT BEGIN:VEVENT UID:404@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250312T143000 DTEND;TZID=Asia/Jerusalem:20250312T152000 DTSTAMP:20250303T162208Z URL:https://math.technion.ac.il/en/events/roy-deutch/ SUMMARY:Roy Deutch (Technion) — Topological Patterns in Trivalent Trees DESCRIPTION:Lecturer:Roy Deutch\n Location:814 Amado\n A trivalent tree is an undirected tree where the degree of every internal vertex is three. We consider "topological subtrees''\, which are the trivalent trees induced f rom a subset of k out of the n leaves\, by taking the minimal subtree that spans them and suppressing any vertex of degree two. These subtrees appea r in several applications and algorithmic problems\, such as in Phylogenet ics. Specifically\, we consider the "subtree density'' which is the normal ized number of copies of a given subtree with k leaves in a trivalent tree with n leaves.\n\n\n\nThe talk will discuss extremal questions\, such as what is the maximum possible density of a fixed subtree asymptotically as n tends to infinity\, as well as probabilistic questions on subtree densit ies in large random trivalent trees. We introduce a new framework to discu ss the above problems\, a limit object for trivalent trees\, called treeon .\n\n\n\nAdvisor: Chaim Even-Zohar\n CATEGORIES:Combinatorics Seminar,Graduation Seminars,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:440@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250312T170000 DTEND;TZID=Asia/Jerusalem:20250312T180000 DTSTAMP:20250421T065421Z URL:https://math.technion.ac.il/en/events/sign-patterns-of-the-mobius-func tion-2/ SUMMARY:Sign patterns of the Mobius function DESCRIPTION:Lecturer:Professor Tamar Ziegler\n Location:Sego 1\n Abstract: The Mobius function is one of the most important arithmetic functions. The re is a vague yet well known principle regarding its randomness properties called the “Mobius randomness law". It basically states that the Mobius function should be orthogonal to any "structured" sequence. P. Sarnak sug gested a far reaching conjecture as a possible formalization of this princ iple. He conjectured that "structured sequences" should correspond to sequ ences arising from deterministic dynamical systems. Sarnak’s conjecture follows from Chowla’s conjecture - which is the mobius version of the pr ime tuple conjecture. I will describe progress in recent years towards the se conjectures\, building on major advances dynamics\, additive combinator ics\, and analytic number theory.\n CATEGORIES:Netanyahu Memorial Lecture,Seminars LOCATION:Sego 1 END:VEVENT BEGIN:VEVENT UID:406@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250320T103000 DTEND;TZID=Asia/Jerusalem:20250320T113000 DTSTAMP:20250309T113006Z URL:https://math.technion.ac.il/en/events/attila-joo/ SUMMARY:Attila Joó (Universität Hamburg) — Hindrance from a wasteful common independent set DESCRIPTION:Lecturer:Attila Joó\n Location:814 Amado\n For (potentially in finite) matroids M and N\, an (M\,N)-hindrance is a set H that is independ ent but not spanning in N.span_M(H). This concept was introduced by Aharon i and Ziv in the very first paper investigating Nash-Williams' Matroid Int ersection Conjecture. They proved that the conjecture is equivalent to the statement that the non-existence of hindrances implies the existence of a n M-independent spanning set of N.\n\n\n\nIn this talk we present a recent breakthrough towards the Matroid Intersection Conjecture. Namely\, we fou nd a matroidal generalization of the `popular vertex' approach applied in the proof of the infinite version of König's theorem. We sketch the proof of the following statement: If matroids M and N admit a common independen t set I that is "wasteful'' in the sense that r(M/I)<\;r(N/I)\, then the re exists an (M\,N)-hindrance.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:410@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250325T120000 DTEND;TZID=Asia/Jerusalem:20250325T130000 DTSTAMP:20250323T062412Z URL:https://math.technion.ac.il/en/events/deep-learning-for-data-driven-an alysis-of-retinal-microvasculature-in-major-ophthalmic-and-systemic-diseas es/ SUMMARY:Deep Learning for Data-Driven Analysis of Retinal Microvasculature in Major Ophthalmic and Systemic Diseases DESCRIPTION:Lecturer:Jonathan Fhima\n Location:Faculty of Biomedical Engine ering main auditorium.\n Cardiovascular disease (CVD) remains one of the l eading causes of mortality worldwide. Early detection and prevention of CV D are crucial for improving patient outcomes and reducing healthcare costs . Since the early 20th century\, researchers have identified retinal vascu lar abnormalities as potential biomarkers for CVD. The retinal vasculature can be non-invasively assessed using digital fundus images (DFIs)\, which are easily acquired with fundus cameras. This approach enables efficient analysis of retinal abnormalities\, positioning the eye as a window into v ascular health.\n\nRecent advancements in deep learning have provided powe rful tools to automate and standardize retinal measurements\, offering unp recedented opportunities to analyze large-scale DFI databases and study co rrelations between ophthalmic as well as systemic health diseases and reti nal vasculature.\n\nThis doctoral research focuses on four key computer vi sion-based pillars relevant to the analysis of retinal microvasculature in large DFI datasets:1) Development of an open-source vasculature biomarker computation toolbox\; 2) Deep learning-based retinal vessel segmentation\ ; 3) Enhancement of retinal vessel segmentation out-of-distribution genera lization using generative AI\; 4) Investigation of vasculature variation w ithin a large glaucomatous cohort.\n\nAs part of the first pillar\, we rev iewed the scientific literature and identified retinal microvascular bioma rkers which were shown to be associated with CVD endpoints. This resulted in the development of an open-source\, automated\, and reproducible Python toolbox computing 16 vasculature biomarkers based on blood vessel segment ations. In particular\, we introduce new algorithmic methods to estimate t ortuosity and branching angles.\n\nThe second pillar explored the developm ent of deep learning algorithm for the automated segmentation of blood ves sel from DFIs in order to provide automated and reproducible input for ret inal microvascular biomarkers extraction. We developed and annotated the L euven-Haifa dataset\, comprising 240 DFIs with ground truth blood vessel s egmentations. Our deep learning model\, LUNet\, achieved a DICE score of 8 3.3\, significantly outperforming previously deep learning models and achi eving performance comparable to a human medical graduate annotator. Howeve r\, we observed limited generalization capability\, with performance dropp ing to an average DICE score of 77.0 when evaluated on external datasets.\ n\nThe third pillar addressed the challenge of generalization in medical i mage segmentation. We proposed Retinal Layout Aware Diffusion (RLAD)\, a n ovel conditional diffusion model that generates new images while preservin g similar vascular structures. RLAD was used to generate additional traini ng data\, leading to increased generalization performance. Additionally\, we collected and published a novel composite dataset from diverse sources\ , totaling 586 DFIs with ground truth blood vessel segmentation. With our newly introduced model\, the average DICE score on external datasets impro ved to 80.7. Furthermore\, our model exhibited robust capability in segmen ting out-of-distribution retinal fundus images such as those captured usin g portable devices\, low-quality imaging systems\, or ultra-wide fields of view—achieving a DICE score of 72.5 compared to 61.1 for the best bench mark.\n\nThe fourth pillar leveraged the previously developed tools to con duct a large-scale blood vessel analysis study\, examining blood vessel va riations within a glaucomatous cohort versus a healthy control group. In t otal\, 32\,000 images were analyzed\, providing robust insights into retin al vascular differences between the two groups. In particular\, the analys is revealed significant independent similarities in retinal vascular geome try alterations associated with both advanced age and glaucoma. These find ings suggest a potential mechanism of accelerated vascular aging in patien ts with glaucoma.\n\nThis thesis presents important advancements in the an alysis of retinal microvasculature by developing robust and automated comp utational tools and methodologies. Overall\, this work highlights the tran sformative potential of deep learning in retinal microvasculature analysis \, offering clinicians and researchers powerful tools for vascular health assessment\, enhancing segmentation generalization\, and enabling large-sc ale studies with direct implications for translational medical research.\n \nSupervised by Associate Prof. Joachim A. Behar and Assistant Prof. Moti Freiman\n\nZoom link: https://technion.zoom.us/j/92105308309\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Faculty of Biomedical Engineering main auditorium. END:VEVENT BEGIN:VEVENT UID:430@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250401T113000 DTEND;TZID=Asia/Jerusalem:20250401T123000 DTSTAMP:20250331T074853Z URL:https://math.technion.ac.il/en/events/every-recurrent-network-has-a-po tential-tending-to-infinity/ SUMMARY:Every recurrent network has a potential tending to infinity DESCRIPTION:Lecturer:Asaf Nachmias (TAU) \n Location:Meyer building (electr ical engeneering)\, room 861\n A rooted network consists of a connected\, locally finite graph G\, equipped with edge conductances and a distinguish ed vertex o. A nonnegative function on the vertices of G which vanishes at o\, has Laplacian 1 at o\, and is harmonic at all other vertices is calle d a potential. We prove that every infinite recurrent rooted network admit s a potential tending to infinity. This is an analogue of classical theore ms due to Evans and Nakai in the settings of Euclidean domains and Riemann ian surfaces. Joint work with Yuval Peres.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:411@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250401T133000 DTEND;TZID=Asia/Jerusalem:20250401T143000 DTSTAMP:20250327T061753Z URL:https://math.technion.ac.il/en/events/dynamical-and-spectral-defects-i n-approximations-of-substitution-systems/ SUMMARY:Dynamical and spectral defects in approximations of substitution sy stems DESCRIPTION:Lecturer:Lior Tenenbaum\n Location:Amado 814\n abstract is atta ched as a file\, as well as a zoom link.\n\nzoom passcode: 081307\n https: //technion.zoom.us/j/94515734619?pwd=u2tRcV2OHCIdcwR9S3k1Mv5dkHaK8X.1 CATEGORIES:Graduation Seminars,PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:414@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250402T143000 DTEND;TZID=Asia/Jerusalem:20250402T152000 DTSTAMP:20250330T220239Z URL:https://math.technion.ac.il/en/events/rom-pinchasi/ SUMMARY:Rom Pinchasi (Technion) -- Digons in arrangements of pairwise inter secting circles and Grünbaum’s Conjecture DESCRIPTION:Lecturer:Rom Pinchasi\n Location:814 Amado\n A conjecture of Br anko Grünbaum from 1972 states that any simple arrangement of n pairwise intersecting pseudocircles in the plane can have at most 2n-2 digons. We w ill present a solution of Grünbaum's Conjecture in the special case of pa irwise intersecting geometric circles. In the remaining time we will sketc h the solution of Grünbaum’s Conjecture in full generality for pseudoci rcles. The general solution is independent of the solution for the case of circles\, but it uses an abstract idea from the proof for circles\, witho ut which the proof of the general case of Grünbaum's Conjecture could not be carried out.\n\n\n\nThis is a joint work with Eyal Ackerman\, Gabor Da masdi\, Balazs Keszegh\, and Rebeka Raffay\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:428@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250403T123000 DTEND;TZID=Asia/Jerusalem:20250403T133000 DTSTAMP:20250331T063009Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-resolu tion-on-foliated-orbifolds/ SUMMARY:Cable Car Algebra Seminar: Resolution on foliated orbifolds DESCRIPTION:Lecturer:Dan Abramovich (Brown U)\n Location:Technion\, Ulman B uilding\, Room 506\n I will discuss work with Belotto da Silva\, Temkin an d Wlodarczyk\, about resolution of singularities of subvarieties of smooth varieties carrying a foliation\, in characteristic 0. This has implicatio ns for resolving singularities of certain classes of foliations.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Ulman Building\, Room 506 END:VEVENT BEGIN:VEVENT UID:427@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250403T123000 DTEND;TZID=Asia/Jerusalem:20250403T133000 DTSTAMP:20250331T062732Z URL:https://math.technion.ac.il/en/events/resolution-on-foliated-orbfolds/ SUMMARY:Resolution on foliated orbfolds DESCRIPTION:Lecturer:Dan Abramovich (Brown U)\, Tsachik Gelander (NWU)\n Lo cation:Amado 814\n \n\n\n12:30 -- 13:30\nDan Abramovich (Brown U)\nTitle: "Resolution on foliated orbfolds"\n\n\nAbstract:\nI will discuss work with Belotto da Silva\, Temkin\, and Wlodarczyk about a resolution of singular ities of subvarieties of smooth varieties carrying a foliation in characte ristic 0. This has implications for resolving singularities of certain cla sses of foliations.\n\n\n13:30 -- 14:30\nTsachik Gelander (NWU)\nTitle: TB A\n\n\nAbstract: TBA\n\n\n\n \;\n\nThe homepage of the seminar for the future talks can be found through the following link:\n\nhttps://sites.go ogle.com/view/cablecaralgebraseminar/home\n\n \;\n\n \;\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:412@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250403T133000 DTEND;TZID=Asia/Jerusalem:20250403T143000 DTSTAMP:20250329T135835Z URL:https://math.technion.ac.il/en/events/representations-of-isometric-tup les/ SUMMARY:Representations of isometric tuples DESCRIPTION:Lecturer:Mansi Suryawanshi (Technion)\n Location:Amado 619 and Zoom\n This talk revolves around tuples of isometries. We classify tuples of (not necessarily commuting) isometries that admit von Neumann-Wold deco mposition. We prove that each doubly twisted isometry admits a von Neumann -Wold type orthogonal decomposition. As an application of this decompositi on\, we study the universal C*-algebra and the irreducible representations of the C*-algebras generated by this family. Also\, we exhibit concrete a nalytic models for this family. Next\, we study orthogonal decompositions for general tuples of twisted isometries which also include the case of tu ples of commuting isometries.\n \;\nFinally\, we consider contractive representations of the odometer semigroup. O_n\, also known as the adding machine or the Baumslag-Solitar monoid with two generators\, which is a we ll-known object of study in group theory. We examine the odometer semigrou p in relation to representations of bounded linear operators. We focus on noncommutative operators and prove that contractive representations of O_n always admit to nicer isometric representations of O_n on vector-valued F ock spaces. We describe representations of O_n on the Fock space and relat e it to the dilation theory and invariant subspaces of Fock representation s of O_n. Along the way\, we also classify Nica covariant representations of O_n.\n https://us02web.zoom.us/j/89193473512 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 619 and Zoom END:VEVENT BEGIN:VEVENT UID:429@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250403T134500 DTEND;TZID=Asia/Jerusalem:20250403T144500 DTSTAMP:20250331T063222Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-mixed- identities-in-linear-groups-and-effective-versions/ SUMMARY:Cable Car Algebra Seminar: Mixed identities in linear groups and ef fective versions DESCRIPTION:Lecturer:Tsachik Gelander (NWU)\n Location:Technion\, Ulman Bui lding\, Room 506\n A mixed identity in group G is an equation W(x)=1 where W is a non-trivial word in the free product G∗⟨x⟩. which is satisfi ed for all x∈G. Mixed Identity Free (MIF) means that no such identity ho lds on G. When G has no mixed identities\, one wishes to find such x effec tively (w.r.t the word metric). Set f(n)=min { | g | : g∈G \, W(g)≠1 f or all W∈B(n) } where B(n) is the n-th ball in G∗⟨x⟩. If f is sub- exponential there are interesting applications for the reduced C*-algebra of the group\, especially when the group also has rapid decay.\n\nRecently \, Elayavalli and Schafhauser gave a negative answer for the C*-algebraic Tarski problem by studying this property for free groups. More recently\, Itamar Vigdorovich extended their work to uniform lattices in SL(n\,R). Wh at we proved is:\n\nTheorem 1. For a f.g. linear group \\Gamma with MIF\, the function f is linear (i.e. f(n)<\;Cn).\n\nIf the Zariski closure G i s a classical group\, then \\Gamma is MIF\, provided G is PSL(n)\, or G=SP _{2r} and \\Gamma has no elements of order 2\, or G=SO(n) and \\Gamma has no elements g for which g+g^{-1} is a scalar. Along the way\, we proved a new variant of the supper approximation theorem\, which is of independent interest.\n\nThis is a joint work with Nir Avni.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Ulman Building\, Room 506 END:VEVENT BEGIN:VEVENT UID:435@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250408T113000 DTEND;TZID=Asia/Jerusalem:20250408T123000 DTSTAMP:20250407T104554Z URL:https://math.technion.ac.il/en/events/coupled-but-distant/ SUMMARY:Coupled but distant DESCRIPTION:Lecturer:Gady Kozma (Weizmann)\n Location:Meyer building (elect rical engeneering)\, room 861\n We construct a coupling of two random walk s in 4 dimensions such that their traces do not intersect with positive pr obability. \nJoint work with Itai Benjamini.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:431@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250408T153000 DTEND;TZID=Asia/Jerusalem:20250408T170000 DTSTAMP:20250406T055022Z URL:https://math.technion.ac.il/en/events/%d7%98%d7%a7%d7%a1-%d7%91%d7%95% d7%92%d7%a8%d7%99%d7%9d-%d7%9e%d7%97%d7%96%d7%95%d7%a8-%d7%a6%d7%94/ SUMMARY:טקס בוגרים מחזור צ"ה DESCRIPTION:Lecturer:\n Location:אודיטוריום המכון לחקר המים - הפקולטה להנדסה אזרחית \n \n CATEGORIES:Faculty Events,Seminars LOCATION:אודיטוריום המכון לחקר המים - הפקולטה להנדסה אזרחית END:VEVENT BEGIN:VEVENT UID:432@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250409T123000 DTEND;TZID=Asia/Jerusalem:20250409T143000 DTSTAMP:20250406T054601Z URL:https://math.technion.ac.il/en/events/%d7%9e%d7%a4%d7%92%d7%a9-%d7%9e% d7%aa%d7%a2%d7%a0%d7%99%d7%99%d7%a0%d7%99%d7%9d-%d7%91%d7%aa%d7%90%d7%a8%d 7%99%d7%9d-%d7%9e%d7%aa%d7%a7%d7%93%d7%9e%d7%99%d7%9d/ SUMMARY:מפגש מתעניינים בתארים מתקדמים DESCRIPTION:Lecturer:\n Location:חדר הסגל בקומה 8 \n לינק להרשמה ולמידע נוסף :https://math.technion.ac.il/land/\n\n& nbsp\;\n CATEGORIES:Faculty Events,Seminars LOCATION:חדר הסגל בקומה 8 END:VEVENT BEGIN:VEVENT UID:436@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250409T133000 DTEND;TZID=Asia/Jerusalem:20250409T143000 DTSTAMP:20250408T060533Z URL:https://math.technion.ac.il/en/events/deep-learning-on-multisets-and-m easures-via-euclidean-embeddings/ SUMMARY:Deep Learning on Multisets and Measures via Euclidean Embeddings DESCRIPTION:Lecturer:Tal Amir (Technion)\n Location:Amado 619\n \n\n\n\n\nR ecent advances in machine learning have focused on non-Euclidean data\, su ch as sets\, point clouds\, and graphs. Developing efficient methods to em bed these data types into Euclidean space is critical\, as it allows for t he direct application of standard machine learning tools such as neural ne tworks. In particular\, Euclidean embeddings for more complex structures l ike point clouds and graphs typically rely on Euclidean embeddings for mul tisets as a fundamental building block.\n\nIn this talk\, I will present t wo novel methods for embedding multisets and measures into Euclidean space : the first is based on sum-pooled shallow neural networks with carefully chosen activation functions [1]\; the second\, inspired by optimal transpo rt\, uses Fourier sampling of projected quantile functions [2]. I will dis cuss the theoretical properties of these methods\, including injectivity a nd bi-Lipschitzness\, and demonstrate their advantages in practical learni ng tasks. Additionally\, I will present two impossibility results: (1) emb eddings based on sum-pooling can never be bi-Lipschitz on multisets\, and (2) no embedding can be bi-Lipschitz on distributions.\n\n\nReferences\n\n [1] Amir\, T.\, Gortler\, S.\, Avni\, I.\, Ravina\, R.\, &\; Dym\, N. ( 2023). Neural injective functions for multisets\, measures and graphs via a finite witness theorem. Advances in Neural Information Processing System s\, 36\, 42516-42551.\n\n[2] Amir\, Tal\, and Nadav Dym. Fourier Sliced-Wa sserstein Embedding for Multisets and Measures. To appear in the Proceedin gs of the International Conference on Learning Representations (ICLR)\, 20 25.\n\n\n\n\n\n CATEGORIES:Pizza Seminar,Seminars LOCATION:Amado 619 END:VEVENT BEGIN:VEVENT UID:415@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250409T143000 DTEND;TZID=Asia/Jerusalem:20250409T152000 DTSTAMP:20250404T112506Z URL:https://math.technion.ac.il/en/events/bogdan-chornomaz-2/ SUMMARY:Bogdan Chornomaz (Technion) -- Topology of shattering-extremal clas ses DESCRIPTION:Lecturer:Bogdan Chornomaz\n Location:814 Amado\n \n\nIn a recen t work\, Chase\, Chornomaz\, Hanneke\, Moran\, and Yehudayoff have shown t hat a certain attack on the sample compression conjecture cannot succeed. We will not talk about this\, but concentrate instead on a central structu ral result of their paper: the inequality VC* <\;= 2 VC + 1 for extremal classes. In particular\, we will discuss the (open) question of whether t his inequality is tight. While probably of limited importance by itself\, this question provides a good opportunity to discuss an inherent topologic al nature of extremal classes\, which we consider to be the main subject o f this talk.\n\n\n\nApart from the above-mentioned authors of CCHMY\, the talk is based on an ongoing collaboration with Biao Ma.\n\n \;\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:401@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250410T113000 DTEND;TZID=Asia/Jerusalem:20250410T123000 DTSTAMP:20250403T092020Z URL:https://math.technion.ac.il/en/events/tba-15/ SUMMARY:Finite Index Rigidity of Relatively Hyperbolic Groups DESCRIPTION:Lecturer:Gon Rahamim (Technion)\n Location:Amado 919\n A group is finite index rigid if every two isomorphic finite index subgroups have the same index. In this talk we will discuss this property in the setting of groups which are hyperbolic relative to free abelian groups\, and relat e it to the complexity of their classifying spaces.\n\nJoint work with Nir Lazarovich and Alessandro Sisto.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:408@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250420T113000 DTEND;TZID=Asia/Jerusalem:20250420T123000 DTSTAMP:20250414T205505Z URL:https://math.technion.ac.il/en/events/approximation-of-real-numbers-in -lp-norm/ SUMMARY:Approximation of real numbers in Lp-norm DESCRIPTION:Lecturer:Nikolay Moshchevitin (TU Wien and MSU)\n Location:Amad o 814\n Usually\, when we are dealing with approximations of an irrational α by rational fractions p/q\, we want to solve the system of inequalitie s\n\n|α q - p| <\; ε\, 1≤ q ≤ Q\n\nin integers p\,q. This formulat ion leads to ordinary continued fractions. Similar formulations correspond ing to the L2 and L1-norms go back to Hermite and Minkowski. They are rela ted to other types of continued fractions. We will discuss these algorithm s and explain how these constructions are related to the relatively new co ncept of Dirichlet improvability. In particular\, we will answer some ques tions by D. Kleinbock.\n\nThis is a joint work with Nikita Shulga.\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:439@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250422T113000 DTEND;TZID=Asia/Jerusalem:20250422T123000 DTSTAMP:20250420T090522Z URL:https://math.technion.ac.il/en/events/a-simple-characterization-of-the -effective-resistance-metric-on-vertex-transitive-graphs/ SUMMARY:A simple characterization of the effective resistance metric on ver tex transitive graphs DESCRIPTION:Lecturer:Jonathan Hermon (UBC)\n Location:Meyer building (room 861)\n The effective resistance satisfies the triangle inequality and thus defines a metric. For finite graphs\, this metric contains all of the inf ormation about the expected hitting times between pairs of vertices as wel l as about the cover time of the graph (= the first time by which every ve rtex has been visited at least once). We show that for transitive graphs\, the effective resistance between a pair of vertices o and x\, which are a t distance r from one another\, is comparable (up to a constant multiplica tive factor\, depending only on the degree) to the expected number of retu rns to the origin by time r^2. We use this (in the transitive bounded degr ee setup) to: (1) Give a complete characterization of the effective resist ance metric up to quasi-isometries\, with effective O(1) implicit constant s. (2) Give simple formulas\, involving few natural geometric quantities\ , for the orders of the expected cover time and the maximal (over all pai rs) effective resistance between a pair of vertices. Joint work with Lucas Teyssier (UBC) and Matt Tointon (U. Bristol). \n LOCATION:Meyer building (room 861) END:VEVENT BEGIN:VEVENT UID:441@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250422T133000 DTEND;TZID=Asia/Jerusalem:20250422T143000 DTSTAMP:20250421T075731Z URL:https://math.technion.ac.il/en/events/diffusion-and-sampling-with-pde- an-amateur-perspective/ SUMMARY:Diffusion and sampling with PDE: an amateur perspective DESCRIPTION:Lecturer:Prof. Lenya Ryzhik\n Location:Amado 814\n The Ermon-So ng algorithm (also sometimes known as stable diffusion) introduced in thei r papers 2019 and 2021 is a basic approach to producing additional samples of a "complicated" probability distribution starting with samples from an other\, known distribution from which sampling is easier.  Without claimi ng any expertise in the generative or training aspects of the model\, we w ill discuss  this algorithm in the context of PDE methods of  speeding up sampling\, as well as the convergence of a discrete version of the Erm on-Song algorithm when the distribution from which one needs to sample ha s singular support.  The ingredients in the proof are all completely elem entary but to the best of our knowledge some of them may be new.\n\nThis is a joint work with Ayya Alieva and Gautam Iyer.\n\n \;\n LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:442@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250423T123000 DTEND;TZID=Asia/Jerusalem:20250423T133000 DTSTAMP:20250421T112306Z URL:https://math.technion.ac.il/en/events/quantum-games-2/ SUMMARY:Quantum Games DESCRIPTION:Lecturer:Yosi Avron (Technion)\n Location:Amado 232\n \n\nQuant um games are constructed so as to show that quantum resources can give an\ nadvantage over classical resources. I shall illustrate this with a three party cooperative\ngame against a classical opponent\, known as the GHZ ga me. I shall not assume prior\nknowledge of quantum mechanics. This will be a blackboard talk.\n\n\n\n\n\n CATEGORIES:Math Club,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:416@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250423T143000 DTEND;TZID=Asia/Jerusalem:20250423T152000 DTSTAMP:20250408T205144Z URL:https://math.technion.ac.il/en/events/ohad-sheinfeld/ SUMMARY:Ohad Sheinfeld (Bar-Ilan) -- Squares of conjugacy classes of Sn DESCRIPTION:Lecturer:Ohad Sheinfeld \n Location:814 Amado\n \n\n\n\n\nWe st udy covering numbers of subsets of the symmetric group Sn that exhibit clo sure under conjugation\, known as normal sets. We show that for any ε>\ ;0\, there exists n0 such that if n>\;n0 and A is a conjugacy class of t he symmetric group Sn of density at least e-n^{2/5 - ε}\, then A2 contain s An. This improves upon a seminal result of Larsen and Shalev (Inventione s Math.\, 2008)\, with our 2/5 in the double exponent replacing their 1/4. \n\n\n\n\n\nOur proof strategy combines two types of techniques. The first is `traditional' techniques rooted in character bounds and asymptotics fo r the Witten zeta function\, drawing from the foundational works of Liebec k--Shalev\, Larsen--Shalev\, and more recently\, Larsen--Tiep. The second is a sharp hypercontractivity theorem in the symmetric group\, which was r ecently obtained by Keevash and Lifshitz. This synthesis of algebraic and analytic methodologies not only allows us to attain our improved bounds bu t also provides new insights into the behavior of general independent sets in normal Cayley graphs over symmetric groups.\n\n\n\n\n\nBased on a join t work with Nathan Keller and Noam Lifshitz.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:409@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250428T123000 DTEND;TZID=Asia/Jerusalem:20250428T133000 DTSTAMP:20250428T012840Z URL:https://math.technion.ac.il/en/events/the-dirichlet-spectrum/ SUMMARY:The Dirichlet spectrum DESCRIPTION:Lecturer:Alon Agin (TAU)\n Location:Amado 814\n Akhunzhanov and Shatskov defined the Dirichlet spectrum\, corresponding to m×n matrices and to norms on Rm and Rn. In case (m\,n) = (2\,1) and using the Euclidean norm on R2\, they showed that the spectrum is an interval. We generalize this result to arbitrary (m\,n) with max(m\,n)>\;1 and arbitrary norms\, improving previous works from recent years. We also define some related s pectra and show that they too are intervals. We also prove the existence o f matrices exhibiting special properties with respect to their uniform exp onent. Our argument is a modification of an argument of Khintchine from 19 26.\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:443@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250428T153000 DTEND;TZID=Asia/Jerusalem:20250428T163000 DTSTAMP:20250422T091728Z URL:https://math.technion.ac.il/en/events/strongly-degenerated-complete-in tersections-of-quadrics-geometry-and-arithmetic/ SUMMARY:“Strongly Degenerated Complete Intersections of Quadrics: Geometr y and Arithmetic”. DESCRIPTION:Lecturer:Michael A. Tsfasman (Manin Lab\, Higher School of Mode rn Mathematics\, Moscow Institute of Physics and Technology\, Moscow)\n Lo cation:Amado 232\n Abstract:  Motivated by an elementary question about q uadratic residues\, we shall discuss the geometry of what I call strongly degenerated intersections of quadrics.\n\nLet X be a complete intersection of m+1 quadrics in P^n. Consider all linear combinations Q_a of our quadr ics. They are parametrized by P^m. Let H be given by the condition that Q_ a is not smooth (then the determinant of the equation of Q_a is 0\, and Q_ a is a cone). We say that X is strongly degenerated if the determinant hyp ersurface H = H(X) is a union of hyperplanes. The main example m = 2\, n = 4 generically gives us a smooth curve X of genus 5 that has a very specif ic geometry. For simplicity we shall mostly discuss curves\, touching high er dimensions but slightly.\n\nThe subject being new\, there are much more questions than answers.\n\nI presuppose only the basic knowledge of proje ctive and algebraic geometry.\n\nLight refreshments will be served at 15:0 0 at the faculty lounge on the 8th floor. \n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:447@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250429T120000 DTEND;TZID=Asia/Jerusalem:20250429T130000 DTSTAMP:20250428T102513Z URL:https://math.technion.ac.il/en/events/disordered-gibbs-measures-and-ga ussian-conditioning/ SUMMARY:Disordered Gibbs measures and Gaussian conditioning (NOTE THAT SPE CIAL TIME) DESCRIPTION:Lecturer:Eliran Subag (Weizmann)\n Location:Meyer building (ele ctrical engeneering)\, room 861\n Given a Gaussian energy function H(x) an d another random process O(x) (an observable) both defined on the same con figuration space\, what is the law of O(y) for y sampled from the Gibbs me asure associated to H(x)? We will see the answer to this question in the h igh temperature phase in a general setting\, and in the more challenging l ow temperature phase for spherical spin glasses. For both\, the answer wil l be given in terms of the law of O(x) for deterministic x\, conditional o n an appropriate event. In the former case the conditioning will only invo lve the value of the energy H(x) at the same point x. In the latter\, we a dditionally need to specify the energy and its derivatives over a sequence of critical points with a certain geometry.\nBased on joint work with Ami r Dembo.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:391@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250506T093000 DTEND;TZID=Asia/Jerusalem:20250508T180000 DTSTAMP:20250122T063249Z URL:https://math.technion.ac.il/en/events/on-site-workshop-on-control-and- optimization-ii/ SUMMARY:On-site Workshop on Control and Optimization II DESCRIPTION:Lecturer:\n Location:Amado 232\n Click here to have more inform ation about the workshop\n CATEGORIES:CMS Activities,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:450@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250506T113000 DTEND;TZID=Asia/Jerusalem:20250506T123000 DTSTAMP:20250504T120622Z URL:https://math.technion.ac.il/en/events/entropic-repulsion-of-stationary -gaussian-fields-with-spectral-singularity/ SUMMARY:Entropic repulsion of stationary Gaussian fields with spectral sing ularity DESCRIPTION:Lecturer:Naomi Feldheim (BIU)\n Location:Meyer building (electr ical engeneering)\, room 861\n We study the persistence event (i.e.\, the event that the field remains positive on a large ball) for stationary Gau ssian fields on R^d or Z^d\, with a spectral singularity at the origin. \ nFirst\, we give precise log-asymptotics for the persistence probability  and connect it to a notion of capacity. Second\, we establish that the fi eld exhibits ``entropic repulsion”: conditioned on persistence on a ball of radius T\, the field is propelled to height $C\\sqrt{\\log T}$ an d fluctuates around a certain deterministic function (the “shape f unction”).\nThis generalises a classical result of Bolthausen\, Deuschel and Zeitouni for the Gaussian free field (GFF) on Z^d for $d \\ge 3$\, to a wide class of Gaussian fields with long-range correlations.\nBased o n joint work with Ohad Feldheim and Stephen Muirhead.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:444@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250507T133000 DTEND;TZID=Asia/Jerusalem:20250507T143000 DTSTAMP:20250427T154530Z URL:https://math.technion.ac.il/en/events/the-library-of-integer-relations -and-constants/ SUMMARY:The Library of Integer Relations and Constants DESCRIPTION:Lecturer:Itay Beit-Halachmi\n Location:Faculty Lounge\, 8th flo or\, Amado \n In this talk\, we present recent developments in experimenta l mathematics within the Ramanujan Machine project\, specializing in autom ated conjecture generation in number theory\, in particular involving cont inued fractions. Specifically\, we present recent conjectures found\, incl uding a generalization of a famous result by Ramanujan\, and present the s earch algorithm employed in finding them. The search algorithm employs a n ew heuristic for the likelihood of a conjecture to be true\, based on avai lable numerical data\, and this heuristic will be explored in the talk. W e will also present the convergence model used when evaluating continued f ractions\, and the recent efforts in making these findings and algorithms open to the public.\nAdvisor: Prof. Ido Kaminer\n\n \;\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Faculty Lounge\, 8th floor\, Amado END:VEVENT BEGIN:VEVENT UID:417@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250507T143000 DTEND;TZID=Asia/Jerusalem:20250507T152000 DTSTAMP:20250427T063249Z URL:https://math.technion.ac.il/en/events/yuval-peled/ SUMMARY:Yuval Peled (Hebrew University) -- Noise sensitivity of critical ra ndom graphs and the MST DESCRIPTION:Lecturer:Yuval Peled \n Location:814 Amado\n \nThe largest comp onents C_1\,C_2\,C_3\,... of a G(n\,p) random graph in the critical window np=1+t*n^{−1/3} are known to converge\, in several concrete meanings\, to a non-trivial random scaling limit. For example\, the size of the larg est component divided by n^(2/3) converges in distribution to a continuous random variable that was famously identified by Aldous in the 90’s. \n \n\n\n\n\n\n\n\nIn this talk we will study the sensitivity of the limiting properties of these components under a noise operator that resamples ever y edge independently with probability epsilon. For instance\, we ask: for which values of epsilon are the properties “|C_1| exceeds 2*n^(2/3)” o r “the diameter of C_2 is smaller than its median” noise-sensitive?\n\ n\n\n\n\n\n\n\nOur main finding is a dichotomy for noise sensitivity that coincides with the critical window: If the noise parameter epsilon >\;&g t\; n^(−1/3) then such properties are noise-sensitive\, while for epsilo n <\;<\; n^(−1/3) they are noise-stable.\n\n\n\n\n\n\n\n\nIf time pe rmits\, we will also present the very same dichotomy for the noise-sensiti vity of metric properties of the random Minimum Spanning Tree of the compl ete n-vertex graph.\n\n\n\n\n\n\n\n\nBased on joint works with Eyal Lubetz ky and Omer Israeli.\n\n\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:449@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250508T123000 DTEND;TZID=Asia/Jerusalem:20250508T143000 DTSTAMP:20250504T081024Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-unlike ly-intersections-for-orthogonal-polynomials/ SUMMARY:Cable Car Algebra Seminar: Unlikely intersections for orthogonal po lynomials DESCRIPTION:Lecturer:Gal Binyamini (Weizmann) and Jonathan Pila (Oxford\, W eizmann)\n Location:Technion\, Amado Building\, Room 814\n Several problem s in arithmetic geometry identify a class of "special points" and seek to describe the set of special points satisfying a given system of algebraic equations. Two classical examples are the Manin-Mumford conjecture concern ing torsion points in abelian varieties\, and the Andre-Oort conjecture co ncerning CM points in Shimura varieties.\n\nWe propose a new variation on this theme\, where the role of special points is played by the roots of cl assical orthogonal polynomials. The proof uses o-minimality in a manner an alogous to the proofs of Manin-Mumford and Andre-Oort\, but several featur es distinguish this case from the more classical arithmetic contexts. Whil e the classical applications can be carried out in the o-minimal structure s R_an or R_{an\,exp}\, this new variant requires the more "exotic" struct ure of Gevrey multisummable series\; and while the classical applications involve differential Galois groups of regular-singular differential equati ons\, this new variant leads to differential equations with irregular sing ularities.\n\nIn the first talk\, we will recall the Manin-Mumford conject ure and introduce the orthogonal polynomial analog. We will sketch the pro of of Manin-Mumford using o-minimality and how it can be adapted to this n ew context using multisummable functions. In the second talk\, we will dis cuss new functional transcendence results that are needed to complete the argument: a variant of the Ax-Schanuel theorem for this context. We will s how how this is derived by combining recent work by Blasquez-Sans--Casale- -Freitag--Nagloo with a classic paper of Kolchin. All the results are base d on joint work with Avner Kiro.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:448@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250508T133000 DTEND;TZID=Asia/Jerusalem:20250508T143000 DTSTAMP:20250502T041639Z URL:https://math.technion.ac.il/en/events/an-obstruction-to-isomorphism-of -tensor-algebras-of-multivariable-dynamical-systems/ SUMMARY:An obstruction to isomorphism of tensor algebras of multivariable d ynamical systems DESCRIPTION:Lecturer:Boris Bilich (Haifa University and Gottingen Universit y)\n Location:Amado 619 and Zoom\n A multivariable dynamical system consis ts of a compact Hausdorff space X together with a finite family of continu ous self-maps σᵢ: X → X. To each such system one naturally associates a non-selfadjoint operator algebra known as the tensor algebra\, denoted by A(X\, σ)\, which encodes the dynamical information algebraically. In t he single-variable case (n = 1)\, Davidson and Katsoulis established that two tensor algebras are isomorphic if and only if the corresponding dynami cal systems are conjugate. For n ≥ 2\, however\, conjugacy is too strong to capture algebraic isomorphism\, leading Davidson and Katsoulis to intr oduce the weaker notion of piecewise conjugacy\, conjecturing it to be the correct criterion for classification.\n\nIn this talk\, we disprove their conjecture in general. By identifying a previously unnoticed topological obstruction to the existence of certain admissible maps into spaces of uni tary matrices\, we produce an explicit counterexample consisting of two pi ecewise conjugate 4-variable systems on a two-dimensional compact space wh ose tensor algebras are not isomorphic. This result leaves the classificat ion problem wide open and highlights the necessity of more refined invaria nts for tensor-algebra isomorphism.\n https://us02web.zoom.us/j/8919347351 2 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 619 and Zoom END:VEVENT BEGIN:VEVENT UID:451@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250512T123000 DTEND;TZID=Asia/Jerusalem:20250512T133000 DTSTAMP:20250512T081128Z URL:https://math.technion.ac.il/en/events/on-new-constructions-of-wanderin g-domains/ SUMMARY:On new constructions of wandering domains DESCRIPTION:Lecturer:Adi Glucksam (HUJI)\n Location:Amado 814\n \n\nComplex dynamics explores the evolution of points under iteration of functions of complex variables. In this talk I will introduce into the context of comp lex dynamics\, a new approximation tool allowing us to construct new examp les of entire functions and show new possible dynamical behaviours.\n\n&nb sp\;\n\nIn particular:\n* We answer a question of Rippon and Stallard from 2012 about unbounded wandering domains with unbounded orbits.\n* We prov ide a collection of examples supporting a conjecture of Baker.\n* We show any bounded set with an analytic boundary can be a wandering domain of an entire function of any positive order of growth.\n\nThis talk is partia lly based on a joint work with V. Evdoridou\, and L. Pardo-Simón\, and pa rtially based on a joint work in progress with L. Pardo-Simón.\n\n\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:434@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250512T170000 DTEND;TZID=Asia/Jerusalem:20250512T180000 DTSTAMP:20250407T103818Z URL:https://math.technion.ac.il/en/events/sign-patterns-of-the-mobius-func tion/ SUMMARY:Sign patterns of the Mobius function DESCRIPTION:Lecturer:Tamar Ziegler\n Location:Sego 1\n Abstract: The Mobius function is one of the most important arithmetic functions. There is a va gue yet well known principle regarding its randomness properties called th e “Mobius randomness law". It basically states that the Mobius function should be orthogonal to any "structured" sequence. P. Sarnak suggested a f ar reaching conjecture as a possible formalization of this principle. He c onjectured that "structured sequences" should correspond to sequences aris ing from deterministic dynamical systems. Sarnak’s conjecture follows fr om Chowla’s conjecture - which is the mobius version of the prime tuple conjecture. I will describe progress in recent years towards these conject ures\, building on major advances dynamics\, additive combinatorics\, and analytic number theory.\n CATEGORIES:Netanyahu Memorial Lecture,Seminars LOCATION:Sego 1 END:VEVENT BEGIN:VEVENT UID:418@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250514T143000 DTEND;TZID=Asia/Jerusalem:20250514T152000 DTSTAMP:20250505T162715Z URL:https://math.technion.ac.il/en/events/toufik-mansour/ SUMMARY:Toufik Mansour (Haifa) -- How to Count - Magically! DESCRIPTION:Lecturer:Toufik Mansour\n Location:814 Amado\n In this talk\, w e introduce a general and versatile algorithm for enumerating elements of combinatorial families under a wide range of constraints. Our framework ap plies uniformly to diverse structures including ascent sequences\, inversi on sequences\, permutations\, set partitions\, weak ascent sequences\, and words over finite alphabets. Through this unifying perspective\, we highl ight both the elegance and power of systematic enumeration techniques.\n\n  \;\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:437@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250515T113000 DTEND;TZID=Asia/Jerusalem:20250515T123000 DTSTAMP:20250410T073051Z URL:https://math.technion.ac.il/en/events/tba-27/ SUMMARY:Topological median algebras on Euclidean spaces DESCRIPTION:Lecturer:Michah Sageev (Technion)\n Location:Amado 919\n We dis cuss some basics results on the structure of topological median algebras o n Euclidean spaces.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:455@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250520T113000 DTEND;TZID=Asia/Jerusalem:20250520T123000 DTSTAMP:20250519T085309Z URL:https://math.technion.ac.il/en/events/detecting-arbitrary-planted-subg raphs-in-random-graphs/ SUMMARY:Detecting Arbitrary Planted Subgraphs in Random Graphs DESCRIPTION:Lecturer:Dor Elimelech (TAU)\n Location:Meyer building (electri cal engeneering)\, room 861\n The problems of detecting and recovering pla nted structures and subgraphs in Erdős–Rényi random graphs have receiv ed significant attention over the past three decades\, leading to many exc iting results and mathematical techniques. However\, prior work has largel y focused on specific\, ad hoc planted structures and inferential settings \, while a general theory has remained elusive. We bridge this gap by inve stigating the detection of an arbitrary planted subgraph in an Erdős–R ényi random graph. We examine both the statistical and computational aspe cts of this problem and establish tight bounds on the detection risk\, acr oss several regimes of interest\, as a function of the planted and underly ing graph edge probabilities. Most notably\, these bounds depend on the pl anted subgraph only through its number of edges\, maximum degree\, and max imum subgraph density.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:419@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250521T143000 DTEND;TZID=Asia/Jerusalem:20250521T152000 DTSTAMP:20250505T213950Z URL:https://math.technion.ac.il/en/events/avichai-marmor/ SUMMARY:Avichai Marmor (Bar-Ilan) -- Permutation mixing via hypercontractiv ity for symmetric characters DESCRIPTION:Lecturer:\n Location:814 Amado\n The area of permutation mixing asks\, for a given set of permutations B in Sn\, whether the product x1 . .. xk is approximately uniformly distributed\, where all xi are uniformly sampled from B. Permutation mixing has been extensively studied over the p ast few decades\, starting with the seminal work of Diaconis and Shahshaha ni in 1981 on deck shuffling. One major problem in this area asks to deter mine the minimal size of a conjugacy-closed set B that ensures it has a mi xing-time of k\, i.e.\, that multiplying k uniform elements of B results i n mixing. Larsen and Shalev (Inventiones Math.\, 2008) found an almost tig ht bound on this size\, employing novel methods to bound the characters of the symmetric group. These bounds rely heavily on specific properties of the symmetric group and its character formulas.\n\n\n\nIn this talk\, we p resent a new approach to bounding symmetric characters\, drawing on a tool from the theory of Boolean functions known as 'hypercontractivity for glo bal functions'. This method improves the bounds obtained by Larsen-Shalev\ , and relies on only a few key properties of symmetric characters --- prop erties that have analogues in various classical groups. This raises the po ssibility of extending the technique to other groups. After introducing th e relevant tools from representation theory\, we will outline the proof of the new bound and deduce improved bounds on the size that ensures a set h as mixing time k.\n\n\n\nThe talk is based on joint work with Noam Lifshit z. No prior knowledge is required.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:453@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250522T133000 DTEND;TZID=Asia/Jerusalem:20250522T143000 DTSTAMP:20250520T125417Z URL:https://math.technion.ac.il/en/events/arvesons-hyperrigidity-conjectur e-partial-results-and-a-new-counterexample/ SUMMARY:Arveson’s hyperrigidity conjecture: partial results and a new cou nterexample DESCRIPTION:Lecturer:Marcel Scherer (University of Saarland)\n Location:Zoo m\n The talk is about the hyperrigidity of operator systems. Despite being disproven by Bilich and Dor-On\, Arveson’s hyperrigidity conjecture rem ains open in the case of operator systems in commutative C*-algebras. We w ill present new results on the hyperrigidity of the operator system given by the continuous affine functions on compact convex subsets in R^2. Addit ionally\, we present a finite-dimensional operator system in a noncommutat ive C*-algebra that contradicts Arveson’s conjecture.\n\n \;\n\nNote : the seminar will be completely virtual - only in zoom.\n https://us02web .zoom.us/j/89193473512 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Zoom END:VEVENT BEGIN:VEVENT UID:454@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250525T143000 DTEND;TZID=Asia/Jerusalem:20250525T153000 DTSTAMP:20250519T083232Z URL:https://math.technion.ac.il/en/events/a-self-adaptive-iterative-method -for-variational-inclusion-problems-on-hadamard-manifolds/ SUMMARY:A self-adaptive iterative method for variational inclusion problems on Hadamard manifolds DESCRIPTION:Lecturer:Shikher Sharma (Technion)\n Location:Room 814\, Amado Mathematics Building\n Attached\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Room 814\, Amado Mathematics Building END:VEVENT BEGIN:VEVENT UID:407@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250526T123000 DTEND;TZID=Asia/Jerusalem:20250526T133000 DTSTAMP:20250514T081816Z URL:https://math.technion.ac.il/en/events/dimension-of-stationary-measures -on-r-generated-by-systems-of-analytic-contractions/ SUMMARY:Dimension of stationary measures on R generated by systems of analy tic contractions DESCRIPTION:Lecturer:Ariel Rapaport (Technion)\n Location:Amado 814\n I wil l present a recent result that extends M. Hochman's work on exponentially separated self-similar measures on R to the real analytic setting. The mai n difficulty stems from the infinite dimensionality of the space of real a nalytic maps\, which requires new ideas beyond those used in the self-simi lar case.\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:452@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250526T153000 DTEND;TZID=Asia/Jerusalem:20250526T163000 DTSTAMP:20250514T072939Z URL:https://math.technion.ac.il/en/events/finding-structure-in-high-dimens ional-data-methods-and-fundamental-limitations/ SUMMARY:"Finding structure in high dimensional data\, methods and fundament al limitations" DESCRIPTION:Lecturer:Boaz Nadler (Weizmann Institute) \n Location:Amado 232 \n Abstract:\n\nA fundamental task in (unsupervised) analysis of data is t o detect and estimate interesting "structure" hidden in it. In low dimensi ons\, this task has been explored for over 100 years with dozens of develo ped methods.  In this talk I'll focus on aspects of this problem for high dimensional data\, where each observation has many coordinates.\n\nWe wil l discuss how (i) standard methods to detect structure in high dimensions may not work well\, and there is a need to devise new models and approach es\; and yet\, (ii) with a limited amount of high dimensional observations \, regardless of the method employed\, there are fundamental limitations t o the ability to detect various structures\, even if they are present in t he data.\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:462@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250528T123000 DTEND;TZID=Asia/Jerusalem:20250528T133000 DTSTAMP:20250525T072540Z URL:https://math.technion.ac.il/events/%d7%94%d7%9e%d7%aa%d7%9e%d7%98%d7%9 9%d7%a7%d7%94-%d7%a9%d7%9c-%d7%a8%d7%99%d7%a7%d7%95%d7%93-%d7%a2%d7%9d-%d7 %97%d7%91%d7%9c%d7%99%d7%9d/ SUMMARY:המתמטיקה של ריקוד עם חבלים DESCRIPTION:Lecturer:Nir Lazarovich (Technion)\n Location:Amado 232\n \n\n נניח ששני זוגות אנשים עומדים אחד מול השנ י\, וכל זוג מחזיק חבל מתוח ביניהם. המוזיקה מתחילה וארבעת האנשים מתחילים לרקוד. תוך כדי הריקוד החבלים שלהם מתחילים להתלפף אח ד סביב השני ומתקבל בסוף הריקוד סבך של חוט ים. מה המתמטיקה יודעת להגיד על הסבך שהתקב ל?\n\nבהרצאה נלמד כמה תנועות ריקוד לארבעה אנשים ושני חבלים – ועל הקשר שלהן למספרים הרציונליים.\n\n\nחשוב להדגיש שההרצאה תהיה מאוד בסיסית\, ומתאימה לסטודנטים בסמסטר ר אשון (אפילו לתלמידי בית ספר).\n \;\n\n\n LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:420@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250528T143000 DTEND;TZID=Asia/Jerusalem:20250528T152000 DTSTAMP:20250528T142102Z URL:https://math.technion.ac.il/en/events/sergey-avvakumov/ SUMMARY:Sergey Avvakumov (Tel Aviv) -- Hardness of 4-colorings G-colorable graphs DESCRIPTION:Lecturer:Sergey Avvakumov\n Location:814 Amado\n We will prove that the problem of distinguishing between 3-colorable and not even 4-colo rable graphs is NP-hard. It is an immediate corollary of a more general re sult.\n\nFor a fixed graph H\, the H-coloring problem is to decide whether a given graph has a homomorphism to H. By a result of Hell and Nešetřil \, this problem is NP-hard for any non-bipartite loop-less graph H. Braken siek and Guruswami conjectured that hardness extends to promise graph homo morphism problems as follows: fix a pair of non-bipartite loop-less graphs G\, H such that there is a homomorphism from G to H\, it is NP-hard to di stinguish between graphs that are G-colorable and those that are not H-col orable. We will prove this conjecture in the cases when both G and H are 4 -colorable.\n\nThis is a joint work with Marek Filakovský\, Jakub Opršal \, Gianluca Tasinato\, and Uli Wagner.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:403@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250529T113000 DTEND;TZID=Asia/Jerusalem:20250529T123000 DTSTAMP:20250513T061519Z URL:https://math.technion.ac.il/en/events/tba-23/ SUMMARY:The Borsuk Theorem (&\; other properties) in group-compactificat ions DESCRIPTION:Lecturer:Tomer Zimhoni (BGU)\n Location:Amado 919\n Let $\\Gamm a$ be a discrete countable infinite Group and let X be compact minimal $\\ Gamma$-space. A $\\Gamma$-compactification by X is a compact topology on $ \\Gamma\\cup X$ on which $\\Gamma$ acts continuously by left multiplicatio n and the original action on X respectively\, and such that $\\Gamma$ is d ense in $\\Gamma\\cup$ X.\n\nIs there more than one way to "glue" X to $\\ Gamma$ in such a way? Are there canonical families of $\\Gamma$ compactifi cations? and what all of this has to do with the old and famous Borsuk's n on-retract theorem from classical topology?\n\n\nBased on a joint work (in progress) with Yair Hartman\, Aranka Hrušková\, Mehrdad Kalantar\n\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:463@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250604T123000 DTEND;TZID=Asia/Jerusalem:20250604T133000 DTSTAMP:20250526T054550Z URL:https://math.technion.ac.il/en/events/%d7%94%d7%9e%d7%aa%d7%9e%d7%98%d 7%99%d7%a7%d7%94-%d7%a9%d7%9c-%d7%a8%d7%99%d7%a7%d7%95%d7%93-%d7%a2%d7%9d- %d7%97%d7%91%d7%9c%d7%99%d7%9d-2/ SUMMARY:המתמטיקה של ריקוד עם חבלים DESCRIPTION:Lecturer:Nir Lazarovich (Technion)\n Location:Amado 232\n ננ יח ששני זוגות אנשים עומדים אחד מול השני\, וכל זוג מחזיק חבל מתוח ביניהם. המוזיקה מת חילה וארבעת האנשים מתחילים לרקוד. תוך כד י הריקוד החבלים שלהם מתחילים להתלפף אחד סביב השני ומתקבל בסוף הריקוד סבך של חוטי ם. מה המתמטיקה יודעת להגיד על הסבך שהתקבל ?\nבהרצאה נלמד כמה תנועות ריקוד לארבעה אנ שים ושני חבלים – ועל הקשר שלהן למספרים ה רציונליים.\nחשוב להדגיש שההרצאה תהיה מאו ד בסיסית\, ומתאימה לסטודנטים בסמסטר ראשו ן (אפילו לתלמידי בית ספר).\n CATEGORIES:Math Club,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:465@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250604T133000 DTEND;TZID=Asia/Jerusalem:20250604T143000 DTSTAMP:20250528T100320Z URL:https://math.technion.ac.il/en/events/curves-have-a-finite-number-of-s ymmetries/ SUMMARY:Curves have a finite number of symmetries. DESCRIPTION:Lecturer:Aleksei Piskunov (Technion)\n Location:8th floor Facul ty Lounge\, Amado Bldg\n \n\n\n\n\nHow many symmetries can a curve possess ? It turns out that once the (smooth projective) curve is "complicated eno ugh"—specifically\, if it has genus at least 2—then its automorphisms group is always finite. In this talk\, I will show a new simple\, but conc eptual proof of this fact based on a one-pager by Daniel Litt. I will also explain how the same method extends to higher-dimensional cases under mil d assumptions.\n\nIt’s a fun example of how geometry puts hard limits on symmetries. No special background in algebraic geometry is needed!\n\n\n\ n\n\n CATEGORIES:Pizza Seminar,Seminars LOCATION:8th floor Faculty Lounge\, Amado Bldg END:VEVENT BEGIN:VEVENT UID:422@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250604T143000 DTEND;TZID=Asia/Jerusalem:20250604T152000 DTSTAMP:20250528T143236Z URL:https://math.technion.ac.il/en/events/no-seminar/ SUMMARY:Seminar CANCELLED due to Geometry Day in Honor of Micha Sharir\, Ki bbutz Nahsholim DESCRIPTION:Lecturer:\n Location:\n \n CATEGORIES:Combinatorics Seminar,Seminars END:VEVENT BEGIN:VEVENT UID:468@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250605T123000 DTEND;TZID=Asia/Jerusalem:20250605T133000 DTSTAMP:20250530T114455Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-automo rphic-frobenius-reciprocity-and-the-orbit-method/ SUMMARY:Cable Car Algebra Seminar: Automorphic Frobenius reciprocity and th e Orbit Method DESCRIPTION:Lecturer:Andre Reznikov (BIU)\n Location:Technion\, Amado Build ing\, Room 814\n Automorphic functions and representations are central for Number Theory. Automorphic Frobenius functional amounts to evaluation of automorphic functions the identity. From a point of view of Functional Ana lysis it is natural to determine a norm of Automorphic Frobenius functiona l as a functional on an (infinite dimensional) irreducible unitary automor phic representation. Such bounds provide bounds on values of automorphic f unctions\, and sometimes could be translated into bounds on important numb er-theoretic quantities (e.g.\, on L-functions). I discuss recent approach of P. Nelson and A. Venkatesh (Acta Math. 226 (2021)\, no. 1\, 1-209) whi ch is based on a "geometrization" of this question via their quantitative version of the Orbit Method of A. Kirillov. This led them to a discovery o f a "hidden symmetry" and an unexpected employment of Ratner's theorem. Fo r simplicity\, my discussion will be restricted to the group SL(2\,R) whil e the general case is discussed in arXiv:2408.10793.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:469@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250605T133000 DTEND;TZID=Asia/Jerusalem:20250605T143000 DTSTAMP:20250530T114650Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-the-ge ometry-of-nilfibres-through-the-lens-of-tableaux/ SUMMARY:Cable Car Algebra Seminar: The Geometry of Nilfibres through the Le ns of Tableaux DESCRIPTION:Lecturer:Yasmine Fittouhi (Weizmann)\n Location:Technion\, Amad o Building\, Room 814\n Let $G = SL(n)$ be a simple algebraic group over $ C$\, with $B \\subset P \\subset G$ a Borel and a parabolic subgroup\, res pectively. Denote by $P'$ the derived subgroup of $P$\, and let $m$ be the Lie algebra of the nilradical of $P$. The nilfibre $N$ is defined as the zero locus of the augmentation ideal $I_+$ of the semi-invariant algebra $ I = C[m]^{P'}$.\n\nThis talk exposes the irreducible components of $N$. To address this\, we construct a semi-standard tableau $T^c$\, where $c$ its combinatorial datum. This tableau encodes a subspace $u^c\\subset m$ defi ned by the exclusion of certain root vectors. We will show that the closur e $\\overline{B \\cdot u^c}$ is an irreducible component of $N$ and admits an associated Weierstrass section.\n\nWe provide some evidence that this construction defines an injective map from semi-standard tableaux to irred ucible components of $N$\, revealing a rich combinatorial structure underl ying the geometry of nilfibres and a glimpse of the subjectivity.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:466@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250608T143000 DTEND;TZID=Asia/Jerusalem:20250608T153000 DTSTAMP:20250529T051911Z URL:https://math.technion.ac.il/en/events/finding-nonlinear-production-con sumption-equilibrium/ SUMMARY:Finding Nonlinear Production-Consumption Equilibrium DESCRIPTION:Lecturer:Roman Polyak (George Mason University)\n Location:Amad o 814\n Abstract:  We introduce and study nonlinear production-consumptio n equilibrium (NPCE). The NPCE is a combination and generalization of both classical linear programming (LP) and classical input-output (IO) models. In contrast to LP and IO the NPCE has both production and consumption com ponents. Moreover\, the production cost\, the consumption and the factors (resources) availability are not fixed. Instead\, they are correspondent f unctions of the production output\, prices of goods and prices of factors. At the NPCE the total production cost reaches its minimum\, while the tot al consumption\, without factors expenses\, reaches its maximum. At the sa me time the production cost is consistent with the production output\, the \nconsumption is consistent with the prices for goods\, and the factors av ailability is consistent with prices for factors. Finding NPCE is equivale nt to solving a variational inequality (VI) with a particular nonlinear op erator and a simple feasible set. Under natural assumptions on the product ion\, consumption and factor operators the NPCE exists\, and it is unique. Projecting on the feasible set is a low-cost operation. Therefore\, for s olving the VI we use two projection methods. Each of them requires\, at ea ch step\, few matrix by vector multiplications and allows\, along with con vergence and convergence rate\, establishing complexity bounds. The method s decompose the problem\, so both the primal and the dual variables are co mputed simultaneously. On the other hand\, both methods are pricing mechan isms for establishing NPCE\, which is a generalization of the Walras-Wald equilibrium in a few directions.\n \n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:461@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250609T100000 DTEND;TZID=Asia/Jerusalem:20250613T170000 DTSTAMP:20250521T084245Z URL:https://math.technion.ac.il/en/events/workshop-in-high-dimensional-phe nomena-and-convexity/ SUMMARY:“Workshop in High-dimensional Phenomena and Convexity” DESCRIPTION:Lecturer:\n Location:Nahsholim\n Click here for more informatio n about the workshop.\n CATEGORIES:CMS Activities,Seminars LOCATION:Nahsholim END:VEVENT BEGIN:VEVENT UID:470@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250610T113000 DTEND;TZID=Asia/Jerusalem:20250610T123000 DTSTAMP:20250609T071657Z URL:https://math.technion.ac.il/en/events/tree-builder-random-walk/ SUMMARY:Tree builder random walk DESCRIPTION:Lecturer:Janos Englander (University of Colorado Boulder)\n Loc ation:Meyer building (electrical engeneering)\, room 861\n We investigate a self-interacting random walk\, in a dynamically evolving environment\, w hich is a random tree built by the walker itself\, as it walks around. Tha t is\, the walker and the graph on which it moves mutually influence each other. At discrete time units\, right before stepping\, the walker adds a random number (possibly zero) leaves to its current position. We assume th at the number of leaves at each time unit are independent\, but we do not assume that they are identically distributed\, resulting thus in a time in -homogeneous setting. Properties of the walk (transience/recurrence\, gett ing stuck) as well as the structure of the generated random trees (limitin g degree\, distribution\, maximal degree etc.) are discussed. A coupling w ith the well-known preferential attachment model of Barabási and Albert t urns out to be useful in the appropriate regime. This is joint work with R . Ribeiro (Denver/Rio de Janeiro)\, G. Iacobelli (Rio de Janeiro) and G. P ete (Budapest).\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:467@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250611T123000 DTEND;TZID=Asia/Jerusalem:20250611T133000 DTSTAMP:20250530T104603Z URL:https://math.technion.ac.il/en/events/%d7%a2%d7%99%d7%a7%d7%a8%d7%95%d 7%9f-%d7%94%d7%90%d7%99-%d7%95%d7%93%d7%90%d7%95%d7%aa-%d7%91%d7%99%d7%9f- %d7%9e%d7%a9%d7%97%d7%a7%d7%99-%d7%9e%d7%96%d7%9c-%d7%9c%d7%aa%d7%95%d7%a8 %d7%aa-%d7%94%d7%90/ SUMMARY:עיקרון האי-ודאות: בין משחקי מזל לתורת האינפורמציה הקוונטית DESCRIPTION:Lecturer:Gilad Gour (Technion)\n Location:Amado 232\n מה מש ותף בין קובייה הוגנת\, מכונת מזל ועולם הק וונטים? בהרצאה זו נחקור את עיקרון האי-ודא ות דרך עיניה של תורת ההסתברות ומשחקי מזל פשוטים\, ונבין כיצד הוא מופיע בלב הפיזיקה הקוונטית. נציג גרסה מדויקת ועדינה במיוח ד של העיקרון\, המבוססת על השוואת התפלגויו ת הסתברותיות. ההרצאה מתאימה לסטודנטים בש נתם הראשונה ואינה דורשת ידע מוקדם בפיזיק ה.\n CATEGORIES:Math Club,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:421@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250611T143000 DTEND;TZID=Asia/Jerusalem:20250611T152000 DTSTAMP:20250608T135031Z URL:https://math.technion.ac.il/en/events/ofir-gorodetsky/ SUMMARY:Ofir Gorodetsky (Technion) - Introduction to random multiplicative functions DESCRIPTION:Lecturer:Ofir Gorodetsky\n Location:814 Amado\n A random multip licative function is a multiplicative function on the positive integers wh ose values on primes are i.i.d. random variables.\nThe simplest example is the Steinhaus function\, which is a completely multiplicative function wi th alpha(p) uniformly distributed on the unit circle. A basic question in the field is finding the limiting distribution of the (normalized) sum of alpha(n) from n=1 to n=x\, possibly restricted to a subset of integers of interest. This question is currently resolved only in a few cases.\nWe sha ll describe the existing approaches to tackle this question and then expla in our recent work\, joint with Mo Dick Wong (Durham University)\, where w e are able to find the limiting distribution in many new instances of inte rest. The distribution we find is non-Gaussian\, in contrast to previous w orks.\nNo background in number theory is required.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:464@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250612T113000 DTEND;TZID=Asia/Jerusalem:20250612T123000 DTSTAMP:20250608T063802Z URL:https://math.technion.ac.il/en/events/tba-32/ SUMMARY:Primitivity Testing in Free Group Algebras via Duality DESCRIPTION:Lecturer:Matan Seidel (TAU)\n Location:\n Let F be a free group and K a field. The free group algebra K[F] bears a strong resemblance to F\, making it an excellent tool in the study of free groups. For example\, by a theorem due to Cohn and Lewin\, one-sided ideals in K[F] are free as K[F]-modules\, analogously to the Nielsen-Schreier theorem. I will discus s this resemblance\, along with other motivations for our interest in K[F] arising from the theory of word measures. I will then present a new algor ithm for deciding if a given element is part of some basis of a given idea l\, similarly to what Whitehead's algorithm performs in free groups. Based on joint work with Danielle Ernst-West and Doron Puder.\n CATEGORIES:Geometry and Topology Seminar,Seminars END:VEVENT BEGIN:VEVENT UID:456@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250612T133000 DTEND;TZID=Asia/Jerusalem:20250612T143000 DTSTAMP:20250605T101544Z URL:https://math.technion.ac.il/en/events/tba-24/ SUMMARY:Homology and K-theory for self-similar group actions DESCRIPTION:Lecturer:Alistair Miller (University of Southern Denmark)\n Loc ation:Amado 619 and zoom\n Self-similar groups are groups of automorphisms of infinite rooted trees obeying a simple but powerful rule. Under this r ule\, groups with exotic properties can be generated from very basic start ing data\, most famously the Grigorchuk group which was the first example of a group with intermediate growth.\nNekrashevych introduced a groupoid a nd a C*-algebra for a self-similar group action on a tree as models for so me underlying noncommutative space for the system. Our goal is to compute the K-theory of the C*-algebra and the homology of the groupoid. Our main theorem provides long exact sequences which reduce the problems to group t heory. I will demonstrate how to apply this theorem to fully compute homol ogy and K-theory through the example of the Grigorchuk group.\nThis is joi nt work with Benjamin Steinberg.\n https://us02web.zoom.us/j/89193473512 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 619 and zoom END:VEVENT BEGIN:VEVENT UID:471@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250615T143000 DTEND;TZID=Asia/Jerusalem:20250615T153000 DTSTAMP:20250609T090034Z URL:https://math.technion.ac.il/en/events/finding-nonlinear-production-con sumption-equilibrium-continued/ SUMMARY:Finding Nonlinear Production-Consumption Equilibrium (Continued) DESCRIPTION:Lecturer:Roman Polyak (George Mason University) \n Location:Ro om 814\, Amado Mathematics Building \n We introduce and study nonlinear p roduction-consumption equilibrium (NPCE). The NPCE is a combination and ge neralization of both classical linear programming (LP) and classical input -output (IO) models. In contrast to LP and IO the NPCE has both production and consumption components. Moreover\, the production cost\, the consumpt ion and the factors (resources) availability are not fixed. Instead\, they are correspondent functions of the production output\, prices of goods an d prices of factors. At the NPCE the total production cost reaches its min imum\, while the total consumption\, without factors expenses\, reaches it s maximum. At the same time the production cost is consistent with the pro duction output\, the\nconsumption is consistent with the prices for goods\ , and the factors availability is consistent with prices for factors. Find ing NPCE is equivalent to solving a variational inequality (VI) with a par ticular nonlinear operator and a simple feasible set. Under natural assump tions on the production\, consumption and factor operators the NPCE exists \, and it is unique. Projecting on the feasible set is a low-cost operatio n. Therefore\, for solving the VI we use two projection methods. Each of t hem requires\, at each step\, few matrix by vector multiplications and all ows\, along with convergence and convergence rate\, establishing complexit y bounds. The methods decompose the problem\, so both the primal and the d ual variables are computed simultaneously. On the other hand\, both method s are pricing mechanisms for establishing NPCE\, which is a generalization of the Walras-Wald equilibrium in a few directions.\n\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Room 814\, Amado Mathematics Building END:VEVENT BEGIN:VEVENT UID:446@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250616T123000 DTEND;TZID=Asia/Jerusalem:20250616T133000 DTSTAMP:20250428T011915Z URL:https://math.technion.ac.il/en/events/tba-29/ SUMMARY:TBA DESCRIPTION:Lecturer:Yuval Yifrah (UZ)\n Location:Amado 814\n \n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:433@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250617T143000 DTEND;TZID=Asia/Jerusalem:20250617T153000 DTSTAMP:20250615T165402Z URL:https://math.technion.ac.il/en/events/noga-alon/ SUMMARY:CANCELED: CS Colloquium: Noga Alon (Princeton) -- Constructive and non-constructive combinatorics DESCRIPTION:Lecturer:Noga Alon\n Location:337 Taub\n I will describe severa l old and new applications of topological and algebraic methods in the der ivation of combinatorial results. In all of them the proofs provide no eff icient procedures for solving the corresponding algorithmic questions. The problem of finding such procedures (or convincing reasons indicating that they are unlikely to exist) is an intriguing challenge and I will mention some progress in the study of this problem too.\n CATEGORIES:Colloquium,Combinatorics Seminar,Seminars LOCATION:337 Taub END:VEVENT BEGIN:VEVENT UID:473@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250618T133000 DTEND;TZID=Asia/Jerusalem:20250618T143000 DTSTAMP:20250610T082713Z URL:https://math.technion.ac.il/en/events/optimal-hardy-weights-for-the-p- dirichlet-integral/ SUMMARY:Optimal Hardy-weights for the p-Dirichlet integral DESCRIPTION:Lecturer:Yongjun Hou (Technion)\n Location:8th floor Faculty Lo unge\, Amado Bldg\n \n\n\n\nIn this talk\, we start with the classical Har dy inequality. Then we define the p-Dirichlet integral with a potential an d the p-Laplace equation with a potential. We review some fundamental conc epts in criticality theory\, such as Hardy-weights\, criticality\, subcrit icality\, supercriticality\, null-sequences\, and ground states\, and an A gmon-Allegretto-Piepenbrink type theorem. After that\, we present optimal Hardy-weights for the p-Dirichlet integral. We explain part of the proof a fter recalling some characterizations of criticality. In the end\, we disc uss further extensions including my current work.\n\n\n\n\n\n CATEGORIES:Pizza Seminar,Seminars LOCATION:8th floor Faculty Lounge\, Amado Bldg END:VEVENT BEGIN:VEVENT UID:423@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250618T143000 DTEND;TZID=Asia/Jerusalem:20250618T152000 DTSTAMP:20250615T165416Z URL:https://math.technion.ac.il/en/events/evgeny-feigin/ SUMMARY:CANCELED: Evgeny Feigin (Tel Aviv) -- Poset polytopes and applicati ons in algebra and geometry DESCRIPTION:Lecturer:Evgeny Feigin\n Location:814 Amado\n The Stanley chain polytope of a finite poset P is defined by the set of inequalities labele d by the maximal chains in P. These polytopes have many nice properties an d show up in various applications. We will introduce a new class of polyto pes\, generalizing the case of chain polytopes. The defining inequalities in our case are labeled by all subposets of P. We will discuss the Minkows ki sum property of the generalized chain polytopes and explain the importa nce of this property for applications in the theory of Grassmann varieties . If time permits\, we will also discuss the case of generalized marked ch ain polytopes. Partially based on a joint work with Wojciech Samotij.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:457@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250619T133000 DTEND;TZID=Asia/Jerusalem:20250619T143000 DTSTAMP:20250520T125221Z URL:https://math.technion.ac.il/en/events/pointwise-spectral-equivalence-o f-noncommutative-polynomials/ SUMMARY:Pointwise spectral equivalence of noncommutative polynomials DESCRIPTION:Lecturer:Jurij Volcic (University of Aukland)\n Location:Amado 619 and zoom\n A noncommutative polynomial (an element of the free algebra ) can be viewed as a function from tuples of square matrices to square mat rices\, of arbitrary sizes. This view is adopted in free analysis\, where noncommutative polynomials are prototypical examples of more general nonco mmutative functions. From this perspective\, there is a common problem of how much info about a noncommutative polynomial can be recovered from the features of its matrix evaluations. This talk addresses an aspect of this problem\, by classifying pairs of noncommutative polynomials whose evaluat ions share common spectral properties. Concretely\, the talk considers pai rs of noncommutative polynomials that have pointwise the same rank\, eigen values\, norm\, or similar values. For each of these pointwise equivalence s\, a counterpart in the free algebra (that is\, a structure governing it) is presented. Various examples and further directions are also discussed. \n https://us02web.zoom.us/j/89193473512 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 619 and zoom END:VEVENT BEGIN:VEVENT UID:475@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250625T123000 DTEND;TZID=Asia/Jerusalem:20250625T133000 DTSTAMP:20250625T061738Z URL:https://math.technion.ac.il/en/events/width-questions/ SUMMARY:Width questions DESCRIPTION:Lecturer:Chen Meiri (Technion)\n Location:https://technion.zoom .us/j/95457797242 \n \nLet G be group and X a subset. The width of X in G is the minimal integer n such that every element in the subgroup generated by X is a product of at most n elements of X or their inverses. If no suc h n exists\, we say that the width is infinite. In this talk we will expla in how\, for certain groups G and certain sets X\, we can use non-standard models of the first order theory of G to answer questions about width.\n\ n\n CATEGORIES:Math Club,Seminars LOCATION:https://technion.zoom.us/j/95457797242 END:VEVENT BEGIN:VEVENT UID:474@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250625T140000 DTEND;TZID=Asia/Jerusalem:20250625T150000 DTSTAMP:20250618T102717Z URL:https://math.technion.ac.il/en/events/structure-and-flexibility-in-mul ti-task-neural-activity/ SUMMARY:Structure and Flexibility in Multi-Task Neural Activity DESCRIPTION:Lecturer:Elia Turner \n Location:Zoom / Fishbach 430 \n In thi s seminar\, the representation and differentiation of multiple tasks in ne ural systems will be examined\, drawing on both theoretical models and exp erimental data. The presentation will begin with a brief overview of previ ous work on recurrent neural networks and structural representations of co mputation\, followed by recent analyses of population calcium imaging data . The focus is on two complementary themes: the relationship between anato mical neurons and functional network structure\, and the temporal dynamics of trial-to-trial activity across tasks. Through a range of geometric\, s tatistical\, and structure-aware analyses\, the investigation explores the extent to which neural activity patterns repeat\, generalize\, or reorgan ize in response to task context. This ongoing work seeks to uncover invari ant substructures and context-specific modulations that support flexible    computation in the brain\n \;\nAdvisor : Prof.  Omri Barak\n http s://technion.zoom.us/j/94309093376 CATEGORIES:Graduation Seminars,Seminars LOCATION:Zoom / Fishbach 430 END:VEVENT BEGIN:VEVENT UID:424@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250625T143000 DTEND;TZID=Asia/Jerusalem:20250625T152000 DTSTAMP:20250622T141040Z URL:https://math.technion.ac.il/en/events/yuri-rabinovich/ SUMMARY:CANCELED: Yuri Rabinovich (Haifa) -- TBA DESCRIPTION:Lecturer:Yuri Rabinovich\n Location:814 Amado\n TBA\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:425@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250702T143000 DTEND;TZID=Asia/Jerusalem:20250702T152000 DTSTAMP:20250630T155655Z URL:https://math.technion.ac.il/en/events/tba-38/ SUMMARY:No seminar this week! DESCRIPTION:Lecturer:\n Location:814 Amado\n TBA\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:402@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250703T113000 DTEND;TZID=Asia/Jerusalem:20250703T123000 DTSTAMP:20250701T083716Z URL:https://math.technion.ac.il/en/events/tba-19/ SUMMARY:Generalized Measures in Symplectic Topology DESCRIPTION:Lecturer:Adi Dickstein (TAU)\n Location:Amado 919\n Mathematics offers various notions of "generalized measures." In this talk\, I will f ocus on two key examples from topology: standard Borel measures and the id eal-valued measures introduced by Gromov. Each has a symplectic analogue\, which plays a central role in many results in symplectic topology. I will explain how these symplectic generalized measures relate to their topolog ical counterparts via the Poisson bracket\, and describe applications of i deal-valued measures in symplectic rigidity. This talk is based on joint w orks with Yaniv Ganor\, Leonid Polterovich and Frol Zapolsky.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:478@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250703T123000 DTEND;TZID=Asia/Jerusalem:20250703T133000 DTSTAMP:20250630T161500Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-a-hari sh-chandra-theorem-symmetric-superspaces/ SUMMARY:Cable Car Algebra Seminar: A Harish-Chandra Theorem Symmetric Super spaces DESCRIPTION:Lecturer:Shifi Reif (BIU)\n Location:Technion\, Amado Building\ , Room 814\n The universal enveloping algebra of a Lie superalgebra admits an "anti-center". Gorelik introduced this object in 1999 and computed the space up to isomorphism. We shall define these objects\, present the clas sical results and generalize them in the context of symmetric spaces.\nJoi nt work with Siddhartha Sahi\, Vera Serganova and Alexander Sherman.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:477@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250703T133000 DTEND;TZID=Asia/Jerusalem:20250703T143000 DTSTAMP:20250630T161328Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-higher -lie-characters-root-enumeration-asymptotics-and-permutation-statistics/ SUMMARY:Cable Car Algebra Seminar: Higher Lie characters: root enumeration\ , asymptotics and permutation statistics DESCRIPTION:Lecturer:Ron Adin (BIU)\n Location:Technion\, Amado Building\, Room 814\n This talk outlines three distinct aspects of higher Lie charact ers.\nThe k-th root enumerator of a finite group G is an integer valued fu nction on G\, which counts the number of k-th roots of each element. A lon g-standing open problem is to classify the finite groups for which the k-t h root enumerator is a proper (non-virtual) character for all k. Extending results of Scharf and Thibon\, we show that for all classical Weyl groups \, all k-th root enumerators are proper. The proof is constructive\, and p resents the root enumerator as a multiplicity-free sum of higher Lie chara cters of classical types.\nThe decomposition of higher Lie characters into irreducibles is an eighty years old problem of Thrall. Coarse versions of this problem were studied by Desarmenien-Wachs\, Reiner-Webb\, and others . We present an asymptotic solution.\nFinally\, we apply higher Lie charac ters to prove a permutation-statistics refinement of an elegant result com paring the numbers of permutations with cycles of only even and only odd l engths.\n\nBased on joint works with Pal Hegedus\, Yuval Roichman and Nata lia Tsilevich.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:459@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250703T133000 DTEND;TZID=Asia/Jerusalem:20250703T143000 DTSTAMP:20250707T102527Z URL:https://math.technion.ac.il/en/events/tba-30/ SUMMARY:Determinants of random unitary pencils DESCRIPTION:Lecturer:Mike Jury (University of Florida)\n Location:zoom\n Ab stract here: https://adoronmath.wordpress.com/wp-content/uploads/2025/06/a bstract_michael_jury.pdf\n https://us02web.zoom.us/j/89193473512 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:zoom END:VEVENT BEGIN:VEVENT UID:438@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250707T123000 DTEND;TZID=Asia/Jerusalem:20250707T133000 DTSTAMP:20250701T090957Z URL:https://math.technion.ac.il/en/events/tba-25/ SUMMARY:Hecke spectrum and periodic orbits on PGL_3: towards a higher-rank zeta theory DESCRIPTION:Lecturer:Sanghoon Kwon (Catholic University of Korea)\n Locatio n:Amado 814\n We investigate the relationship between the Hecke spectrum a nd periodic orbits on arithmetic quotients of the Bruhat–Tits building f or PGL3 over a field of formal series. In this setting\, closed geodesics correspond to conjugacy classes of hyperbolic elements\, and their enumera tion naturally leads to zeta functions that generalize Ihara’s zeta func tion from rank one. These zeta functions—defined in terms of edge and ch amber structures—reflect both geometric and spectral data\, although the precise nature of this correspondence in higher rank is not yet fully und erstood. We outline how Hecke operators act on the space of automorphic fo rms and how their spectral decomposition suggests deeper connections with the analytic properties of the zeta functions. The talk will conclude with a discussion of ongoing questions\, such as the search for identities bet ween different types of zeta functions\, and the explicit construction of periodic orbits using tools from higher-dimensional continued fractions.\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:481@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250707T133000 DTEND;TZID=Asia/Jerusalem:20250707T143000 DTSTAMP:20250702T075217Z URL:https://math.technion.ac.il/en/events/iwahori-spherical-whittaker-func tions/ SUMMARY:Iwahori Spherical Whittaker Functions DESCRIPTION:Lecturer:Markos Karameris \n Location:zoom\n Advisor: Prof. Mos he Baruch\n\n \;\n\nAbstract is attached\n https://technion.zoom.us/j/ 95541453620 CATEGORIES:Graduation Seminars,Seminars LOCATION:zoom END:VEVENT BEGIN:VEVENT UID:484@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250708T113000 DTEND;TZID=Asia/Jerusalem:20250708T123000 DTSTAMP:20250706T080601Z URL:https://math.technion.ac.il/en/events/the-free-energy-of-an-enriched-c ontinuous-random-energy-model-in-the-weak-correlation-regime/ SUMMARY:The free energy of an enriched continuous random energy model in th e weak correlation regime DESCRIPTION:Lecturer:Fu-Hsuan Ho (Weizmann)\n Location:Meyer building (elec trical engeneering)\, room 861\n Recently\, there has been an attempt to r ewrite the free energy of spin glass models as a solution to a Hamilton-Ja cobi equation. In the talk\, I will overview the efforts and the results t hat several people have achieved. Then\, I will talk about an on-going wor k with Alexander Alban and Justin Ko where we try to apply this framework to the branching random walk setting. In the weak correlation regime\, whe re the CREM’s covariance function A is bounded above by the identity\, w e show that the free energy is given by the Hopf formula. In contrast\, we provide an example outside of the weak regime\, where A is a two-segment linear function exceeding the identity. Here\, the Hamilton-Jacobi framewo rk no longer applies\, and a formal application of the associated variatio nal principle fails to yield the correct free energy.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:483@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250708T133000 DTEND;TZID=Asia/Jerusalem:20250708T143000 DTSTAMP:20250702T202232Z URL:https://math.technion.ac.il/en/events/towards-a-floquet-theory-for-per iodic-jacobi-matrices-on-trees/ SUMMARY:Towards a Floquet Theory for Periodic Jacobi Matrices on Tre es DESCRIPTION:Lecturer:Jonathan Breuer\n Location:Amado 814\n The study of pe riodic Jacobi matrices on the line is a classical subject in spectral theo ry\, motivated by condensed matter physics and having connections to ortho gonal polynomial theory\, potential theory and other areas of mathematics. In this talk we will discuss ongoing work that attempts to generalize the theory to more general trees\, with an emphasis on Floquet theory which d escribes the structure of generalized eigenfunctions. We will describe som e results obtained in joint works with Jess Banks\, Jorge Garza Vargas\, E yal Seelig and Barry Simon.\n LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:476@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250709T123000 DTEND;TZID=Asia/Jerusalem:20250709T133000 DTSTAMP:20250626T115116Z URL:https://math.technion.ac.il/en/events/%d7%a9%d7%97%d7%96%d7%95%d7%a8-% d7%a4%d7%90%d7%96%d7%94-%d7%91%d7%90%d7%9e%d7%a6%d7%a2%d7%95%d7%aa-%d7%90% d7%9c%d7%92%d7%95%d7%a8%d7%99%d7%aa%d7%9e%d7%99%d7%9d-%d7%95%d7%a8%d7%a9%d 7%aa%d7%95%d7%aa/ SUMMARY:שחזור פאזה באמצעות אלגוריתמים ורשתו ת נוירונים DESCRIPTION:Lecturer:Orr Shalit (Technion)\n Location:Amado 232\n \n\n\n\n\ n\n\n\nקרן אור העוברת דרך האטמוספירה אינה מ תקדמת בקו ישר -- היא נשברת ומתעקמת אינספו ר פעמים בדרכה מהגוף הנצפה אל עינינו. במקו ם לראות תמונה חדה\, אנו רואים תמונה מטושט שת ומעוותת. למעשה\, בגלל הטורבולנציה האטמ וספירית\, העיוות והטשטוש משתנים מרגע לרג ע. בחיי היום-יום התופעה הזו אינה מפריעה ל נו כלל והיא אפילו חביבה למדי: היא זו שאחר אית לנצנוץ הכוכבים. אך בהקשרים מדעיים או צבאיים היינו רוצים לדעת מהי ההפרעה הנוצר ת\, כדי לתקן אותה. אם נדע לתקן את ההפרעה בז מן אמת\, נוכל לקבל תמונות חדות של עצמים רח וקים\, ואף למקד אלומת לייזר בצורה מדויקת אל אותם עצמים -- ולפוצץ אותם\, אם הם נעים י ותר מדי מהר לכיווננו...\n\nהתחום ההנדסי העו סק בזיהוי ותיקון הפרעות אופטיות הנובעות מטורבולנציה אטמוספרית נקרא ״אופטיקה א דפטיבית״\, ובעיית היסוד בתחום זה נקראת ״ בעיית שחזור הפאזה״. בהרצאה זו אני מתכוון לתאר בקצרה את הרקע האלקטרו-אופטי של בעיי ת שחזור הפאזה\, לנסח אותה כבעיה מתמטית טה ורה\, ולהציג שתי שיטות מקובלות לפתרונה. ה שיטה הראשונה היא אלגוריתם איטרטיבי פשוט להפליא. השיטה השנייה מבוססת על רשתות נוי רונים\, והצגתה תהיה גם הזדמנות להראות כיצ ד ניתן לפתור בעיה הפוכה באמצעות רשתות נו ירונים.\n\nההרצאה מיועדת לסטודנטים לתואר ראשון. לא נדרש כל רקע באופטיקה או ברשתות נוירונים.\n\n\n\n\n\n\n\n CATEGORIES:Math Club,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:480@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250709T130000 DTEND;TZID=Asia/Jerusalem:20250709T140000 DTSTAMP:20250701T063551Z URL:https://math.technion.ac.il/en/events/%d7%98%d7%a7%d7%a1-%d7%9e%d7%a6% d7%98%d7%99%d7%99%d7%a0%d7%99-%d7%a0%d7%a9%d7%99%d7%90-%d7%95%d7%93%d7%99% d7%a7%d7%9f-%d7%9c%d7%a9%d7%a0%d7%aa-%d7%aa%d7%a9%d7%a4%d7%93/ SUMMARY:טקס מצטייני נשיא ודיקן לשנת תשפ"ד DESCRIPTION:Lecturer:\n Location:\n \n CATEGORIES:Faculty Events,Seminars END:VEVENT BEGIN:VEVENT UID:426@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250709T143000 DTEND;TZID=Asia/Jerusalem:20250709T152000 DTSTAMP:20250706T170514Z URL:https://math.technion.ac.il/en/events/shay-moran/ SUMMARY:Shay Moran (Technion) -- Differentially Private Linear Algebra DESCRIPTION:Lecturer:Shay Moran\n Location:814 Amado\n Differential privacy (DP) has emerged as a powerful framework for designing algorithms that pr otect sensitive data. In this talk\, I will present a line of work that ex plores the intersection of differential privacy and linear algebra\, intro ducing efficient DP algorithms for fundamental algebraic tasks: solving sy stems of linear equations over arbitrary fields\, linear inequalities over the reals\, and computing affine spans and convex hulls.\n\nOur algorithm s for solving equalities are strongly polynomial\, while those for inequal ities are only weakly polynomial—and this gap is provably inherent. As a n application of these techniques\, we obtain new efficient DP algorithms for learning halfspaces and affine subspaces\, tasks central to modern mac hine learning.\n\nI will not assume familiarity with differential privacy and will begin by reviewing the definition in detail.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:479@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250713T143000 DTEND;TZID=Asia/Jerusalem:20250713T153000 DTSTAMP:20250701T063331Z URL:https://math.technion.ac.il/en/events/finding-nonlinear-production-con sumption-equilibrium-continued-2/ SUMMARY:Finding Nonlinear Production-Consumption Equilibrium (Continued) DESCRIPTION:Lecturer:Roman Polyak (George Mason University)\n Location:Amad o 814\n Abstract:  We introduce and study nonlinear production-consumptio n equilibrium (NPCE). The NPCE is a combination and generalization of both classical linear programming (LP) and classical input-output (IO) models. In contrast to LP and IO the NPCE has both production and consumption com ponents. Moreover\, the production cost\, the consumption and the factors (resources) availability are not fixed. Instead\, they are correspondent f unctions of the production output\, prices of goods and prices of factors. At the NPCE the total production cost reaches its minimum\, while the tot al consumption\, without factors expenses\, reaches its maximum. At the sa me time the production cost is consistent with the production output\, the \n\nconsumption is consistent with the prices for goods\, and the factors availability is consistent with prices for factors. Finding NPCE is equiva lent to solving a variational inequality (VI) with a particular nonlinear operator and a simple feasible set. Under natural assumptions on the produ ction\, consumption and factor operators the NPCE exists\, and it is uniqu e. Projecting on the feasible set is a low-cost operation. Therefore\, for solving the VI we use two projection methods. Each of them requires\, at each step\, few matrix by vector multiplications and allows\, along with c onvergence and convergence rate\, establishing complexity bounds. The meth ods decompose the problem\, so both the primal and the dual variables are computed simultaneously. On the other hand\, both methods are pricing mech anisms for establishing NPCE\, which is a generalization of the Walras-Wal d equilibrium in a few directions.\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:482@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250714T153000 DTEND;TZID=Asia/Jerusalem:20250714T163000 DTSTAMP:20250702T093533Z URL:https://math.technion.ac.il/en/events/supersingular-isogeny-graphs-qua ternion-algebras-modular-forms-and-cryptographic-applications/ SUMMARY:Supersingular isogeny graphs\, quaternion algebras\, modular forms and cryptographic applications. DESCRIPTION:Lecturer:Eyal Goren (McGill University)\n Location:Amado 232\n Abstract: \n\nSupersingular elliptic curves are a special kind of ellipti c curves over finite fields. Their study\, that had begun more than a cent ury ago\, is intimately connected to quaternion algebra and modular forms. In recent years supersingular elliptic curves (and their generalizations) have found several cryptographic applications that\, in turn\, led to fur ther theoretical developments. \n\nAssuming minimal background\, we will explains what are these elliptic curves and what is their connection to qu aternion algebras and applications to cryptography. We will present severa l new results inspired by cryptographic problems\, but that are eventually stand-alone results concerning lattices and modular forms\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:485@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250716T143000 DTEND;TZID=Asia/Jerusalem:20250716T153000 DTSTAMP:20250713T062344Z URL:https://math.technion.ac.il/en/events/probabilistic-construction-of-pr oportional-edge-colorings/ SUMMARY:Probabilistic Construction of Proportional Edge Colorings DESCRIPTION:Lecturer:\n Location:Amado 817\n The abstract is attached\n\nAd visor: Dr. Chaim Zohar\n\n \;\n\n \;\n CATEGORIES:Combinatorics Seminar,Graduation Seminars,Seminars LOCATION:Amado 817 END:VEVENT BEGIN:VEVENT UID:486@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250716T143000 DTEND;TZID=Asia/Jerusalem:20250716T152000 DTSTAMP:20250713T164841Z URL:https://math.technion.ac.il/en/events/hillel-raz/ SUMMARY:Hillel Raz (Technion) -- Probabilistic Construction of Proportional Edge Colorings DESCRIPTION:Lecturer:Hillel Raz\n Location:814 Amado\n A recurring theme in the study of various combinatorial structures and their applications is l ooking at the frequencies of small substructures occurring in them. A clas sical example of such a quantity is #H\, the number of copies of H that oc cur as an induced subgraph in the random graph G(n\,p)\, where each two of the n vertices are connected by an edge independently with probability p. It was discovered by Janson (1995) that the distribution of #H in G(n\,p) has variance Θ(n^(2|H|-2)) and coverages to a normal distribution under proper normalization\, apart from some special degenerate cases. In these degenerate cases\, all subgraphs of size three occur in H exactly in propo rtion to their average frequencies in G(n\, p). The question of existence of such proportional graphs is nontrivial. Janson and Spencer (1992) showe d that proportional graphs exist for any rational p and all sufficiently l arge n satisfying some modulo conditions.\n\n\n\nIn this talk\, We extend the notion of proportionality to edge-colorings of the complete graph with any number of colors\, rather than two. We give a probabilistic construct ion of proportional edge-colorings with respect to random models where eve ry edge is independently assigned a random color according to some rationa l probability vector\, extending the result on graphs by Janson and Spence r. The extension both contains new ideas related to many colors\, and prov ides new elements streamlining the existing r=2 proof. The idea of this co nstruction is algorithmic\, and we find an explicit minimal example of an 81-vertex proportional 3-coloring via a computer search which follows a si milar approach.\n\n\n\nMSc seminar\;  Advisor: Chaim Even-Zohar\n CATEGORIES:Combinatorics Seminar,Graduation Seminars,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:487@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250720T143000 DTEND;TZID=Asia/Jerusalem:20250720T153000 DTSTAMP:20250714T055229Z URL:https://math.technion.ac.il/en/events/the-best-approximation-pair-prob lem-relative-to-two-subsets-of-a-normed-space/ SUMMARY:The best approximation pair problem relative to two subsets of a no rmed space DESCRIPTION:Lecturer:Daniel Reem (University of Haifa) \n Location:Amado 8 14\n In the classical best approximation pair (BAP) problem\,  one is giv en two nonempty\, closed\, convex and disjoint subsets of a finite- or an infinite-dimensional Hilbert space\, and the goal is to find a pair of p oints\, each from each subset\, which realizes the distance between the s ubsets. This problem\, which has a long history\, has found applications in science and technology. We discuss the problem in more general normed spaces and with possibly non-convex subsets\, and focus our attention on the issues of uniqueness and existence of the solution to the problem. To the best of our knowledge these fundamental issues have not received muc h attention. In particular\, we present several sufficient geometric cond itions for the (at most) uniqueness of a BAP relative to these subsets. T hese conditions are related to the structure of the boundaries of the sub sets\, their relative orientation\, and the structure of the unit sphere  of the space. In addition\, we present many sufficient conditions for the  existence of a BAP. Our results allow us to significantly extend the hor izon of the recent alternating simultaneous Halpern-Lions-Wittmann-Bausch ke (A-S-HLWB) algorithm [Y. Censor\, R. Mansour\, and D. Reem\, The alter nating simultaneous Halpern-Lions-Wittmann-Bauschke algorithm for finding the best approximation pair for two disjoint intersections of convex sets \, J.Approx. Theory 301 (2024)\, Paper No. 106045 (22 pages)] for solving  the BAP problem. This talk is based on a joint work with Yair Censor.\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:488@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250803T143000 DTEND;TZID=Asia/Jerusalem:20250803T153000 DTSTAMP:20250722T130812Z URL:https://math.technion.ac.il/en/events/the-unitary-group-in-the-strong- topology-and-a-construction-of-dixmier-douady/ SUMMARY:The unitary group in the strong topology and a construction of Dixm ier-Douady DESCRIPTION:Lecturer:Marina Prokhorova (University of Haifa)\n Location:Ama do 814\n Abstract:\nBy a theorem of Dixmier-Douady\, the unitary group of an infinite-dimensional Hilbert space $H$ in the strong operator topology is contractible. The Dixmier-Douady proof is based on an explicit const ruction of families of subspaces and operators in $H$ with rather special properties. Unfortunately\, their proof leaves hidden the geometric mean ing of the theorem. In my talk\, I will recall the proof of Dixmier-Douad y and present another\, more geometric proof of this theorem. The talk is based on a recent preprint (arXiv:2504.11646\; joint with N. V. Ivanov).\ n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:489@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250810T143000 DTEND;TZID=Asia/Jerusalem:20250810T153000 DTSTAMP:20250804T052416Z URL:https://math.technion.ac.il/en/events/nonlinear-analysis-and-optimizat ion/ SUMMARY:Nonlinear Analysis and Optimization DESCRIPTION:Lecturer:Kay Barshad (University of Haifa)\n Location:Room 814\ , Amado Mathematics Building\n Abstract:\n\nWe introduce a General Dynamic String-Averaging (GDSA) iterative scheme and investigate its convergence properties in the inconsistent case\, that is\, when the input operators d o not have a common fixed point. The Dynamic String-Averaging Projection ( DSAP) algorithm itself was introduced in a 2013 paper\, where its strong c onvergence and bounded perturbation resilience were studied in the consist ent case (that is\, when the sets under consideration had a nonempty inter section). Results involving combination of the DSAP method with superioriz ation were presented in 2015. The proof of the weak convergence of our GDS A method is based on the notion of “strong coherence” of sequences of operators that was introduced in 2019. This is an improvement of the prope rty of “coherence” of sequences of operators introduced in 2001 by Bau schke and Combettes. Strong coherence provides a more convenient sufficien t convergence condition for methods that employ infinite sequences of oper ators and it turns out to be a useful general tool when applied to proving the convergence of many iterative methods. We combine the ideas of both d ynamic string-averaging and strong coherence in order to analyze our GDSA method for a general class of operators and its bounded perturbation resil ience in the inconsistent case with weak and strong convergence. We then d iscuss an application of the GDSA method to the Superiorization Methodolog y\, developing results on the behavior of its superiorized version.\n\nThi s is joint work with Yair Censor.\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Room 814\, Amado Mathematics Building END:VEVENT BEGIN:VEVENT UID:490@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250812T113000 DTEND;TZID=Asia/Jerusalem:20250812T123000 DTSTAMP:20250807T061110Z URL:https://math.technion.ac.il/en/events/uniqueness-and-longtime-behavior -of-the-completely-positively-correlated-symbiotic-branching-model/ SUMMARY:Uniqueness and Longtime Behavior of the Completely Positively Corre lated Symbiotic Branching Model DESCRIPTION:Lecturer:Eran Avneri (Technion)\n Location:Meyer building (elec trical engeneering)\, room 861\n The symbiotic branching model in \\mathbb {R} describes the behavior of two branching populations migrating in space \\mathbb{R} in terms of a corresponding system of stochastic partial diff erential equations. The system is parametrized with a correlation paramete r \\rho\, which takes values in [-1\,1] and governs the correlation betwee n the branching mechanisms of the two populations. While existence and uni queness for this system were established for \\rho \\in [-1\,1)\, weak uni queness for the completely positively correlated case of \\rho = 1 has bee n an open problem. In this talk\, we solve this problem\, establishing wea k uniqueness for the corresponding system of stochastic partial differenti al equations. The proof uses a new duality between the symbiotic branching model and the well-known parabolic Anderson model. Furthermore\, we use t his duality to investigate the long-term behavior of the completely positi vely correlated symbiotic branching model. We show that\, under suitable i nitial conditions\, after a long time\, one of the populations dies out. W e treat the case of integrable initial conditions and the case of bounded non-integrable initial conditions with well-defined mean. \n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:491@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250819T113000 DTEND;TZID=Asia/Jerusalem:20250819T123000 DTSTAMP:20250811T082819Z URL:https://math.technion.ac.il/en/events/cluster-cluster-model/ SUMMARY:Cluster-cluster model DESCRIPTION:Lecturer:Daniel Sharon (Technion)\n Location:Meyer building (el ectrical engeneering)\, room 861\n The Cluster-cluster model was defined b y Meakin in 1984. Consider a stochastic process on the graph Z^d.Each x in Z^d starts with a cluster of size 1 with probability p in (0\,1] independ ently. Each cluster C performs a continuous time SRW with rate |C|^{-\\alp ha}. If it attempts to move to a vertex occupied by another cluster\, it d oes not move\, and instead the two clusters connect via a new edge. In thi s talk we will present results about explosion\, non-explosion and cluster growth rates\, as a function of the dimension - d\, percolation density  - p and diffusion rate parameter - alpha.\nJoint work with Noam Berger (TUM) and Eviatar Procaccia (Technion)\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:492@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250831T143000 DTEND;TZID=Asia/Jerusalem:20250831T153000 DTSTAMP:20250812T122112Z URL:https://math.technion.ac.il/en/events/unrestricted-douglas-rachford-al gorithms-for-solving-convex-feasibility-problems-in-hilbert-space/ SUMMARY:Unrestricted Douglas-Rachford algorithms for solving convex feasibi lity problems in Hilbert space DESCRIPTION:Lecturer:Kay Barshad (University of Haifa)\n Location:Amado 814 \n Abstract:\n\nIn this work we focus on the convex feasibility problem (C FP) in Hilbert space. A specific method in this area that has gained a lot of interest in recent years is the Douglas-Rachford (DR) algorithm. This algorithm was originally introduced in 1956 for solving stationary and non -stationary heat equations. Then in 1979\, Lions and Mercier adjusted and extended the algorithm with the aim of solving CFPs and even more general problems\, such as finding zeros of the sum of two maximally monotone oper ators. Many developments which implement various concepts concerning this algorithm have occurred during the last decade. We introduce an unrestrict ed DR algorithm\, which provides a general framework for such concepts. Us ing unrestricted products of a finite number of strongly nonexpansive oper ators\, we apply this framework to provide new iterative methods\, where\, inter alia\, such operators may be interlaced between the operators used in the scheme of our unrestricted DR algorithm.\n\nThis is joint work with Aviv Gibali and Simeon Reich.\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:494@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250907T143000 DTEND;TZID=Asia/Jerusalem:20250907T153000 DTSTAMP:20250901T122712Z URL:https://math.technion.ac.il/en/events/using-smoothing-functions-to-obt ain-guarantees-on-the-tightness-of-global-solutions-attained-by-algorithms -for-non-convex-optimization/ SUMMARY:Using Smoothing Functions to Obtain Guarantees on the Tightness of Global Solutions Attained by Algorithms for Non-Convex Optimization DESCRIPTION:Lecturer:Chen Zakaim (Technion)\n Location:Amado 814\n Abstract :\n\nIn this talk\, we will discuss the problem of maximizing a convex fun ction – a problem known to be NP-Hard.\nWhen the objective function and the constraints are twice differentiable\, there exists a known algorithm that solves the problem.\n\nThe novelty of my thesis is in developing an a pproach that also works when the twice-differentiability assumption does n ot hold — for example\, in the case of a function that is the sum of con vex functions.\nNon-smoothness is addressed by approximating the function from above and below with particular smooth functions.\n\nFurthermore\, we show that the method can be extended to functions that are not necessaril y twice differentiable\, and even to problems that are not convex\, by rep resenting them as a difference of two convex functions (DC programming).\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:495@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250907T143000 DTEND;TZID=Asia/Jerusalem:20250907T153000 DTSTAMP:20250902T054847Z URL:https://math.technion.ac.il/en/events/using-smoothing-functions-to-obt ain-guarantees-on-the-tightness-of-global-solutions-attained-by-algorithms -for-non-convex-optimization-2/ SUMMARY:Using Smoothing Functions to Obtain Guarantees on the Tightness of Global solutions Attained by Algorithms for Non-Convex Optimization DESCRIPTION:Lecturer:Chen Zakaim\n Location:Amado 814\n In this talk\, we w ill discuss the problem of maximizing a convex function – a problem know n to be NP-Hard.\nWhen the objective function and the constraints are twic e differentiable\, there exists a known algorithm that solves the problem. \n\nThe novelty of my thesis is in developing an approach that also works when the twice-differentiability assumption does not hold — for example\ , in the case of a function that is the sum of convex functions.\nNon-smoo thness is addressed by approximating the function from above and below wit h particular smooth functions.\n\nFurthermore\, we show that the method ca n be extended to functions that are not necessarily twice differentiable\, and even to problems that are not convex\, by representing them as a diff erence of two convex functions (DC programming).\n\nAdvisor: Prof. Aharon Ben-Tal\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:496@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250914T143000 DTEND;TZID=Asia/Jerusalem:20250914T153000 DTSTAMP:20250908T102706Z URL:https://math.technion.ac.il/en/events/accelerated-iterative-splitting- methods-on-hadamard-manifolds/ SUMMARY:Accelerated Iterative Splitting Methods on Hadamard Manifolds DESCRIPTION:Lecturer:Shikher Sharma (Technion)\n Location:Amado 814\n Accel erated Iterative Splitting Methods on Hadamard\nManifolds\nShikher Sharma\ nEmail: shikhers@campus.technion.ac.il\nDepartment of Mathematics\, The Te chnion- Israel Institute of Technology\, 32000\, Haifa\, Israel.\nAbstract \nThis work aims to solve the monotone inclusion problem\, minimization pr oblem of multiple\nsummands and the generalized Heron problem. We present an innovative approach\,\nthe modified normal S-iteration method\, designe d to approximate common fixed\npoints of nearly nonexpansive sequences and families of operators via the property (A ).\nSome deductions of our resu lts improve some existing results in the literature. To show\nthe applicab ility of our result\, we give application to the inclusion problem via for ward–\nbackward splitting method version of our algorithm and minimizati on problem via\nDouglas–Rachford splitting method version of our algorit hm. To demonstrate the practical\nutility of the algorithm\, we apply it t o the generalized Heron problem.\nKeywords. Fixed points problems\; S-iter ation process\; inclusion problems\; generalized\nHeron problem\nThis is j oint work with D.R. Sahu\, J. C. Yao and Xiaopeng Zhao.\n1\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:497@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250915T123000 DTEND;TZID=Asia/Jerusalem:20250915T133000 DTSTAMP:20250908T163658Z URL:https://math.technion.ac.il/en/events/on-the-bound-of-the-dimension-of -global-sections-of-sheaves-on-k3-surfaces/ SUMMARY:On the bound of the dimension of global sections of sheaves on K3 s urfaces DESCRIPTION:Lecturer:Abed Elhamed Darawshi (Technion)\n Location:Technion\, Amado building\, room 814 \n Inspired by work done for the case of the pr ojective plane and using the theory of stable and semistable sheaves\, we prove the existence of a bound on the dimension of the global sections on K3 surfaces and as a corollary we prove the emptiness of the Brill-Noether loci\, B^r\, under some condition on r.\n CATEGORIES:Algebra Seminar,Graduation Seminars,Seminars LOCATION:Technion\, Amado building\, room 814 END:VEVENT BEGIN:VEVENT UID:498@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250928T143000 DTEND;TZID=Asia/Jerusalem:20250928T153000 DTSTAMP:20250925T095927Z URL:https://math.technion.ac.il/en/events/a-convex-hull-volume-based-anoma ly-detection-method/ SUMMARY:POSTPONED: A Convex Hull Volume-Based Anomaly Detection Method DESCRIPTION:Lecturer:Uri Itai (GTIIT)\n Location:Amado 814\n Abstract: Dete cting out-of-distribution (OOD) data is essential for model reliability. I present a convex-hull (CH)–based anomaly detection method that exploits the observation that OOD samples expand the CH volume. By iteratively rem oving points and tracking volume changes\, the method establishes a decisi on boundary between in- and out-of-distribution data. Tested against seven baselines on ten datasets\, it achieves performance comparable to state-o f-the-art techniques and includes an efficient criterion for identifying w hen this approach offers the greatest advantage.  \n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:493@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251019T090000 DTEND;TZID=Asia/Jerusalem:20251024T180000 DTSTAMP:20250812T122811Z URL:https://math.technion.ac.il/en/events/mathematical-and-statistical-mod elling-of-epidemics/ SUMMARY:Mathematical and Statistical Modelling of Epidemics DESCRIPTION:Lecturer:\n Location:\n For more information:\nMathematical and Statistical Modelling of Epidemics\n\n CATEGORIES:CMS Activities,Seminars END:VEVENT BEGIN:VEVENT UID:503@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251019T113000 DTEND;TZID=Asia/Jerusalem:20251019T123000 DTSTAMP:20251015T085100Z URL:https://math.technion.ac.il/en/events/brunn-minkowski-inequality-in-th e-first-heisenberg-group/ SUMMARY:Brunn Minkowski Inequality in the First Heisenberg Group DESCRIPTION:Lecturer:Ira Isakovich \n Location:Amado 617 \n Seminar abstrac t\n Associate Prof. Liran Rotem - Advisor\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 617 END:VEVENT BEGIN:VEVENT UID:502@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251019T143000 DTEND;TZID=Asia/Jerusalem:20251019T153000 DTSTAMP:20251015T064712Z URL:https://math.technion.ac.il/en/events/partially-adaptive-robust-proces sing-networks/ SUMMARY:Partially Adaptive Robust Processing Networks DESCRIPTION:Lecturer:Shimrit Shtern\n Location:Amado 814\n Abstract:\nFluid models are widely used to approximately optimize the service policy in co mplicated processing networks\, where the stochasticity is replaced by arr ival and service rates. These models can be cast as structured semicontinu ous linear programs (SCLP) which can be solved using dedicated simplex-bas ed solvers. Uncertainty can appear in these models when the arrival and se rvice rates are not known exactly. In the literature\, such models are add ressed via robust optimization. These robust optimization models restrict the controller\, determining the service policy at each point in time\, to be set at the start of the planning horizon\, and do not allow to change it based on revealed information about the uncertainty. We suggest a novel partially adaptive model\, in which we can change the controller based on the state of the system in predefined time points\, and reformulate the r esulting problem as an SCLP for various uncertainty sets.\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:519@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251026T130000 DTEND;TZID=Asia/Jerusalem:20251026T140000 DTSTAMP:20251022T064041Z URL:https://math.technion.ac.il/en/events/on-the-structure-of-statistical- learning-problems/ SUMMARY:On the structure of statistical learning problems DESCRIPTION:Lecturer:Daniel Carmon\n Location:Amado 617 \n Statistical lear ning theory aims to understand when and why learning from random observati ons is possible. Classical theory explains learnability using uniform conv ergence arguments\, which apply whenever the problem has a finite\, suitab ly defined dimension. While this picture is satisfactory in textbook setup s\, it has considerable gaps both in theory and in practice.\nWe resolve t wo such theoretical gaps in our work\, showing that arguments beyond the u niform convergence paradigm are needed to understand the learnability phen omenon. Our first contribution is to prove a tight upper bound for the sam ple complexity of empirical risk minimizers when the learning problem is c onvex\, a well-studied model in the literature. Our second contribution pr ovides a correct characterization of multiclass learnability: (i) we prove that a dimensionality notion by Daniely-Shalev-Swartz is indeed correct f or this setup\, and (ii) use a recently developed topological construction by Januszkiewicz and Świątkowski to supply a counterexample\, proving t he insufficiency of several widely conjectured dimensionality notions. Our third contribution is to analyze graphs inspired by these topological con structions\, and show that they exhibit nontrivial guarantees as small-set expanders\, a structure of ongoing interest in computational complexity t heory.\n\nAdvisor: Prof. Amir Yehudayoff\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 617 END:VEVENT BEGIN:VEVENT UID:520@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251027T113000 DTEND;TZID=Asia/Jerusalem:20251027T123000 DTSTAMP:20251025T001515Z URL:https://math.technion.ac.il/en/events/isolation-phenomenon-in-diophant ine-approximation/ SUMMARY:Isolation phenomenon in Diophantine approximation DESCRIPTION:Lecturer:Nikolay Moshchevitin (Technische Universität Wien)\n Location:Amado 814\n \n\n\n\n\nWe give a brief survey dealing with differe nt isolation results such as discrete parts of Diophantine spectra\, Hall' s rays and isolation phenomenon in the theory of lattices. Also we discuss some functional analogs of  classical results.\n\n\n\n\n\n\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:499@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251027T140000 DTEND;TZID=Asia/Jerusalem:20251027T150000 DTSTAMP:20251015T055712Z URL:https://math.technion.ac.il/en/events/short-range-oversquashing/ SUMMARY:Short-Range Oversquashing DESCRIPTION:Lecturer:Yakov Mishayev\n Location:Amado 814\n Message Passing Neural Networks (MPNNs) are widely used for learning on\n\ngraphs\, but th eir ability to process long-range information is limited by the\n\nphenome non of oversquashing. This limitation has led some researchers to\n\nadvoc ate Graph Transformers as a better alternative\, whereas others suggest th at\n\nit can be mitigated within the MPNN framework\, using virtual nodes or other\n\nrewiring techniques.\n\nIn this work\, we demonstrate that ove rsquashing is not limited to long-range\n\ntasks\, but can also arise in s hort-range problems. This observation allows us\n\nto disentangle two dist inct mechanisms underlying oversquashing: (1) the bot-\n\ntleneck phenomen on\, which can arise even in low-range settings\, and (2) the\n\nvanishing gradient phenomenon\, which is closely associated with long-range\n\ntask s.\n\nWe further show that the short-range bottleneck effect is not captur ed by existing\n\nexplanations for oversquashing\, and that adding virtual nodes does not resolve it.\n\nIn contrast\, transformers do succeed in su ch tasks\, positioning them as the more\n\ncompelling solution to oversqua shing\, compared to specialized MPNNs.\n\n \;\n\nAdvisor: Dr. Nadav Dy m\n\n \;\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:505@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251029T143000 DTEND;TZID=Asia/Jerusalem:20251029T152000 DTSTAMP:20251029T065041Z URL:https://math.technion.ac.il/en/events/yuri-rabinovich-2/ SUMMARY:Yuri Rabinovich (Haifa) -- On Multiplicative Approximation by Measu res with Small Support DESCRIPTION:Lecturer:Yuri Rabinovich \n Location:814 Amado\n Let F be a fam ily of subsets of X. It is well known that any measure m on X can be addit ively approximated by a measure m*\, so that for every S in F:\n\n\n\n* | m(S) - m*(S) | <\; epsilon m(X)\n\n\n\n* the size of the support of m* i s O( VCdim(F) / epsilon^2)\n\n\n\nWe ask whether there exists a parameter of F analogous to VCdim\, which governs the size of support of any m* that multiplicatively approximates m\, i.e.\, for every S in F: (1-epsilon) m* (S) <\; m(S) <\; (1-epsilon) m*(S).\n\n\n\nIt turns out that such a pa rameter exists. It is defined as the length of the longest sequence of set s in F\, so that no S in this sequence is contained in the union of the se ts preceding it. We call it trk(F)\, the triangular rank of F. We discuss some properties of trk(F)\, present another relevant parameter\, and discu ss some applications.\n\n\n\nBased on a joint work with Ilan Newman.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:528@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251030T113000 DTEND;TZID=Asia/Jerusalem:20251030T123000 DTSTAMP:20251029T142845Z URL:https://math.technion.ac.il/en/events/an-algebraic-perspective-of-oute r-automorphism-groups-of-right-angled-artin-groups/ SUMMARY:An algebraic perspective of outer automorphism groups of right-angl ed Artin groups DESCRIPTION:Lecturer:Junseok Kim (Technion) \n Location:Amado 919\n Abstrac t: In this talk\, we will focus on the outer automorphism groups of right- angled Artin groups. I will introduce these groups from a group-theoretic perspective\, covering aspects such as finite generation and the standard representation. Moreover\, the presence or absence of a separating interse ction of links (or SIL-pairs\, for short) plays a crucial role in determin ing the structural behavior of the outer automorphism group. Regarding the notion of SIL-pairs\, we will define a maximal SIL-pair system to combine the parts of graphs that generate SIL-pairs\, so that one can decompose d efining graphs to understand the group structures of the outer automorphis m groups of right-angled Artin groups. We will also see how maximal SIL-pa ir systems help us to detect acylindrical hyperbolicity of a subgroup of t he outer automorphism group of a right-angled Artin group\, called the pur e symmetric outer automorphism group.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:504@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251103T153000 DTEND;TZID=Asia/Jerusalem:20251103T163000 DTSTAMP:20251020T123817Z URL:https://math.technion.ac.il/en/events/inhomogeneous-and-log-concave-ra ndom-matrices-and-efficient-sphere-discretization/ SUMMARY:: Inhomogeneous and log-concave random matrices\, and efficient sph ere discretization DESCRIPTION:Lecturer:Galyna Lifschyts. (Georgia Institute of Technology)\n Location:Amado 232\n How likely is a random matrix to be invertible? This fundamental question is intimately related to the question of estimating t he smallest singular value of the random matrix. We discuss sharp estimate s for the smallest singular value in the case of two novel ensembles of ra ndom matrices: inhomogeneous random matrices (whose entries are independen t\, but the variance profile is fairly general)\, and log-concave isotropi c random matrices. When it comes to the latter\, we will witness an exciti ng general phenomenon: convexity can replace independence in the study of universality in high dimensions. One important tool that we develop is an efficient discretization procedure of the sphere in high dimensions.We wil l flesh out the entertaining proof of this result. The talk will be based on three papers\, two of which are joint with others: one with Tikhomirov and Vershynin\, and another with Fernandez and Mui.\n\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:500@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251104T113000 DTEND;TZID=Asia/Jerusalem:20251104T123000 DTSTAMP:20251026T164110Z URL:https://math.technion.ac.il/en/events/tba-26/ SUMMARY:A Non-commutative Boundary for the Dilation Order DESCRIPTION:Lecturer:Hridoyananda Saikia (Haifa University)\n Location:Amad o 814 and Zoom\n Arveson’s hyperrigidity conjecture concerns the unique extension property (UEP) of representations of C*-algebras with respect to a generating operator system. Bilich and Dor-On showed that the conjectur e does not hold in general. Nevertheless\, the conjecture remains interest ing for several reasons. The states that are maximal in the dilation order fully encapsulate the cyclic representations of a C*-algebra possessing t he UEP. The collection of all such maximal states forms a norm-closed set that remains stable under absolute continuity. In this talk\, we will disc uss an equivalent characterization of the dilation-maximal states in terms of a boundary projection. Subsequently\, we will present a reformulation of Arveson’s hyperrigidity conjecture in terms of the non-commutative to pological properties of this boundary projection. This is joint work with Raphaël Clouâtre.\n https://technion.zoom.us/j/96498034171 (Meeting ID: 964 9803 4171) CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 and Zoom END:VEVENT BEGIN:VEVENT UID:507@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251105T143000 DTEND;TZID=Asia/Jerusalem:20251105T152000 DTSTAMP:20251023T155527Z URL:https://math.technion.ac.il/en/events/igal-sason-3/ SUMMARY:Igal Sason (Technion) -- Some Recent Findings on the Shannon Capaci ty of Graphs DESCRIPTION:Lecturer:Igal Sason \n Location:814 Amado\n The Shannon capacit y of a graph\, as introduced in Shannon’s seminal paper (1956) on zero e rror communication\, plays a key role in understanding the synergy and int eraction between zero-error information theory and graph theory. The impor tance of the Shannon capacity of graphs\, together with the general intrac tability of its computation\, has been emphasized in numerous works.\n\n\n \nThis talk addresses the following of our recent findings related to the Shannon capacity of graphs. 1) An open question concerning a variant of th e Lovász function of a graph was introduced by Schrijver and independentl y by McEliece et al. (1978). The question of whether this variant provides an upper bound on the Shannon capacity of a graph was explicitly stated b y Bi and Tang (2019). We present an explicit example of a graph on 32 vert ices\, which shows that\, in contrast to the Lovász function\, this varia nt does not necessarily upper bound the Shannon capacity of a graph. The e xample resolves this question\, and it clarifies a subtle but significant distinction between these two closely related graph invariants. 2) We prov ide a countably infinite family of connected graphs whose Shannon capaciti es are not attained by the independence number of any finite strong power\ ; these are the first connected graphs having this property\, as the previ ous constructions of such graphs were disconnected. 3) We provide an inequ ality that relates the Shannon capacities of the disjoint union of graphs and their strong product\, and show some of its consequences.\n\n\n\nThe r esults presented in this talk are based on two separate studies\, the latt er conducted in collaboration with Nitay Lavi as part of his Master thesis .\n\n \;\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:536@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251106T113000 DTEND;TZID=Asia/Jerusalem:20251106T123000 DTSTAMP:20251105T104654Z URL:https://math.technion.ac.il/en/events/growth-rates-of-subgroups-of-the -free-group-density-and-convergence/ SUMMARY:Growth rates of subgroups of the free group: density and convergenc e DESCRIPTION:Lecturer:Gal Yehuda (Yale)\n Location:Amado 919\n \nWe will tal k about growth rates of subgroups of a free group. We prove that for every $\\alpha \\in [1\,2r-1]$ there exists a subgroup $H <\; F_r$ whose grow th rate is \\alpha. We also prove a convergence result for the growth rate of the fundamental group of a graph. More precisely\, we prove that if G is an (infinite) graph and $ \\Gamma = \\pi_1(G\, v)$\, then the growth ra te of \\Gamma equals the limit of the growth rate of $\\Gamm_n := \\pi_1(B _n\, v)$\, where $B_n$ is a ball of radius n around v.\n\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:532@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251106T123000 DTEND;TZID=Asia/Jerusalem:20251106T133000 DTSTAMP:20251031T120854Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-on-nor ms-on-harish-chandra-modules/ SUMMARY:Cable Car Algebra Seminar: On norms on Harish-Chandra modules DESCRIPTION:Lecturer:Eitan Sayag (BGU)\n Location:Technion\, Amado Building \, Room 814\n One of the basic results in the theory of representations of real reductive groups is the Casselman-Wallach theorem connecting algebra ic representations to topological representations. We provide a quantitati ve version of this theorem. For that we introduce the notion of "Sobolev g ap" for a Harish-Chandra module. This is a new invariant whose finiteness is highly non-trivial. We determine the Sobolev gap for representations in the unitary dual of the group $SL(2\,R)$ and establish uniform finiteness results (for any real reductive group) for representations of the discret e series and the minimal principal series. We then apply these to study au tomorphic functionals with respect to general lattices in $SL(2\,R)$ and p rove an abstract convexity bound for them. In my presentation\, I will ass ume no prior knowledge of the representation theory of real reductive grou ps or the theory of automorphic forms/representations.\n\nThis is a joint work with Joseph Bernstein\, Pritam Ganguly\, Bernhard Krötz\, Job Kuit\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:531@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251106T133000 DTEND;TZID=Asia/Jerusalem:20251106T143000 DTSTAMP:20251031T120343Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-unirat ionality-and-arithmetic-of-linear-algebraic-groups/ SUMMARY:Cable Car Algebra Seminar: Unirationality and Arithmetic of Linear Algebraic Groups DESCRIPTION:Lecturer:Zev Rosengarten (HUJI)\n Location:Technion\, Amado Bui lding\, Room 814\n In 1984\, Oesterle asked whether a wound unipotent grou p admitting infinitely many rational points over a global function field n ecessarily contains a nontrivial unirational subgroup -- that is\, do rati onal points only arise for a good geometric reason? Though he formulated t he question for wound unipotent groups\, it makes sense for arbitrary line ar algebraic groups -- although one may show that the more general questio n ultimately boils down to the wound unipotent case. Using some recent wor k of mine on the structure of wound unipotent groups\, I shall outline a p ositive answer to Oesterle's question\, and in fact discuss a stronger res ult which holds over more general fields of arithmetic interest. Time perm itting\, I will also discuss how these structural results can be combined with local Tate duality to give a criterion for which linear algebraic gro ups over local function fields have finite cohomology.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:533@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251109T163000 DTEND;TZID=Asia/Jerusalem:20251109T173000 DTSTAMP:20251102T123308Z URL:https://math.technion.ac.il/en/events/topological-barrier-to-reduction -of-pac-learning-to-convex-optimization/ SUMMARY:Topological barrier to reduction of PAC learning to convex optimiza tion DESCRIPTION:Lecturer:Bogdan Chornomaz (Technion)\n Location:Amado 814\n Abs tract:\n\nThe central problem of the PAC learning theory is binary classif ication in a distribution-independent setting. While in the original formu lation the problem is not concerned with the algorithmic implementation\, concrete algorithms are\, of course\, important for practical purposes\, a nd one of the most known classes of algorithms is stochastic convex optimi zation (SCO). \n\nWhile the sample complexity in PAC learning is regulate d by the Vapnik-Chervonenkis (VC) dimension\, we will show that in any SCO task\, used to solve it\, one might be forced to use the ambient Euclidea n space whose dimension is at least exponential in VC\, which is at odds w ith the naive interpretation of VC as the "number of parameters". The proo f is topological and relies on a generalization of the Borsuk-Ulam theorem in the spirit of the Kakutani fixed point theorem. \n\nThe talk is based on joint work with Shay Moran and Tom Waknine.\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:534@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251111T113000 DTEND;TZID=Asia/Jerusalem:20251111T123000 DTSTAMP:20251102T212652Z URL:https://math.technion.ac.il/en/events/irregularities-in-uniform-distri bution/ SUMMARY:Irregularities in Uniform Distribution DESCRIPTION:Lecturer:Omri Sarig (Weizmann)\n Location:Meyer building (room 861)\n Suppose a is an irrational number. Weyl proved that na mod 1 is uni formly distributed on the unit interval. i.e.\, the frequency of visits of na mod 1 to a subinterval of [0\,1] tends to the length of the subinterva l. It has long been known that the error term in this limit theorem can ex hibit strong bias\, reflecting an “irregularity” in uniform distributi on in the higher-order term. This bias depends on the fine number theoreti c properties of a. For example\, the square roots of two and three do not behave the same way (!) I will describe some recent joint work with Dmitry Dolgopyat on the equidistribution of the error term. There are amusing co nnections to the geometry of translation surfaces with infinite genus\, an d to local limit theorems of inhomogeneous Markov chains.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (room 861) END:VEVENT BEGIN:VEVENT UID:501@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251111T113000 DTEND;TZID=Asia/Jerusalem:20251111T123000 DTSTAMP:20251012T140726Z URL:https://math.technion.ac.il/en/events/the-hao-ng-isomorphism-theorem-f or-reduced-crossed-products-dor-on/ SUMMARY:The Hao-Ng isomorphism theorem for reduced crossed products DESCRIPTION:Lecturer:Adam Dor-On (Haifa University)\n Location:Amado 814 an d Zoom\n \n\nBeyond its conceptual impact on noncommutative Choquet theory \, the counterexample to Arveson's hyperrigidity we discovered with Bilich informs us on how to prove functoriality properties for the C*-envelope i n non-commutative dynamical contexts\, which then leads to insight on stru ctural and classification problems through the use of the C*-envelope. Fo r instance\, for the seemingly unrelated\, long-standing Hao-Ng isomorphis m problem\, which asks whether the Cuntz-Pimsner C*-algebra construction c ommutes with taking the full or reduced crossed product by a locally compa ct Hausdorff group action\, beyond the amenable case of Hao and Ng.\n\nBui lding on ideas that emerge from the discovery of the counterexample to Arv eson's hyperrigidity conjecture with Bilich\, together with ideas arising from a recent amendment to Arveson's hyperrigidity conjecture by Clouatre and Thompson\, we resolve the reduced version of the Hao-Ng isomorphism pr oblem in full generality. More precisely\, for a non-degenerate C*-corresp ondence $X$ and a generalized gauge action $G \\curvearrowright X$ by a lo cally compact Hausdorff group $G$\, we prove the commutation ${\\mathcal{O }}_{X\\rtimes_rG}\\cong {\\mathcal{O}}_X\\rtimes_rG$ of the reduced crosse d product with the Cuntz-Pimsner C*-algebra construction.\n\n\n\n*Based on joint work with Ian Thompson.\n CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 and Zoom END:VEVENT BEGIN:VEVENT UID:529@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251112T130000 DTEND;TZID=Asia/Jerusalem:20251112T140000 DTSTAMP:20251111T111645Z URL:https://math.technion.ac.il/en/events/understanding-signal-propagation -in-gnns-via-observables/ SUMMARY:Understanding Signal Propagation in GNNs Via Observables DESCRIPTION:Lecturer:Eden Nagar \n Location:Amad0 619 \n Graph neural netwo rks often diffuse information rather than routing it to specific targets\, leading to oversmoothing and oversquashing. This seminar introduces an ob servable based framework inspired by quantum mechanics to directly measure and control signal routing in graphs. We define a signal routing measure via feature location observables\, prove why standard spectral GNNs with r eal valued signals cannot move signal centers\, and propose the Schröding er GNN: a unitary\, complex-modulated architecture that induces directiona l momentum while preserving energy and norms.\nAdvisor: Dr. Ron Levie\n \ n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amad0 619 END:VEVENT BEGIN:VEVENT UID:508@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251112T143000 DTEND;TZID=Asia/Jerusalem:20251112T152000 DTSTAMP:20251103T145114Z URL:https://math.technion.ac.il/en/events/tsviqa-lakrec/ SUMMARY:Tsviqa Lakrec (University of Geneva) -- Tilings and Cluster Algebra s for the Amplituhedron DESCRIPTION:Lecturer:Tsviqa Lakrec\n Location:814 Amado\n Recent years have seen the discovery of many intriguing connections between algebraic combi natorics and theoretical particle physics\, specifically in scattering amp litudes. One such connection is the amplituhedron (Arkani-Hamed--Trnka 20 13) a generalization of the nonnegative Grassmannian which admits a relate d combinatorial and geometric structure. Its "volume'' expresses scatterin g amplitudes in certain quantum field theories. Another such connection is the appearance of combinatorial cluster-algebraic structures in scatterin g amplitudes (starting with Golden-Goncharov-Spradlin-Vergu-Volovich 2013) . In this talk I will introduce these topics and discuss how they are illu minated by the recursion relations for scattering amplitudes introduced by Britto\, Cachazo\, Feng and Witten (BCFW 2005).\n\n\n\n\n\nBased on joint works with Even-Zohar\, Parisi\, Sherman-Bennett\, Tessler and Williams.\ n\n\n\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:521@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251117T113000 DTEND;TZID=Asia/Jerusalem:20251117T123000 DTSTAMP:20251104T104331Z URL:https://math.technion.ac.il/en/events/quantitative-equidistribution-of -random-walks/ SUMMARY:Quantitative equidistribution of random walks by automorphisms on n ilmanifolds DESCRIPTION:Lecturer:Tsviqa Lakrec (University of Geneva)\n Location:Amado 814\n Consider the random walk on a nilmanifold X induced by random automo rphisms on some fixed starting point x0. By a theorem of Bourgain-Furman-L indenstrauss-Mozes\, for X a torus and x0 irrational\, the random walk app roaches a uniform distribution at an exponential rate.\nBenoist-Quint part ially extends this to a nilmanifold\, without giving any rate. Bekka-Guiva rc'h shows a spectral gap exists in this setting. I will report on an upco ming work with Weikun He and Elon Lindenstrauss that generalizes these res ults and our previous result on Heisenberg nilmanifolds\, giving an effect ive rate of equidistribution from random walks by automorphisms on 2-step nilmanifolds.\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:540@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251118T113000 DTEND;TZID=Asia/Jerusalem:20251118T123000 DTSTAMP:20251114T080938Z URL:https://math.technion.ac.il/en/events/self-interacting-walks-in-high-d imensions/ SUMMARY:Self-interacting walks in high dimensions DESCRIPTION:Lecturer:Dor Elboim (Stanford)\n Location:Meyer building (room 861)\n A self-interacting random walk is a random process evolving in an e nvironment which depends on its history. In this talk\, we will discuss a few examples of these walks including the Lorentz gas\, the mirror walk\, the once-reinforced walk and the cyclic walk in the interchange process. I will present methods to analyze these walks in high dimensions and prove that they behave diffusively. The talk is based on joint works with Allan Sly\, Felipe Hernandez\, Antoine Gloria\, Gady Kozma and Lenya Ryzhik.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (room 861) END:VEVENT BEGIN:VEVENT UID:537@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251118T113000 DTEND;TZID=Asia/Jerusalem:20251118T123000 DTSTAMP:20251116T142027Z URL:https://math.technion.ac.il/en/events/a-c-cover-lattice-dichotomy/ SUMMARY:A C*-Cover Lattice Dichotomy DESCRIPTION:Lecturer:Marcel Scherer (Technion)\n Location:Amado 814 and zoo m \n C*-covers of operator algebras\, first studied by Arveson about 50 ye ars ago\, remain a vibrant area of research. Recently\, Adam Humeniuk and Christopher Ramsey studied the lattice of C*-covers of operator algebras\, focusing on its structure and on whether this lattice uniquely determines an operator algebra up to completely isometric isomorphisms. In my talk\, I will give an introduction to operator algebras and their C*-covers\, an d answer the question of whether there exists nontrivial operator algebras with a one point lattice. Additionally\, I will characterize the possible cardinalities of the lattice of C*-covers.\n\nThis is a joint work with A dam Humeniuk and Christopher Ramsey.\n https://technion.zoom.us/j/96498034 171 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 and zoom END:VEVENT BEGIN:VEVENT UID:550@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251119T090000 DTEND;TZID=Asia/Jerusalem:20251119T100000 DTSTAMP:20251118T104042Z URL:https://math.technion.ac.il/en/events/new-test/ SUMMARY:New test DESCRIPTION:Lecturer:\n Location:\n \n CATEGORIES:Representation Theory Learning Seminar END:VEVENT BEGIN:VEVENT UID:552@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251119T133000 DTEND;TZID=Asia/Jerusalem:20251119T143000 DTSTAMP:20251118T132949Z URL:https://math.technion.ac.il/en/events/growth-of-groups-2/ SUMMARY:Growth of groups DESCRIPTION:Lecturer:Gal Yehuda (Yale)\n Location:8th floor lounge \n We ta lk about growth rates of groups:\nlet G be a finitely generated group\, an d let f(n) be the number of “length n” elements in G. What properties can we infer about G from f? We discuss this problem from combinatorial\, geometric\nand algebraic perspectives.\n LOCATION:8th floor lounge END:VEVENT BEGIN:VEVENT UID:539@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251119T133000 DTEND;TZID=Asia/Jerusalem:20251119T143000 DTSTAMP:20251112T100829Z URL:https://math.technion.ac.il/en/events/growth-of-groups/ SUMMARY:Growth of groups DESCRIPTION:Lecturer:Gal Yehuda (Yale)\n Location:\n \nWe talk about growth rates of groups: let G be a finitely generated group\, and let f(n) be th e number of “length n” elements in G. What properties can we infer abo ut G from f? We discuss this problem from combinatorial\, geometric and al gebraic perspectives.\n\n\n CATEGORIES:Math Club,Seminars END:VEVENT BEGIN:VEVENT UID:510@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251119T143000 DTEND;TZID=Asia/Jerusalem:20251119T152000 DTSTAMP:20251118T194850Z URL:https://math.technion.ac.il/en/events/amichai-lampert/ SUMMARY:Amichai Lampert (University of Michigan) -- Equations in many varia bles DESCRIPTION:Lecturer:Amichai Lampert \n Location:814 Amado\n Consider a sys tem of homogeneous polynomial equations over some field K. When are we gua ranteed a (nontrivial) solution in K? Brauer famously proved that for many fields of interest (e.g. Q[i])\, it is enough that the number of variable s be sufficiently large. Birch proved that for the rational numbers (or an y number field) this also holds\, as long as the polynomials have odd degr ee. We will survey the history of this problem and present recent work imp roving its quantitative and qualitative aspects. A key tool we use comes f rom additive combinatorics. Partly based on joint work with Andrew Snowden and Tamar Ziegler.\n\n \;\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:527@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251124T153000 DTEND;TZID=Asia/Jerusalem:20251127T163000 DTSTAMP:20251028T134237Z URL:https://math.technion.ac.il/en/events/analytic-combinatorics-in-severa l-variables/ SUMMARY:Analytic Combinatorics in Several Variables DESCRIPTION:Lecturer:Professor Yuliy Baryshnikov\n Location:Amado 232\n For more information\, go to the CMS Webpage: Analytic Combinatorics in Sever al Variables\n CATEGORIES:CMS Activities,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:557@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251125T113000 DTEND;TZID=Asia/Jerusalem:20251125T123000 DTSTAMP:20251124T071929Z URL:https://math.technion.ac.il/en/events/brownian-motion-subject-to-addit ive-penalizations/ SUMMARY:Brownian Motion Subject to Additive Penalizations DESCRIPTION:Lecturer:Dominic T. Schickentanz (Technion)\n Location:Meyer bu ilding (room 861)\n Conditioning stochastic processes on rare events is a classic problem\, going back at least to Doob's work in the 1950s. In this talk\, we condition a one-dimensional Brownian motion $(B_t)_{t \\ge 0}$ on $\\int_0^T u(B_t\,t) dt$ being unusually small\, as $T \\to \\infty$\, for multiple (classes of) penalization functions $u:\\mathbb{R}\\times[0\, \\infty) \\to [0\,\\infty)$. We establish the existence of conditioned pro cesses\, provide precise descriptions of these processes and discuss some of their properties. We also consider the asymptotic behavior of the under lying conditioning probabilities\, as $T \\to \\infty$. The talk is based on joint works with Frank Aurzada\, Martin Kolb\, Mikhail Lifshits and Bas tien Mallein.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (room 861) END:VEVENT BEGIN:VEVENT UID:543@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251125T113000 DTEND;TZID=Asia/Jerusalem:20251125T123000 DTSTAMP:20251117T090138Z URL:https://math.technion.ac.il/en/events/tba-31/ SUMMARY:Non-self-adjoint dynamics and the full Hao-Ng isomorphism DESCRIPTION:Lecturer:Ian Thompson (University of Copenhagen)\n Location:Ama do 814 and zoom\n A decade ago\, Katsoulis and Ramsey began a program for studying non-self-adjoint dynamical systems and their enveloping C*-algebr as. Within their program\, the central problem was to determine the C*-env elope of the non-self-adjoint reduced and full crossed product operator al gebras. This is of paramount importance for various classification stateme nts as\, for one\, this would provide answers to the 17 year-old reduced a nd full Hao-Ng isomorphism problems. In past work with Adam Dor-On\, we ga ve a complete positive answer to the reduced case. In forthcoming work\, w e provide a corresponding answer to the much more mysterious setting of fu ll crossed products\, with a complete answer to the full Hao-Ng isomorphis m problem.\n https://technion.zoom.us/j/96498034171 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 and zoom END:VEVENT BEGIN:VEVENT UID:555@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251125T133000 DTEND;TZID=Asia/Jerusalem:20251125T143000 DTSTAMP:20251119T114538Z URL:https://math.technion.ac.il/en/events/mathematical-models-for-dense-fi eld-estimation-from-sparse-sensing/ SUMMARY:Mathematical models for dense field estimation from sparse sensing DESCRIPTION:Lecturer:Alon Feldman\n Location:Amado 814\n \nEnvironmental se nsing and modeling occupy a critical intersection of applied mathematics\, data science\, and sustainability. Capturing the spatial and temporal dyn amics of processes such as air pollution\, soil contamination\, and water quality requires transforming sparse and noisy measurements into continuou s\, interpretable fields. Despite notable advances in sensing technologies \, environmental monitoring remains fundamentally limited by sensor covera ge\, economic constraints\, and the nonlinear\, heterogeneous nature of th ese systems.\n\n\n\n\n\n\n\nThis thesis introduces mathematical frameworks for data-driven environmental inference\, addressing the challenge of rec onstructing continuous environmental fields from incomplete observations. It comprises three integrated studies that span the sensing–inference co ntinuum. The first study presents a novel vision-based approach to air qua lity estimation\, demonstrating that physical quantities such as $CO_2$ an d $PM_{2.5}$ can be indirectly inferred from visual cues in roadside image ry using deep convolutional neural networks. The second study develops the Ridiculously Simple Interpolation Method (RSIM)\, a mathematically princi pled yet computationally efficient technique that combines machine learnin g with physics-based digital twin simulations to reconstruct dense polluti on maps from sparse sensor data. The third study generalizes the RSIM fram ework to soil and groundwater contamination\, showing that the same formul ation effectively captures spatial dependencies in subsurface transport de spite discontinuities and heterogeneity in porous media.\n\n\n\n\n\n\n\nTo gether\, these contributions illustrate how mathematical reasoning and dat a-driven modeling can jointly overcome sensing limitations\, offering a sc alable path toward high-resolution\, cross-domain environmental monitoring .\n\n\n\n\n\n\n\n\n\n \;\n\n\n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:553@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251126T123000 DTEND;TZID=Asia/Jerusalem:20251126T133000 DTSTAMP:20251119T050824Z URL:https://math.technion.ac.il/en/events/%d7%aa%d7%95%d7%a4%d7%a2%d7%95%d 7%aa-%d7%91%d7%9e%d7%9e%d7%93-%d7%92%d7%91%d7%95%d7%94/ SUMMARY:תופעות בממד גבוה DESCRIPTION:Lecturer:גלינה ליבשיץ\n Location:אמאדו 232\n ב הרצאה נעסוק במושג הממד ובאופן שבו ניתן ל הבין ולדמיין ממדים גבוהים. נדון בשאלות כ גון: כיצד מופיע רעיון הממד בספרות ובתרבו ת? כיצד האינטואיציה התלת־ממדית שלנו מסיי עת לנו בגאומטריה רב־ממדית — וכיצד היא על ולה להטעות? אילו תופעות ייחודיות מתגלות בממדים גבוהים\, ומדוע סדר מפתיע עולה מתוך אקראיות רבה? נבחן גם את תפקידם של מושגים גאומטריים\, ובעיקר קמירות\, בהבנת התופעות הללו. האם כדור וקובייה רב־ממדיים באמת “ דומים”? בהרצאה ננסה להתמודד עם כל השאלות האלה.\n CATEGORIES:Math Club,Seminars LOCATION:אמאדו 232 END:VEVENT BEGIN:VEVENT UID:511@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251126T143000 DTEND;TZID=Asia/Jerusalem:20251126T152000 DTSTAMP:20251103T125440Z URL:https://math.technion.ac.il/en/events/evgeny-feigin-2/ SUMMARY:Evgeny Feigin (Tel Aviv) -- Poset polytopes and applications in alg ebra and geometry DESCRIPTION:Lecturer:Evgeny Feigin \n Location:814 Amado\n The Stanley chai n polytope of a finite poset P is defined by the set of inequalities label ed by the maximal chains in P. These polytopes have many nice properties a nd show up in various applications. We will introduce a new class of polyt opes\, generalizing the case of chain polytopes. The defining inequalities in our case are labeled by all subposets of P. We will discuss the Minkow ski sum property of the generalized chain polytopes and explain the import ance of this property for applications in the theory of Grassmann varietie s. If time permits\, we will also discuss the case of generalized marked c hain polytopes. Partially based on a joint work with Wojciech Samotij.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:554@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251130T143000 DTEND;TZID=Asia/Jerusalem:20251130T153000 DTSTAMP:20251119T070435Z URL:https://math.technion.ac.il/en/events/dimension-of-stationary-fractal- measures-on-the-real-line/ SUMMARY:Dimension of stationary fractal measures on the real line DESCRIPTION:Lecturer:Ariel Rapaport (Technion)\n Location:Room 814\, Amado Mathematics Building\n Abstract: I will discuss some past and recent resul ts concerning the dimension theory of stationary fractal measures on the r eal line.\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Room 814\, Amado Mathematics Building END:VEVENT BEGIN:VEVENT UID:571@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251130T143000 DTEND;TZID=Asia/Jerusalem:20251130T160000 DTSTAMP:20251128T194142Z URL:https://math.technion.ac.il/en/events/kirillovs-orbit-method-for-compa ct-p-adic-groups/ SUMMARY:Kirillov's Orbit Method for compact p-adic groups DESCRIPTION:Lecturer:Itay Glazer\n Location:Amado 509\n We will discuss the representation theory of compact p-adic groups (like SL_n(Zp))\, using Ki rillov's Orbit Method\, following Roger Howe's paper.\n\nThis is the first lecture in a series of two lectures on the topic.\n CATEGORIES:Representation Theory Learning Seminar,Seminars LOCATION:Amado 509 END:VEVENT BEGIN:VEVENT UID:558@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251201T113000 DTEND;TZID=Asia/Jerusalem:20251201T123000 DTSTAMP:20251124T102135Z URL:https://math.technion.ac.il/en/events/thermodynamic-formalism-and-boun ded-cohomology/ SUMMARY:Thermodynamic formalism and bounded cohomology DESCRIPTION:Lecturer:Federico Rodriguez-Hertz (Penn State)\n Location:Amado 814\n In this talk I will discuss some relation between thermodynamics fo rmalism and bounded cohomology. The goal is to show how quasi-morphisms on some groups relate to quasi-cocycles of certain dynamical systems. Then o ne can analyze the former using the latter. The latter can be related to f unctions with the Bowen property and in some cases shown to be trivial\, g iving another proof of a result of Burger and Monod. This is joint work wi th Pablo Carrasco.\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:544@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251202T113000 DTEND;TZID=Asia/Jerusalem:20251202T123000 DTSTAMP:20251126T095752Z URL:https://math.technion.ac.il/en/events/tba-37/ SUMMARY:On L^p approximations of groups (Bachner) DESCRIPTION:Lecturer:Benjamin Bachner (Weizmann Institute)\n Location:Amado 814 and zoom\n Some major open problems in group theory can be described within the framework of approximation of groups\; for instance\, whether a ll groups are sofic\, hyperlinear or MF. We will present the general frame work for metric approximation of groups\, and particularly with respect to the L^p norm\, p \\in [1\, \\infty]. Previous results prove that certain Deligne central extension of lattices in higher rank groups are not L^p ap proximated for p \\in (1\, \\infty)\, and we extend this result to the cas e p=1.\n\n\nBased on joint work with Alon Dogon and Alex Lubotzky.\n https ://technion.zoom.us/j/96498034171 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 and zoom END:VEVENT BEGIN:VEVENT UID:573@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251202T113000 DTEND;TZID=Asia/Jerusalem:20251202T123000 DTSTAMP:20251201T091058Z URL:https://math.technion.ac.il/en/events/mean-field-theory-of-the-h02l-mo del-on-the-complete-graph-2/ SUMMARY:Mean field theory of the H^(0|2l) model on the complete graph DESCRIPTION:Lecturer:Evyatar Sharoni (Technion)\n Location:Meyer building ( room 861)\n In this talk\, we present a method for calculating the partiti on function of the H^{0|2l} sigma model on the complete graph K_N in the l imit N \\to \\infty. We begin with a brief introduction to spin models on the complete graph\, followed by a discussion about the l=1 case and its c ombinatorial analogue. We then introduce explain how the partition functio n can be represented in the formalism of Berezin integrals. We will then i nvestigate the stable roots of the free energy and conclude that the H^{0| 2l}-model undergoes a single phase transition. After that\, we will descri be the techniques used to study the model in different temperature regimes : supercritical\, subcritical\, and at the critical temperature\, with a f ocus on super-critical regime.\n\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (room 861) END:VEVENT BEGIN:VEVENT UID:538@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251202T113000 DTEND;TZID=Asia/Jerusalem:20251202T123000 DTSTAMP:20251109T101315Z URL:https://math.technion.ac.il/en/events/mean-field-theory-of-the-h02l-mo del-on-the-complete-graph/ SUMMARY:Mean field theory of the H^(0|2l) model on the complete graph DESCRIPTION:Lecturer:Evyatar Sharoni \n Location:Mayer 861\n In this talk\, we present a method for calculating the partition function of the H^{0|2l } sigma model on the complete graph K_N in the limit N \\to \\infty. We be gin with a brief introduction to spin models on the complete graph\, follo wed by low-dimensional examples of the model for l = 1\, 2. We then introd uce the Berezin integral and explain how the partition function can be rep resented in this formalism. After that\, we will describe the techniques u sed to study the model in different temperature regimes: supercritical\, s ubcritical\, and at the critical temperature. Finally\, we will show that this model undergoes a continuous (second-order) phase transition and disc uss potential directions for future research.\n\nAdvisor: Nicholas Crawfor d\n\n \;\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Mayer 861 END:VEVENT BEGIN:VEVENT UID:568@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251202T133000 DTEND;TZID=Asia/Jerusalem:20251202T143000 DTSTAMP:20251126T151818Z URL:https://math.technion.ac.il/en/events/an-optimal-fractional-hardy-ineq uality-on-the-discrete-half-line/ SUMMARY:An optimal fractional Hardy inequality on the discrete half-line DESCRIPTION:Lecturer:Ujjal Das\n Location:Amado 814\n \n LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:512@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251203T143000 DTEND;TZID=Asia/Jerusalem:20251203T152000 DTSTAMP:20251103T125558Z URL:https://math.technion.ac.il/en/events/alan-lew/ SUMMARY:Alan Lew (Technion) -- Sums of Laplacian eigenvalues and sums of de grees DESCRIPTION:Lecturer:Alan Lew\n Location:814 Amado\n The Laplacian matrix o f a graph\, introduced by Kirchhoff in 1847\, has since become one of the central objects of study in spectral graph theory. The Laplacian eigenvalu es of a graph are closely related to various graph properties\, such as th e number of spanning trees\, connectivity and expansion parameters\, the m atching number\, and even the topology of the clique complex of the graph. In this talk\, I will focus on the relation between the Laplacian spectru m and the degree sequence of a graph. In particular\, I will discuss a rec ent result stating that the sum of the k largest Laplacian eigenvalues of a graph is bounded from above by the sum of its 2k largest degrees. This b ound is tight\, and it extends a classical result of Anderson and Morley\, corresponding to the case k=1. As an application\, I will show how this r esult leads to new progress towards a conjecture of Brouwer relating the s um of the k largest Laplacian eigenvalues to the number of edges in the gr aph.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:565@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251204T123000 DTEND;TZID=Asia/Jerusalem:20251204T133000 DTSTAMP:20251126T111336Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-when-m atrix-multiplication-and-digit-concatenation-coincide/ SUMMARY:Cable Car Algebra Seminar: When Matrix Multiplication and Digit Con catenation Coincide DESCRIPTION:Lecturer:Gal Benkler (Tel Aviv)\n Location:Technion\, Amado Bui lding\, Room 814\n When does the product of two integer matrices equal the ir digit concatenation? This deceptively simple question reveals deep conn ections in analytic number theory\, unveiling equivalent problems that lea d us to Diophantine equations\, coprime counting in bounded ranges\, and t he Riemann zeta function.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:566@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251204T133000 DTEND;TZID=Asia/Jerusalem:20251204T143000 DTSTAMP:20251126T111717Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-irredu cibility-of-the-characteristic-polynomial-of-random-tridiagonal-matrices/ SUMMARY:Cable Car Algebra Seminar: Irreducibility of the Characteristic Pol ynomial of Random Tridiagonal Matrices DESCRIPTION:Lecturer:Lior Bary-Soroker (Tel Aviv)\n Location:Technion\, Ama do Building\, Room 814\n We examine the arithmetic properties of eigenvalu es of random matrices with integer entries\, focusing on the irreducibilit y of their characteristic polynomials and their Galois groups. Rivin\, Jou ve-Kowalski-Zywina\, and Lubotzky-Rosenzweig previously studied characteri stic polynomials arising from random walks on the Cayley graphs of Zariski -dense finitely generated subgroups of linear groups\, such as SL_n(Z) . E berhard\, resolving conjectures of Babai and Vu-Wood assuming ERH\, analyz ed discrete random matrices and established that the characteristic polyno mial of a matrix with independent entries (say taking the values 0\,1 with equal probabilities) is irreducible and has a large Galois group with hig h probability as the matrix dimension grows. Ferber\, Jain\, Sah\, and Saw hney proved a counterpart of these results to symmetric matrices.\n\nIn th is talk\, I will present recent results joint with Daniele Garzoni and Sas ha Sodin on random tridiagonal matrices where the main diagonal consists o f independent Bernoulli entries\, the superdiagonal and subdiagonal entrie s are identically one\, and all other entries are zero. We show that the c haracteristic polynomial of such matrices is irreducible and analyze the s tructure of its Galois group. If time permits\, we will discuss applicatio ns to the localization of the eigenstates in Anderson's 1-dim localization model.\n\nA key feature of our approach lies in combining techniques from both the above random walk framework and the above discrete matrix settin g. The latter leverages the Extended Riemann Hypothesis (ERH) to reduce th e problem to analyzing the distribution of eigenvalues modulo primes p. To achieve strong error bounds in these computations\, we exploit the powerf ul mixing properties of simple groups such as PSL_2(p) \, a central tool i n the above-mentioned random walk results.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:569@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251207T113000 DTEND;TZID=Asia/Jerusalem:20251207T123000 DTSTAMP:20251127T111547Z URL:https://math.technion.ac.il/en/events/the-domain-of-rsd-characterizati on-by-efficiency-symmetry-and-strategy-proofness/ SUMMARY:The Domain of RSD Characterization by Efficiency\, Symmetry\, and S trategy-Proofness DESCRIPTION:Lecturer:Maor Ben-Zaquen\n Location:Bloomfield 424\n Given a se t of n individuals with strict preferences over m indivisible objects\, th e Random Serial Dictatorship (RSD) mechanism is a method for allocating ob jects to individuals in a way that is efficient\, fair\, and incentive-com patible. A random order of individuals is first drawn\, and each individua l\, following this order\, selects their most preferred available object. The procedure continues until either all objects have been assigned or all individuals have received an object.\n\nRSD is widely recognized for its application in fair allocation problems involving indivisible goods\, such as school placements and housing assignments. Despite its extensive use\, a comprehensive axiomatic characterization has remained incomplete. For t he balanced case n=m=3\, Bogomolnaia and Moulin have shown that RSD is uni quely characterized by Ex-Post Efficiency\, Equal Treatment of Equals\, an d Strategy-Proofness. The possibility of extending this characterization t o larger markets had been a long-standing open question\, which Basteck an d Ehlers recently answered in the negative for all markets with n\,m>\;= 5.\n\nThis work completes the picture by identifying exactly for which pai rs (n\,m) these three axioms uniquely characterize the RSD mechanism and f or which pairs they admit multiple mechanisms. In the latter cases\, we co nstruct explicit alternatives satisfying the axioms and examine whether au gmenting the set of axioms could rule out these alternatives.\n\nAdvisor: Prof. Ron Holzman\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Bloomfield 424 END:VEVENT BEGIN:VEVENT UID:562@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251207T143000 DTEND;TZID=Asia/Jerusalem:20251207T153000 DTSTAMP:20251126T063200Z URL:https://math.technion.ac.il/en/events/problems-without-guaranteed-comm on-fixed-points-dynamic-string-averaging-with-superiorization-and-generic- almost-common-solutions/ SUMMARY:Problems Without Guaranteed Common Fixed Points: Dynamic String Ave raging with Superiorization and Generic Almost Common Solutions DESCRIPTION:Lecturer:Kay Barshad (University of Haifa)\n Location:Room 814\ , Amado Mathematics Building\n Many feasibility and fixed-point problems i n modern applications involve\nfamilies of nonexpansive operators that do not necessarily possess a\ncommon fixed point. This talk presents two comp lementary approaches\nto such “inconsistent” settings.\nIn the first p art\, I introduce a general dynamic string-averaging scheme\nin which the string structure\, weights and control may vary across iterations.\nThe me thod is perturbation-resilient\, making it compatible with\nthe superioriz ation methodology and it converges to a meaningful target\neven when the u nderlying operators share no fixed point. This yields a\nflexible and comp utationally efficient framework for tackling inconsistent\nfeasibility pro blems.\nIn the second part\, I adopt a generic approach. For broad familie s of\noperators modeled on an underlying probability space\, the set of ex act common fixed points may be empty\; nevertheless\, under suitable condi tions one can still establish the existence of generic almost common fixed points in the sense of Baire category—points fixed by all operators in a certain residual (comeager) subset\, except possibly for a probabilityme asure-zero subset. I will discuss generic existence results for such almos t common fixed points\; the abundance of solutions to these almost common fixed point problems is known to play a crucial role in many optimization algorithms.\nTogether\, these two directions offer a unified perspective o n problems without guaranteed common fixed points\, combining algorithmic convergence\, perturbation resilience and superiorization with existence i nsights arising from genericity theory.\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Room 814\, Amado Mathematics Building END:VEVENT BEGIN:VEVENT UID:575@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251207T143000 DTEND;TZID=Asia/Jerusalem:20251207T160000 DTSTAMP:20251202T204022Z URL:https://math.technion.ac.il/en/events/kirillovs-orbit-method-for-compa ct-p-adic-groups-part-2/ SUMMARY:Kirillov’s Orbit Method for compact p-adic groups- Part 2 DESCRIPTION:Lecturer:Itay Glazer\n Location:Amado 509\n We will discuss the representation theory of compact p-adic groups (like SL_n(Zp))\, using Ki rillov's Orbit Method\, following Roger Howe's paper. This is the second l ecture on the topic.\n CATEGORIES:Representation Theory Learning Seminar,Seminars LOCATION:Amado 509 END:VEVENT BEGIN:VEVENT UID:574@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251207T153000 DTEND;TZID=Asia/Jerusalem:20251207T163000 DTSTAMP:20251202T091528Z URL:https://math.technion.ac.il/en/events/multi-scale-analysis-of-sets-and -measures/ SUMMARY:Multi-scale analysis of sets and measures DESCRIPTION:Lecturer:Benjamin Jaye (Georgia Tech)\n Location:Room 814\, Ama do Mathematics Building\n In this talk I will discuss a circle of ideas in harmonic analysis and geometric measure theory that relate the geometry o f sets and measures to analytic information measured at many scales. I wil l explain how tools such as square functions can be used to detect geometr ic regularity and rectifiability\, and how geometric structure can\, in tu rn\, control the behavior of these operators. The results I will present a re based on joint work with John Hoffman\, Tomás Merchán\, Fedor Nazarov \, Xavier Tolsa\, and Michele Villa.\n\n \;\n\nPlease note the unusual time. \n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Room 814\, Amado Mathematics Building END:VEVENT BEGIN:VEVENT UID:559@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251208T113000 DTEND;TZID=Asia/Jerusalem:20251208T123000 DTSTAMP:20251124T101912Z URL:https://math.technion.ac.il/en/events/unique-ergodicity-of-branched-co vers-of-translation-surfaces/ SUMMARY:Unique ergodicity of branched covers of translation surfaces DESCRIPTION:Lecturer:Polina Baron (University of Chicago)\n Location:Amado 814\n We will start by introducing translation surfaces -- flat surfaces w ith cone singularities and straight-line flow. These are among the simples t examples of dynamical systems\, yet they model a variety of physical pro cesses\, such as Ehrenfest wind-tree models\, polygonal billiards\, optica l cavities\, and Eaton lenses. Most translation surfaces are chaotic\, or\ , more specifically\, uniquely ergodic in almost every direction: for almo st every initial point\, the straight trajectory equidistributes for area\ , and time averages equal space averages (this idea comes from Boltzmann ’s ergodic hypothesis in thermodynamics).\n\n\nAfter a primer where I wi ll define everything we need\, I will present a new construction on transl ation surfaces called branched slit-induced n-cover: on a uniquely ergodic X\, pick a slit s = [P\, Q]\; take n copies and switch sheets i → i + 1 (mod n) each time the vertical flow hits s (i.e.\, glue the copies togeth er). It turns out that the unique ergodicity property is robust for such c overs under fairly weak constraints. Moreover\, the conditions are mostly geometric despite the measure-theoretic core of the problem. This is espec ially notable because the setup is starkly different from the standard one in this area\, where the varied parameter is not the new surface construc tion but the direction of the flow. (Joint with Elizaveta Shuvaeva).\n\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:524@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251208T153000 DTEND;TZID=Asia/Jerusalem:20251208T163000 DTSTAMP:20251201T122626Z URL:https://math.technion.ac.il/en/events/tba-28/ SUMMARY:Taming classes of infinite linear orders DESCRIPTION:Lecturer:Assaf Rinot (BIU)\n Location:Amado 232\n For every inf inite cardinal k\, the class of linear orders of size k has 2^k many disti nct types\, but this does not mean that this class is totally chaotic.\n\n For instance\, it is conceivable that this class admits a small basis (col lection of minimal elements) or a small universal family (collection of ma ximal elements).\n\nIndeed\, as a prototype example\, the class of countab le linear orders has a 2-element basis and a 1-element universal family.\n \nIn this talk\, we shall discuss some of the set theory generated by the attempts to tame classes of infinite linear orders\, starting with the wor ks of Cantor\, Sierpinski\, Souslin and Specker\, and going through modern works.\n\nOur contribution settles a higher analog of a conjecture of She lah proposed by Justin Moore.\n\nThis is joint work with Tanmay Inamdar.\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:577@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251209T113000 DTEND;TZID=Asia/Jerusalem:20251209T123000 DTSTAMP:20251204T081656Z URL:https://math.technion.ac.il/en/events/on-the-convex-gaussian-minimax-t heorem-and-minimum-norm-interpolation/ SUMMARY:On the Convex Gaussian Minimax Theorem and Minimum-Norm Interpolati on  DESCRIPTION:Lecturer:Gil Kur (ETH)\n Location:Meyer building (room 861)\n W e revisit sharp risk bounds for the minimum-l1-norm interpolant(basis purs uit) in high-dimensional linear regression. These bounds were first obtain ed by Wang\, Donhauser and Yang (2022) via the Convex Gaus-\\sian Minimax Theorem (CGMT)\, in an analysis motivated by the widely used Gaussian-widt h and uniform-convergence framework of Koehler et al.(2021)\; in particula r\, their results disprove a conjecture of Chinot\, Löffler and van de G eer (2021). In contrast\, our proof\, inspired by the work of Fluery (2010 )\, does not rely on Gaussian comparison inequalities or CGMT. Instead\, i t uses tools from high-dimensional geometry\, supercon-centration\, and th e geometry of Gaussian polytopes. Finally\, we argue that CGMT may not alw ays be the most appropriate tool for studying the mean-squared error of mi nimum-norm interpolants.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (room 861) END:VEVENT BEGIN:VEVENT UID:572@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251209T133000 DTEND;TZID=Asia/Jerusalem:20251209T143000 DTSTAMP:20251130T122655Z URL:https://math.technion.ac.il/en/events/singular-structures-in-nematic-l iquid-crystals/ SUMMARY:Singular structures in nematic liquid crystals DESCRIPTION:Lecturer:Dmitry Golovaty (University of Akron)\n Location:Amado 814\n I will focus on recent results on behavior of minimizers of some co mmon models for liquid crystals stemming from the seminal work of Brezis\, Bethuel and Helein on the Ginzburg-Landau theory. In particular\, I will describe a recent result for Ginzburg-Landau theory posed on a singular su rface (a cone) to explore the role of a singularity on a surface in determ ining vortex location. I will also discuss a model for nematic/isotropic p hase transitions in which there emerge both line defects and singular phas e boundaries.\n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:513@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251210T143000 DTEND;TZID=Asia/Jerusalem:20251210T152000 DTSTAMP:20251109T170122Z URL:https://math.technion.ac.il/en/events/shakhar-smorodinsky/ SUMMARY:Shakhar Smorodinsky (BGU) - Extended VC-dimension and Radon and Tve rberg-type Theorems for Unions of Convex Sets DESCRIPTION:Lecturer:Shakhar Smorodinsky\n Location:814 Amado\n Radon’s t heorem asserts that any set P of at least d+2 points in R^d can be partiti oned into two parts whose convex hulls intersect. In this talk\, I will pr esent our recent result that settles a long-standing open problem posed by Gil Kalai in the 1970s. We obtain a near-tight estimate\, for every dime nsion d and integer s≥1\, the smallest number f(d\,s) such that any set of f(d\,s) points in R^d admits a partition P=A∪B with the property that any union of s convex sets containing A must intersect any union of s con vex sets containing B. The classical Radon theorem corresponds to the case s=1 and is equivalent to the fact that f(d\,1)=d+2 . We also extend our f ramework to a Tverberg-type theorem for unions of convex sets. Our proofs are combinatorial and our bounds extend to so-called abstract convexity spaces with certain separability conditions.\n\n\n\n\n\nJoint work with N oga Alon.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:579@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251211T113000 DTEND;TZID=Asia/Jerusalem:20251211T123000 DTSTAMP:20251209T090615Z URL:https://math.technion.ac.il/en/events/remarks-on-convex-domains-of-max imal-symplectic-size/ SUMMARY:Remarks on convex domains of maximal symplectic size DESCRIPTION:Lecturer:Pazit Haim-Kislev (Institute for Advanced Study) \n Lo cation:Amado 919\n Symplectic capacities are invariants that quantify the size of symplectic manifolds using themes from Hamiltonian dynamics and sy mplectic topology. While convexity is not preserved under symplectomorphis ms\, convex domains nevertheless exhibit notable behavior with respect to these capacities. Viterbo's volume--capacity conjecture (2000) suggests th at\, among convex domains of equal volume\, the ball has maximal capacity. By capturing the interplay between convex and symplectic geometries\, thi s simply formulated conjecture has become highly influential in the study of symplectic capacities\, prompting extensive research. One result in thi s direction shows that smooth domains which are symplectic Zoll—a dynami cal property—are local maximizers.\n\nIn this talk\, I will present a co unterexample to Viterbo’s conjecture developed jointly with Yaron Ostrov er and discuss follow-up questions. One implication is that a capacity max imizer cannot be smooth and strictly convex\, raising the question of char acterizing nonsmooth dynamical properties that detect local maximizers. I will propose a dynamical extension of the Zoll property to nonsmooth domai ns and discuss its equivalence with certain topological properties.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:560@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251215T113000 DTEND;TZID=Asia/Jerusalem:20251215T123000 DTSTAMP:20251214T071148Z URL:https://math.technion.ac.il/en/events/10022/ SUMMARY:Virtual homological torsion in low dimensions DESCRIPTION:Lecturer:Jonathan Fruchter (Bonn)\n Location:Amado 814\n A long -standing conjecture of Nicolas Bergeron and Akshay Venkatesh\npredicts th at in closed hyperbolic 3-manifolds\, the amount of torsion in\nthe first homology of finite-sheeted normal covers should grow\nexponentially with t he degree of the cover as the covers become larger\,\nat a rate reflecting the volume of the manifold. Yet no finitely\npresented residually finite group is known to exhibit exponential\ntorsion growth in first homology al ong an exhausting chain of\nfinite-index normal subgroups.\n\nIn this talk I will explain how a two-dimensional lens offers a clearer\nview of some of the underlying mechanisms that create homological\ntorsion in finite co vers\, and why obtaining exponential growth may be\nmore tractable in this setting. I will also discuss how these ideas\nconnect to the question of profinite rigidity: how much information\nabout a group is encoded in its finite quotients.\n\n \;\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:580@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251215T153000 DTEND;TZID=Asia/Jerusalem:20251215T163000 DTSTAMP:20251210T112731Z URL:https://math.technion.ac.il/en/events/equidistribution-of-large-sphere s-in-horospheres/ SUMMARY:Equidistribution of large spheres in horospheres. DESCRIPTION:Lecturer:Asaf Katz (Georgia Institute of Technology)\n Location :Room 814\, Amado Mathematics Building\n Abstract - A classical theorem sh ows that large spheres equidistribute in tori. This result fueled landmark results in harmonic analysis including differentiation theorems by Stein and Bourgain.\n\nRelated ergodic theorems for spherical averages of R^n ac tions were proven by R. Jones and M. Lacey based on the approach of Stein. \n\n \;\n\nWe consider the problem of spherical averages along a horos pherical R^n action on a homogenous space and show that all such spheres e quidistribute in the homogeneous space\, using effective disjointness theo rem together with a new Van-der-Corput estimate inspired by Stein’s G-fu nction bound.\n CATEGORIES:Colloquium,Seminars LOCATION:Room 814\, Amado Mathematics Building END:VEVENT BEGIN:VEVENT UID:545@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251216T113000 DTEND;TZID=Asia/Jerusalem:20251216T123000 DTSTAMP:20251214T050217Z URL:https://math.technion.ac.il/en/events/tba-39/ SUMMARY:Continuous operators and the Banach Tarski paradox (Simon) DESCRIPTION:Lecturer:Robert Simon (London School of Economics)\n Location:A mado 814 and zoom\n We demonstrate continuous operators on function spaces from a probability space to a simplex such that the only fixed points of these operators is a function that cannot be measurable with respect to an y finitely additive measure that extends the probability measure. We belie ve this situation is ubiquitous and exists in many other contexts.\n https ://technion.zoom.us/j/96498034171 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 and zoom END:VEVENT BEGIN:VEVENT UID:522@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251222T113000 DTEND;TZID=Asia/Jerusalem:20251222T123000 DTSTAMP:20251214T081937Z URL:https://math.technion.ac.il/en/events/measure-theoretic-paradoxes-from -continuous-optimization/ SUMMARY:Measure theoretic paradoxes from continuous optimization DESCRIPTION:Lecturer:Robert Simon (London School of Economics)\n Location:A mado 814\n There are problems of optiization for which one can optimize lo cally or one can have a finitely additively measurable outcome\, but never both together. This is a connection between continuous operators in funct ion spaces to the Banach Tarski Paradox and non amenable group and semi gr oup action. \n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:583@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251222T153000 DTEND;TZID=Asia/Jerusalem:20251222T163000 DTSTAMP:20251218T070406Z URL:https://math.technion.ac.il/en/events/the-different-faces-of-anti-conc entration/ SUMMARY:The different faces of anti-concentration DESCRIPTION:Lecturer:Dan Mikulincer ( University of Washington)\n Location: Room 814\, Amado Mathematics Building\n Abstract: We will review different notions of what it means to be anti-concentrated\, and look at how these definitions relate to each other\, sometimes leading to surprising and non trivial consequences. The talk will also cover applications ranging from a lgorithmic complexity to harmonic analysis and convex geometry.\n CATEGORIES:Colloquium,Seminars LOCATION:Room 814\, Amado Mathematics Building END:VEVENT BEGIN:VEVENT UID:581@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251223T103000 DTEND;TZID=Asia/Jerusalem:20251223T113000 DTSTAMP:20251216T075332Z URL:https://math.technion.ac.il/en/events/phase-transitions-in-the-frog-mo del-note-the-unusual-time/ SUMMARY:Phase transitions in the frog model (NOTE THE UNUSUAL TIME) DESCRIPTION:Lecturer:Omer Angel (UBC)\n Location:Meyer building (room 861)\ n The frog model is an interacting particle system modeling the spread of an infection in a moving population\, among other things. It can also be v iewed as a model of dependent\, directed percolation. We show that the mod el exhibits a phase transition on several classes of transitive graphs\, i ncluding polynomial growth and non-amenable graphs. We further show that t he phase transition is sharp. Joint work with Jonathan Hermon\, Daniel de la Riva Massaad\, and Yuliang Shi.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (room 861) END:VEVENT BEGIN:VEVENT UID:563@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251223T113000 DTEND;TZID=Asia/Jerusalem:20251223T123000 DTSTAMP:20251126T101036Z URL:https://math.technion.ac.il/en/events/symbolic-dynamics-and-graph-alge bras-dor-on/ SUMMARY:Symbolic Dynamics and Graph Algebras (Dor-On) DESCRIPTION:Lecturer:Adam Dor-On (Haifa University)\n Location:Amado 814 an d zoom\n Symbolic dynamics provides simple yet surprisingly rich models fo r dynamical systems\, though many fundamental classification problems rema in unresolved. A central example is the conjugacy problem for subshifts of finite type (SFTs)\, whose complexity is reflected in deep links to combi natorics and matrix theory. Building on the seminal work of Cuntz and Krie ger\, one can associate graph C*-algebras and Leavitt path algebras to SFT s in a way that recovers classical invariants while also producing new (op erator) algebraic obstructions to conjugacy.\n\n \;\n\nIn this talk\, I will present recent advances in understanding the relationship between s ymbolic dynamics and graph algebras\, including a resolution of a question of Eilers showing that eventual conjugacy of SFTs coincides with graded h omotopy equivalence of the associated graph C*-algebras. These results ill ustrate how graph algebras\, in both the analytic and purely algebraic set tings\, not only shed light on longstanding problems in dynamics but also open new avenues at the interface of functional analysis\, pure algebra\, non-commutative geometry\, and quantum mathematics.\n https://technion.zo om.us/j/96498034171 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 and zoom END:VEVENT BEGIN:VEVENT UID:582@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251223T113000 DTEND;TZID=Asia/Jerusalem:20251223T123000 DTSTAMP:20251216T075646Z URL:https://math.technion.ac.il/en/events/sharp-phase-transitions-for-k-fo ld-coverage-using-morse-theory/ SUMMARY:Sharp phase transitions for k-fold coverage using Morse theory DESCRIPTION:Lecturer:Yohai Reani (Technion)\n Location:Meyer building (room 861)\n The study of random k-fold coverage explores when every point in a “big set” is covered\nby at least k “small sets” whose centres ar e randomly placed. This problem arises in\nmany fields\, with applications in wireless networks\, sensor deployment\, stochastic\ngeometry etc.\nMot ivated by advances in the field of random topology\, in this talk we intro duce a novel\nanalysis of k-fold coverage processes using the k-nearest ne ighbor (kNN) distance\nfunction\, whose sublevel sets are the 𝑘-fold co vers.\nThis talk has two parts. Firstly\, we provide an adaptation of Mors e theory to the kNN\ndistance function\, showing that its critical points are the sole obstructions for k-fold\ncoverage. Moreover\, we provide a co mbinatorial description of these critical points\, and\ntheir effect on th e k-fold covers’ topology. Secondly\, in the probabilistic setting where \ncentres are generated by a homogeneous Poisson point process\, we prove phase\ntransitions for the vanishing of critical points\, compute the thre shold for k-fold coverage\,\nand prove a Poisson process approximation (in both location and size) for the last\nuncovered regions.\n\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (room 861) X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=\, ;X-APPLE-RADIUS=100;X-TI TLE=:geo:0,0 END:VEVENT BEGIN:VEVENT UID:567@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251224T123000 DTEND;TZID=Asia/Jerusalem:20251224T133000 DTSTAMP:20251218T113605Z URL:https://math.technion.ac.il/en/events/tbd-2/ SUMMARY:שימושים ומבנה של גרפים מקריים DESCRIPTION:Lecturer:Yuval Peled (HUJI)\n Location:Amado 232\n גרף מק רי הוא מודל מתמטי בסיסי של גרף שבו השכנוי ות בין הקודקודים נקבעות באקראי. החלממאמר ם המכונן של ארדש ורייני משנת 1959 \, הפכו גר פים מקריים לאחד האובייקטים הנחקרים ביות רבקומבינטוריקה\, בהסתברות ובחקר מערכות מ ורכבות. בהרצאה נדון בשימושים של גרפים מק ריים\, ונראה כיצד אקראיות משמשת ליצירת גר פים בעלי תכונות מעניינות וחשובות שאיננו יודעים לבנות באופן מפורש. בנוסף\, נעסוק ב מבנה של גרפים מקריים ובמעברי פאזה בתכונו ת כגון קשירות וקיום רכיב קשירות ענק.\n CATEGORIES:Math Club,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:515@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251224T143000 DTEND;TZID=Asia/Jerusalem:20251224T152000 DTSTAMP:20251220T205342Z URL:https://math.technion.ac.il/en/events/gal-kronenberg/ SUMMARY:Gal Kronenberg (Oxford) -- Monotone arrays and a multidimensional R amsey Theorem DESCRIPTION:Lecturer:Gal Kronenberg\n Location:814 Amado\n A foundational r esult in Ramsey theory appears in a paper of Erdős and Szekeres from 1935 : any sequence of n^2 +1 distinct real numbers contains either an increasi ng or decreasing subsequence of length n+1. This simple result was one of the starting seeds for the development of Ramsey theory. We discuss a gene ralisation of the Erdős-Szekeres theorem to monotone arrays. We will show how to obtain improvements on a theorem proved by Fishburn and Graham 30 years ago thus confirming a conjecture posed by Bucic\, Sudakov\, and Tran . More precisely\, we will show that a doubly exponential upper bound hold s in all dimensions. Finally\, we will see how this is intimately connecte d to a generalisation of Ramsey Theorem on the cartesian product of clique s. Joint work with Antonio Girao and Alex Scott.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:576@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251224T153000 DTEND;TZID=Asia/Jerusalem:20251224T162000 DTSTAMP:20251217T235314Z URL:https://math.technion.ac.il/en/events/yotam-dikstein/ SUMMARY:ZOOM TALK: Yotam Dikstein (IAS) -- On High Dimensional Expanders DESCRIPTION:Lecturer:Yotam Dikstein \n Location:ZOOM!\n Expanders are graph s that are both edge-sparse and well connected. They have been an instrume ntal tool in many results in mathematics and computer science\, some of wh ich seem to have little connection to graphs at all. High dimensional expa nders (HDXs) are hypergraph analogues of expander graphs — sparse and we ll connected hypergraphs. HDXs have already played a key role in several r ecent results in theoretical computer science and combinatorics. However\, much of their underlying theory remains unexplored.\n\nMotivated by this\ , we will see what HDXs are\, why they generalize expander graphs\, and ho w they serve as a common setting for results in probability and computatio nal complexity. In particular\, we will how high dimensional expanders giv e rise to new Chernoff-type inequalities for HDXs\, and also some applicat ions to questions in computational complexity.\n\nThe talk will not assume prior background in complexity theory and is aimed at a broad audience.\n \n \;\n https://technion.zoom.us/j/98985734495 CATEGORIES:Combinatorics Seminar,Seminars LOCATION:ZOOM! END:VEVENT BEGIN:VEVENT UID:585@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251225T123000 DTEND;TZID=Asia/Jerusalem:20251225T133000 DTSTAMP:20251221T072002Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-hikita -conjectures-for-quiver-theories-and-enumerative-geometry/ SUMMARY:Cable Car Algebra Seminar: Hikita Conjectures for Quiver Theories a nd Enumerative Geometry DESCRIPTION:Lecturer:Vasily Krylov (Harvard)\n Location:Technion\, Amado Bu ilding\, Room 814\n Higgs and Coulomb branches of quiver gauge theories fo rm two rich families of Poisson varieties that are expected to be exchange d by 3D mirror symmetry. The Hikita conjectures relate the algebra and geo metry of these branches in a nontrivial way\, allowing one to extract new structures on one side by studying its mirror. In this talk\, I will give an overview of the current state of the Hikita conjecture\, with an emphas is on its interplay with the enumerative geometry of the Higgs branch and related combinatorics. I will illustrate how the picture works for ADE qui vers.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:586@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251225T133000 DTEND;TZID=Asia/Jerusalem:20251225T143000 DTSTAMP:20251221T072920Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-elemen ts-with-few-fixed-points-in-group-actions/ SUMMARY:Cable Car Algebra Seminar: Elements with few fixed points in group actions DESCRIPTION:Lecturer:Daniele Garzoni (U. Southern California) \n Location:T echnion\, Amado Building\, Room 814\n In this talk\, we will be concerned with actions of finite groups\, and more specifically with elements fixing “few” points in such actions. One of the goals will be to explain why this is interesting\, highlighting applications to polynomials\, random g eneration\, and\, time permitting\, monodromy groups of curves.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:593@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251230T113000 DTEND;TZID=Asia/Jerusalem:20251230T123000 DTSTAMP:20251228T065722Z URL:https://math.technion.ac.il/en/events/a-shannon-kneser-poulsen-theorem / SUMMARY:A Shannon-Kneser-Poulsen theorem DESCRIPTION:Lecturer:Gautam Aishwarya (Michigan)\n Location:Meyer building (room 861)\n Consider the following questions.\nQuestion 1: Does the volum e of a union of balls decrease when their centres are brought pairwise clo ser?\nQuestion 2: Does communication over an additive white Gaussian nois e channel worsen when the transmitters are brought pairwise closer?\nThese  questions appeal to our basic intuition about geometry and information  transmission\, which seems to suggest the answer to both of them is yes. The first question is open\; the Kneser-Poulsen conjecture asserts that i t has an affirmative answer. In this talk\, based on well-known analogies between convex geometry and information theory\, we will frame (and prove ) the natural entropic analogue of the Kneser-Poulsen conjecture. As a cor ollary\, an affirmative answer to the second question is obtained. Moreove r\, we will see how an elementary combination of our result with Costa’s entropy power inequality yields a unified strengthening of both statement s. This talk is based on joint work with Dongbin Li.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (room 861) END:VEVENT BEGIN:VEVENT UID:564@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251230T113000 DTEND;TZID=Asia/Jerusalem:20251230T123000 DTSTAMP:20251222T165023Z URL:https://math.technion.ac.il/en/events/a-joint-spectral-radius-for-tupl es-of-operators-shalit/ SUMMARY:Constrained sphere packing and the interpolation problem for positi ve definite functions (Pascoe) DESCRIPTION:Lecturer:James Pascoe (Drexel University)\n Location:Amado 814 and zoom\n Delsarte's method provides a framework for analysis of sphere p acking problems in terms of positive definite functions. Constrained packi ng\, where only a pre-specified set of angles between points may occur\, i s\, in turn\, naturally governed by the interpolation theory for positive definite functions. In this talk\, we discuss the general theory of positi ve definite functions on the sphere\, Delsarte's method and its geometric kernel embedding interpretation\, related interpolation problems\, and oth er topics.\n\nBased on joining work with Sujit Sakharam Damase.\n https:// technion.zoom.us/j/96498034171 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 and zoom END:VEVENT BEGIN:VEVENT UID:584@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251230T133000 DTEND;TZID=Asia/Jerusalem:20251230T143000 DTSTAMP:20251221T071015Z URL:https://math.technion.ac.il/en/events/theoretical-guarantees-for-globa l-structure-from-motion/ SUMMARY:Theoretical Guarantees for Global Structure from Motion DESCRIPTION:Lecturer:Gilad Lerman (University of Minnesota)\n Location:Amad o 814\n Recovering 3D geometry from 2D images is a foundational problem in computer vision. Part of the common pipeline in the field has depended on the 45-year-old Random Sample Consensus (RANSAC) algorithm\, which relies on minimal subset sampling—effectively ignoring the bulk of the data du ring model generation. I will present a robust\, global\, and complementar y alternative: the Subspace-constrained Tyler’s Estimator (STE). I will analyze the success of STE by assuming a generalized weak inlier-outlier m odel\, pushing the outlier fraction beyond the threshold where the problem is traditionally proven to be computationally hard. I will show that in t his setting\, provided the initialization satisfies a specific condition\, STE can recover the underlying subspace with high probability. I will als o review additional mathematical ideas to infer global camera poses from r elative ones—specifically the recent Cycle-Sync method—and outline fut ure directions for robust geometric perception.\n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:591@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251231T133000 DTEND;TZID=Asia/Jerusalem:20251231T143000 DTSTAMP:20251225T135301Z URL:https://math.technion.ac.il/en/events/spectral-gnns-are-incomplete-on- graphs-with-a-simple-spectrum/ SUMMARY:Spectral GNNs are Incomplete on Graphs with a Simple Spectrum DESCRIPTION:Lecturer:Snir Hordan\n Location:Amado 8th Floor Lounge\n Spectr al features are widely incorporated within Graph Neural Networks (GNNs) to improve their expressive power\, or their ability to distinguish among no n-isomorphic graphs. One popular example is the usage of graph Laplacian e igenvectors for positional encoding in MPNNs and Graph Transformers. The e xpressive power of such Spectrally-enhanced GNNs (SGNNs) has recently rece ived growing attention\, yet current approaches only rely on combinatorial isomorphism measures to evaluate these spectral methods\, yielding limite d insight. We leverage a well-studied paradigm of classifying graphs by th eir largest eigenvalue multiplicity to introduce an expressivity hierarchy for SGNNs. We then prove that many SGNNs are incomplete even on graphs wi th distinct eigenvalues. To mitigate this deficiency\, we adapt rotation e quivariant neural networks to the graph spectra setting to propose a metho d to provably improve SGNNs' expressivity on simple spectrum graphs. We em pirically verify our theoretical claims via an image classification experi ment on the MNIST Superpixel dataset and eigenvector canonicalization on g raphs from ZINC.\n\n CATEGORIES:Pizza Seminar,Seminars LOCATION:Amado 8th Floor Lounge END:VEVENT BEGIN:VEVENT UID:516@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20251231T143000 DTEND;TZID=Asia/Jerusalem:20251231T152000 DTSTAMP:20251225T175526Z URL:https://math.technion.ac.il/en/events/peleg-michaeli/ SUMMARY:Peleg Michaeli (Oxford) -- Ramsey–Turán problems for matchings DESCRIPTION:Lecturer:Peleg Michaeli\n Location:814 Amado\n I will discuss R amsey and Ramsey–Turán type problems for matchings. In particular\, I w ill answer the following question: among all graphs that admit an edge col ouring with no monochromatic matching of a given size\, which ones have th e maximum number of triangles (or\, more generally\, copies of a fixed cli que)? This question generalises both the Ramsey number of matchings (Cocka yne–Lorimer) and the Turán number of matchings (Erdős–Gallai)\, toge ther with its clique-count variant. Our proof identifies two explicit extr emal constructions and uses a compression-based optimisation algorithm tha t relies on the Gallai–Edmonds decompositions in each colour. Time permi tting\, I will discuss additional applications of this algorithm.\n\n\n\n\ n\nBased on joint work with Peter Keevash.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:594@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260104T150000 DTEND;TZID=Asia/Jerusalem:20260104T163000 DTSTAMP:20260102T220049Z URL:https://math.technion.ac.il/en/events/following-harish-chandras-footst eps/ SUMMARY:Following Harish-Chandra’s Footsteps DESCRIPTION:Lecturer:Uri Onn\n Location:Amado 509\n A recurrent theme in re presentation theory is the study of representations of entire families of groups\, capitalizing on the interactions between them. The first incarnat ion of this approach dates back to the origins of representation theory\, with the study of representations of the symmetric groups via induction an d restriction. Harish-Chandra adapted these ideas to other families of gro ups\, such as semisimple Lie groups. His approach\, known as the Harish-Ch andra philosophy of cusp forms\, was subsequently applied to further famil ies\, including finite groups of Lie type\, among many others.\nIn this le cture\, I will describe a variant of these ideas that is suitable for prof inite groups. All necessary ingredients will be defined. This is joint wor k with Tyrone Crisp and Ehud Meir.\n CATEGORIES:Representation Theory Learning Seminar,Seminars LOCATION:Amado 509 END:VEVENT BEGIN:VEVENT UID:596@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260106T113000 DTEND;TZID=Asia/Jerusalem:20260106T123000 DTSTAMP:20260105T122056Z URL:https://math.technion.ac.il/en/events/atypical-decay-rates-for-atypica l-heights-in-random-recursive-trees/ SUMMARY:Atypical Decay Rates for Atypical Heights in Random Recursive Trees DESCRIPTION:Lecturer:Heng Ma (Technion) \n Location:Meyer building (electri cal engeneering)\, room 861\n  We study the large deviation probabilities of the height in random recursive trees. We establish polynomial decay fo r the upper tail and stretched-exponential decay for the lower tail. Surpr isingly\, the lower tail involves an atypical pre-factor that grows to inf inity slower than any $k$-fold iterated logarithm. Based on a joint work w ith Xinxin Chen (BNU).\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (electrical engeneering)\, room 861 END:VEVENT BEGIN:VEVENT UID:546@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260106T113000 DTEND;TZID=Asia/Jerusalem:20260106T123000 DTSTAMP:20251231T154407Z URL:https://math.technion.ac.il/en/events/tba-40/ SUMMARY:Noncommutative meromorphic functions (Shamovich) DESCRIPTION:Lecturer:Eli Shamovich (Ben-Gurion University)\n Location:Amado 814 and zoom\n A classical result in complex analysis is that a meromorph ic function on the complex plane is a ratio of two entire functions. A ver y simple example of a meromorphic function is a rational function. In the noncommutative setting rational functions are a more complicated object. T he free skew field (the skew field of all noncommutative rational function s) was constructed by Amitsur and by Cohn. A very concrete way to look at these objects is via realizations. Realizations allow us to deal with line ar objects and a single inversion for the price of dealing with (perhaps v ery big) matrices and vectors. In this talk\, I will discuss two construct ions of noncommutative meromorphic functions\, one arising from realizatio ns and one from a purely algebraic construction. The first one gives inter esting results even in the single variable case whereas the second one pro vides a set of new examples of topological semi-free ideal rings. If time will permit\, I will discuss an application to free probability.\n\nThe ta lk is based on joint work with Meric Augat and Rob Martin.\n https://techn ion.zoom.us/j/96498034171 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 and zoom END:VEVENT BEGIN:VEVENT UID:578@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260106T133000 DTEND;TZID=Asia/Jerusalem:20260106T143000 DTSTAMP:20251204T100943Z URL:https://math.technion.ac.il/en/events/dynamical-and-dimensional-proper ties-of-schrodinger-operators-under-finite-rank-perturbations/ SUMMARY:Dynamical and dimensional properties of Schrödinger operators unde r finite-rank perturbations DESCRIPTION:Lecturer:Netanel Levi\n Location:Amado 814\n In this lecture\, we will present several dynamical and fractal-dimensional ways of characte rizing the spectral measures of Schrödinger operators\, such as Rajchman behavior and Hausdorff/packing dimensions\, and discuss the extent to whic h these properties are stable under rank-one perturbations.\n\nWe begin wi th the concrete setting of half-line Schrödinger operators\, where a theo rem of Gordon shows that generic rank-one perturbations eliminate pure poi nt spectrum\, ruling out the most extreme dynamical and dimensional behavi or. I will then describe constructions demonstrating that properties only slightly weaker than pure point spectrum can\, in fact\, be entirely stabl e: for certain sparse half-line models\, both packing-dimension-zero and n on-Rajchman behavior persist for every rank-one perturbation.\n\nIf time p ermits\, we will also examine how spectral dimensions behave when passing from the whole line to the half-line. I will present an operator whose spe ctral measure on the line has Hausdorff dimension one\, whereas every half -line restriction - under any boundary condition - has dimension zero\, ev en though the two settings differ only by a finite-rank perturbation.\n LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:592@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260107T123000 DTEND;TZID=Asia/Jerusalem:20260107T133000 DTSTAMP:20251225T135527Z URL:https://math.technion.ac.il/en/events/%d7%9e%d7%94%d7%95-%d7%92%d7%a8% d7%a3-%d7%a7%d7%a9%d7%99%d7%97/ SUMMARY:מהו גרף קשיח? DESCRIPTION:Lecturer:אורית רז\n Location:אמאדו 232\n בתיאו ריה של קשיחות של גרפים\, מסתכלים על מבנים שמורכבים מנקודות וממוטות שמחברים ביניהן \, ושואלים מתי מבנה כזה הוא קשיח\, כלומר ל א יכול להתעוות או ״להתקמט״ בלי לשבור את ה מוטות.  בהרצאה אציג את המושג של גרף קשיח\, נדבר על תכונות של גרפים כאלה ונדון בשאלה כיצד ניתן לקבוע אם גרף נתון הוא קשיח או ל א.\n CATEGORIES:Math Club,Seminars LOCATION:אמאדו 232 END:VEVENT BEGIN:VEVENT UID:517@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260107T143000 DTEND;TZID=Asia/Jerusalem:20260107T152000 DTSTAMP:20251220T205047Z URL:https://math.technion.ac.il/en/events/vanessa-kosoy/ SUMMARY:Vanessa Kosoy (Technion) -- Ambiguous online learning DESCRIPTION:Lecturer:Vanessa Kosoy \n Location:814 Amado\n We study a new v ariant of online learning that we call "ambiguous online learning". In thi s setting\, the learner is allowed to produce multiple predicted labels. S uch an "ambiguous prediction" is considered correct when at least one of t he labels is correct\, and none of the labels are "predictably wrong". We show that in this setting\, the optimal mistake bound is captured by a co mbinatorial invariant that we call "ambiguous Littlestone dimension". Some combinatorial invariants associated with the lattice of label-sets are al so relevant. We demonstrate a trichotomy of mistake bounds: up to logarith mic factors\, any hypothesis class has an optimal mistake bound of either Theta(1)\, Theta(sqrt(N)) or N.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:589@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260111T143000 DTEND;TZID=Asia/Jerusalem:20260111T153000 DTSTAMP:20251223T061834Z URL:https://math.technion.ac.il/en/events/a-convex-hull-volume-based-anoma ly-detection/ SUMMARY:A Convex Hull Volume-Based Anomaly Detection DESCRIPTION:Lecturer:Uri Itai (GTIIT)\n Location:Room 814\, Amado Mathemati cs Building\n Abstract: Detecting out-of-distribution (OOD) data is essent ial for model reliability. I present a convex-hull (CH)–based anomaly de tection method that exploits the observation that OOD samples expand the C H volume. By iteratively removing points and tracking volume changes\, the method establishes a decision boundary between in- and out-of-distributio n data. Tested against seven baselines on ten datasets\, it achieves perfo rmance comparable to state-of-the-art techniques and includes an efficient criterion for identifying when this approach offers the greatest advantag e.  \n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Room 814\, Amado Mathematics Building END:VEVENT BEGIN:VEVENT UID:597@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260112T153000 DTEND;TZID=Asia/Jerusalem:20260112T163000 DTSTAMP:20260106T072559Z URL:https://math.technion.ac.il/en/events/tubular-neighborhoods-and-holomo rphic-curves/ SUMMARY:Tubular neighborhoods and holomorphic curves. DESCRIPTION:Lecturer:Sara Tukachinsky (TAU)\n Location:Room 814\, Amado Mat hematics Building\n Abstract:\n\nIn studying the geometry of smooth manifo lds\, one fundamental problem is that of telling apart different submanifo lds. By "telling apart" we could mean various things\, for example\, we co uld ask whether or not two given submanifolds are isotopic to one another.   A typical way of showing two submanifolds are non-isotopic is to find a n invariant that is preserved under isotopy but takes different values on the two submanifolds.\n\nIn symplectic geometry\, a submanifold of particu lar importance is a Lagrangian submanifold\, and telling those apart is im portant accordingly.\n\nOne isotopy invariant associated to a Lagrangian s ubmanifold is the count of (pseudo-)holomorphic disks with boundary condit ion in the Lagrangian. Surprisingly enough\, the analysis of such holomorp hic disks can be carried out in a small tubular neighborhood of the Lagran gian.\n\nIn this talk\, I will illustrate the above problem in the most cl assical example of two Lagrangian tori in the complex plane \\C^2. I will then introduce an ongoing project\, joint with Yael Karshon and our studen t Yoav Zimhony\, where we aim at applying similar ideas to new settings. A s a first step\, we give a tubular neighborhood theorem for certain singul ar Lagrangians.\n\nNo prior knowledge in symplectic geometry will be assum ed.\n\n"Light refreshments will be served at 15:00 at the faculty lounge o n the 8th floor."\n CATEGORIES:Colloquium,Seminars LOCATION:Room 814\, Amado Mathematics Building END:VEVENT BEGIN:VEVENT UID:599@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260113T113000 DTEND;TZID=Asia/Jerusalem:20260113T123000 DTSTAMP:20260113T085439Z URL:https://math.technion.ac.il/en/events/functional-limit-theorems-for-se rvice-systems-with-dependent-service-and-patience-times/ SUMMARY:Functional Limit Theorems for Service Systems with Dependent Servic e and Patience Times (CANCELLED) DESCRIPTION:Lecturer:Ohad Perry (SMU)\n Location:Meyer building (room 861)\ n We consider many-server queueing systems\, assuming customers’ service requirements depend\non their patience for waiting in queue. In this sett ing\, establishing heavy-traffic limiting\napproximations is hard because the queue process does not admit a finite-dimensional Markov\nrepresentati on\, and an infinite-dimensional measure-valued process representation lac ks a\nmartingale property that is key in proving weak limit theorems.\nIn this presentation\, I will discuss two of my recent works with my former P hD student Lun Yu:\nThe first considers service systems with perfectly cor related service and patience times that are\nmarginally exponentially dist ributed. Under the well-known square-root staffing rule\, we prove\nthat t he sequence of diffusion-scaled queue processes converges to the Halfin-Wh itt diffusion\napproximation for the Erlang-C model\, which has no abandon ment. In particular\, when the\ntraffic intensity converges to 1 from abov e\, the limit process is transient\, despite the stochastic\nsystems in th e pre-limit being ergodic due to abandonment. A lower-order fluid limit\, combined\nwith an interchange of limits result\, proves that the steady-st ate queues in the transient-diffusion\ncase are of order O(n^{3/4}) as n i ncreases without bound.\nThe second work considers general joint service-p atience distributions with exponential\nmarginals. In this case\, the sequ ence of the diffusion-scaled queue processes converges weakly\nto the uniq ue strong solution to a stochastic integral equation\, which can be repres ented as a\nnonautonomous Stochastic Functional Differential Equation with Infinite Delay (SFDE-ID). We\nemploy the SFDE-ID representation to establ ish a necessary and sufficient condition for the limit\nprocess to be ergo dic\, and prove that its stationary distribution is the limit of the seque nce of\nstationary distributions of the diffusion-scaled queues. Interesti ngly\, whether the SFDE-ID is\nergodic depends on the joint distribution o f the service and patience times only via a single\nparameter\, which can therefore be considered as quantifying the strength of the dependence in\n our queueing setting.\n\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (room 861) END:VEVENT BEGIN:VEVENT UID:595@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260113T123000 DTEND;TZID=Asia/Jerusalem:20260113T133000 DTSTAMP:20260105T082419Z URL:https://math.technion.ac.il/en/events/bi-lipschitz-neural-representati on-of-continuous-anti-symmetric-functions/ SUMMARY:Bi-Lipschitz Neural Representation of Continuous Anti-Symmetric Fun ctions DESCRIPTION:Lecturer:Matan Mizrachi \n Location:Amado 232\n Motivated by ap plications in simulating quantum many-body systems\, we propose a new univ ersal ansatz construction framework\, along with a new universal ansatz\, for approximating antisymmetric functions\, while taking a different appro ach to any proposed ansatz. Each of these approaches possesses advantages over previous alternative ansatzs\; the first approach utilizes a bi-Lipsc hitz embedding with respect to a naturally defined metric\, followed by a highly modular framework for constructing an anti-symmetrizing projection\ , which could further generalizes the bi-Lipschitz ansatz we construct pri orly. As a result\, we can obtain quantitative approximations for Lipschit z continuous antisymmetric functions. Moreover\, we provide preliminary ex perimental evidence of the improved performance of these ansatzes for lear ning antisymmetric functions.\n\n \;\n\nAdvisor: Dr. Nadav Dym\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:603@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260114T143000 DTEND;TZID=Asia/Jerusalem:20260114T152000 DTSTAMP:20260112T112901Z URL:https://math.technion.ac.il/en/events/shay-moran-2/ SUMMARY:Shay Moran (Technion) -- Combinatorial and Geometric Challenges in PAC Learning with Partial Concepts DESCRIPTION:Lecturer:Shay Moran\n Location:814 Amado\n I will describe a re cent extension of the classical PAC (Probably Approximately Correct) learn ing framework [Vapnik and Chervonenkis\, 1970s\; Valiant\, 1980s]. This ex tension makes it possible to model a wide range of common and practical da ta-dependent assumptions\, such as margin conditions or low-dimensional st ructure. The key idea is to move from total function classes to partial f unction classes\, where functions may be undefined on certain regions\, re flecting assumptions about where the data lie. \n\n\n\nThis perspective r eveals phenomena fundamentally different from the classical PAC model. For example\, the classical empirical risk minimization (ERM) principle — w hich fully characterizes learnability in the classical PAC framework and i s viewed as the central algorithmic paradigm — fails for general partial function classes.\n\n\n\nI will then turn to the broader question of how much more expressive partial functions are compared to traditional total f unctions. This leads to new problems at the interface of combinatorics\, g eometry\, and topology\, which I will present in the talk. The talk will n ot assume prior knowledge in learning theory.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:588@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260115T110000 DTEND;TZID=Asia/Jerusalem:20260115T120000 DTSTAMP:20260108T143121Z URL:https://math.technion.ac.il/en/events/jonathan-shafer-2/ SUMMARY:Jonathan Shafer (MIT) - From Learning Theory to Cryptography: Prova ble Guarantees for AI DESCRIPTION:Lecturer:Jonathan Shafer\n Location:814 Amado\n Ensuring that A I systems behave as intended is a central challenge in contemporary AI. Th is talk offers an exposition of provable mathematical guarantees for learn ing and security in AI systems.\n\n\n\n\nStarting with a classic learning- theoretic perspective on generalization guarantees\, we present two result s quantifying the amount of training data that is provably necessary and s ufficient for learning: (1) In online learning\, we show that access to un labeled data can reduce the number of prediction mistakes quadratically\, but no more than quadratically [NeurIPS23\, NeurIPS25 Best Paper Runner-Up ]. (2) In statistical learning\, we discuss how much labeled data is actua lly necessary for learning—resolving a long-standing gap left open by th e celebrated VC theorem [COLT23].\n\n\n\nProvable guarantees are especiall y valuable in settings that require security in the face of malicious adve rsaries. The main part of the talk adopts a cryptographic perspective\, sh owing how to: (1) Utilize interactive proof systems to delegate data colle ction and AI training tasks to an untrusted party [ITCS21\, COLT23\, NeurI PS25]. (2) Leverage random self-reducibility to provably remove backdoors from AI models\, even when those backdoors are themselves provably undetec table [STOC25].\n\n\n\nBio: Jonathan Shafer is a Postdoctoral Associate at MIT\, working with Vinod Vaikuntanthan. He co-organizes the MIT ML+Crypto Seminar. Previously\, he earned a PhD from UC Berkeley advised by Shafi G oldwasser.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:605@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260118T160000 DTEND;TZID=Asia/Jerusalem:20260118T170000 DTSTAMP:20260115T122145Z URL:https://math.technion.ac.il/en/events/decoupling-theorems-via-chi-squa red-divergences/ SUMMARY:Decoupling Theorems via Chi-Squared Divergences DESCRIPTION:Lecturer:Cherut Shriki\n Location:Amado 814 \n We introduce a b road family of quantum Chi-Squared divergences and use it to prove a decou pling theorem. Additionally\, we demonstrate an operational application of this theorem by deriving a bound on entanglement distillation.\n\nAdvisor : Prof. Gilad Gour\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:602@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260119T153000 DTEND;TZID=Asia/Jerusalem:20260119T163000 DTSTAMP:20260111T084204Z URL:https://math.technion.ac.il/en/events/entropy-equipartition-along-disc rete-structures/ SUMMARY:Entropy equipartition along discrete structures DESCRIPTION:Lecturer:Felix Pogorzelski (University of Leipzig) \n Location: Amado 232\n Abstract:\nSince Shannon’s pioneering work in the late 1940s \, entropy equipartition has played a central role in the study of dynamic al systems.\nIn this talk\, we explore how this phenomenon appears in stoc hastic processes indexed by spaces with symmetries coming from group actio ns.\nWe then present some new results showing pointwise almost sure equipa rtition along spherical structures in trees.\nJoint with Elias Zimermann ( Leipzig).\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:607@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260120T113000 DTEND;TZID=Asia/Jerusalem:20260120T123000 DTSTAMP:20260119T133222Z URL:https://math.technion.ac.il/en/events/clustering-in-random-pattern-avo iding-permutations/ SUMMARY:Clustering in Random Pattern-Avoiding Permutations DESCRIPTION:Lecturer:Ross Pinsky (Technion)\n Location:Meyer building (room 861)\n Abstract\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (room 861) END:VEVENT BEGIN:VEVENT UID:570@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260120T113000 DTEND;TZID=Asia/Jerusalem:20260120T123000 DTSTAMP:20260115T154534Z URL:https://math.technion.ac.il/en/events/inca-seminar-davis/ SUMMARY:Rigidity for Graph Product von Neumann Algebras (Davis) DESCRIPTION:Lecturer:Michael Davis (BGU)\n Location:Amado 814 and zoom\n I will discuss joint work with Ionut Chifan and Daniel Drimbe on various rig idity aspects of von Neumann algebras arising from graph product groups wh ose underlying graph is a certain cycle of cliques and whose vertex groups are wreath-like product property (T) groups. In particular\, I will descr ibe all symmetries of these von Neumann algebras by establishing formulas in the spirit of Genevois and Martin’s results on automorphisms of graph product groups. In doing so\, I will highlight the methods used from Popa ’s deformation/rigidity theory as well as new techniques pertaining to g raph product algebras.\n https://technion.zoom.us/j/96498034171 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 and zoom END:VEVENT BEGIN:VEVENT UID:604@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260121T133000 DTEND;TZID=Asia/Jerusalem:20260121T143000 DTSTAMP:20260114T183823Z URL:https://math.technion.ac.il/en/events/the-mathematics-of-multi-agent-c oordination-and-control/ SUMMARY:The Mathematics of Multi-Agent Coordination and Control DESCRIPTION:Lecturer:Daniel Zelazo\n Location:Amado 232\n Many modern syste ms consist of large numbers of interacting agents whose behavior is not go verned by a single decision-maker\, but instead emerges from local interac tions. Examples range from networks of autonomous vehicles and robotic tea ms to distributed sensing systems and social networks. Understanding how s imple interaction rules give rise to coordinated behavior is a central cha llenge that naturally leads to rich mathematical questions. In this talk\, I will present an overview of the mathematics behind multi-agent coordina tion and control. I will begin with a brief introduction to control theory as the study of dynamical systems with feedback\, grounded in differentia l equations. I will then focus on coordination problems in networks of ag ents\, emphasizing consensus and formation control as two representative examples.  The discussion will highlight how tools from linear algebra\, graph theory\, and ordinary differential equations provide insight into stability\, convergence\, and robustness of collective behavior. The goal is to show how mathematically simple models can capture essential features of coordination in large-scale systems\, and to illustrate why multi-agen t control has become a fertile meeting point for dynamical systems\, netwo rks\, and linear systems theory.\n\n\n The talk will be in English.\n No te the unusual hour.\n\n\n\n CATEGORIES:Math Club,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:509@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260121T143000 DTEND;TZID=Asia/Jerusalem:20260121T152000 DTSTAMP:20260119T080550Z URL:https://math.technion.ac.il/en/events/noam-feinstein/ SUMMARY:Noam Feinstein (Technion) -- Improved Constructions for Ramsey Mult iplicities DESCRIPTION:Lecturer:Noam Feinstein \n Location:814 Amado\n The Ramsey mult iplicity c(t) is the limit as n tends to infinity of the smallest possible number of monochromatic t-cliques in a red/blue edge-coloring of the comp lete graph Kn\, normalized by (n choose t). Disproving a conjecture by Erd ős (1962)\, Thomason (1989) showed that c(4) is smaller than 1/32\, the v alue obtained from a random graph G(n\,1/2)\, but the exact value remains unknown. A recent work by Parczyk et al. (2024) has used local search heur istics on Cayley graphs\, and with considerable computational effort has g iven the so-far best known upper bound on c(4)\, and also on c(5). Introdu cing new methods and ideas\, we provide randomized constructions that impr ove these bounds\, showing c(4) <\; 0.030139 and c(5) <\; 0.001652. Ou r constructions are more structured\, symmetric\, and human-friendly than the previous ones\, paving the way for potential further progress on this longstanding problem and related questions.\n\nMSc advisor: Chaim Even Zoh ar\n\n \;\n\n \;\n CATEGORIES:Combinatorics Seminar,Graduation Seminars,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:600@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260122T113000 DTEND;TZID=Asia/Jerusalem:20260122T123000 DTSTAMP:20260108T153226Z URL:https://math.technion.ac.il/en/events/a-unified-framework-for-knot-inv ariants-using-dimer-models-and-spin-structures/ SUMMARY:A Unified Framework for Knot Invariants using Dimer Models and Spin Structures DESCRIPTION:Lecturer:Lee-Tohar Schlagman-Holzer\n Location:Amado 919\n The dimer model\, which is the study of perfect matchings on graphs\, is ubiqu itous in mathematical physics\, exhibiting deep connections to algebraic g eometry\, statistical mechanics and quantum computation. In this talk\, we first survey this landscape and then apply this rich theory to construct a unified framework for knot polynomials.\n\nFocusing on the Alexander and Jones polynomials\, we show that the computational distinction between th em manifests in the topology of the underlying graph. We conclude by demon strating how spin structures can be used to derive explicit determinantal formulas for these invariants\, offering a geometric perspective on their structure.\n CATEGORIES:Geometry and Topology Seminar,Graduation Seminars,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:601@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260122T113000 DTEND;TZID=Asia/Jerusalem:20260122T123000 DTSTAMP:20260111T070507Z URL:https://math.technion.ac.il/en/events/a-unified-framework-for-knot-inv ariants-using-dimer-models-and-spin-structures-2/ SUMMARY:A Unified Framework for Knot Invariants using Dimer Models and Spin Structures DESCRIPTION:Lecturer:Lee-Tohar Schlagman-Holzer\n Location:Amado 919\n The dimer model\, which is the study of perfect matchings on graphs\, is ubiqu itous in mathematical physics\, exhibiting deep connections to algebraic g eometry\, statistical mechanics and quantum computation. In this talk\, we first survey this landscape and then apply this rich theory to construct a unified framework for knot polynomials.\n\nFocusing on the Alexander and Jones polynomials\, we show that the computational distinction between th em manifests in the topology of the underlying graph. We conclude by demon strating how spin structures can be used to derive explicit determinantal formulas for these invariants\, offering a geometric perspective on their structure.\n\nAdvisor: Prof. Michael Polyak\n\n \;\n\n \;\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:609@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260122T123000 DTEND;TZID=Asia/Jerusalem:20260122T133000 DTSTAMP:20260120T085331Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-zeros- of-theta-functions/ SUMMARY:Cable Car Algebra Seminar: Zeros of theta functions DESCRIPTION:Lecturer:Roei Raveh (TAU)\n Location:Technion\, Amado Building\ , Room 814\n It is known that a modular form of weight k has about k/12 ze ros in the fundamental domain (and at infinity). A classical question in t he analytic theory of modular forms is “can we locate the zeros of a dis tinguished family of modular forms?”. In 1970\, F. Rankin and Swinnerton -Dyer proved that the zeros of the Eisenstein series all lie on the circul ar part of the boundary of the fundamental domain. In this talk\, we will discuss recent results on the zeros and zero distribution of theta functio ns associated with a lattice\, a special type of modular forms. In particu lar\, we will discuss the zeros of a family of unimodular even lattices th at are closely related to the E_8 lattice. As it turns out\, the zeros in the fundamental domain all lie on the line Re(z)=1/2.\n\nNo prior knowledg e of modular forms will be assumed.\n\nBased on: https://arxiv.org/abs/250 9.06128\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:610@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260122T133000 DTEND;TZID=Asia/Jerusalem:20260122T143000 DTSTAMP:20260120T085824Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-mirror -symmetry-for-open-gromov-witten-invariants-of-fano-manifolds/ SUMMARY:Cable Car Algebra Seminar: Mirror symmetry for open Gromov-Witten i nvariants of Fano manifolds DESCRIPTION:Lecturer:May Sela (HUJI)\n Location:Technion\, Amado Building\, Room 814\n Mirror symmetry is a phenomenon concerning a duality between s ymplectic geometry and algebraic geometry\, asserting that certain geometr ic problems on a symplectic manifold admit equivalent formulations on a re lated space\, called a mirror space. A central class of such problems aris es from counting holomorphic curves with boundary conditions\, leading to invariants known as open Gromov-Witten invariants. Mirror symmetry predict s that these geometric invariants correspond to numerical invariants assoc iated to algebraic objects\, called matrix factorizations\, on the mirror side.\n\nIn this talk\, I will discuss the basic ideas of mirror symmetry in the context of Fano manifolds. I will describe a non-Archimedean framew ork required for defining the numerical invariants and present results con cerning their structure. This is joint work with J. Solomon.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:590@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260122T133000 DTEND;TZID=Asia/Jerusalem:20260122T143000 DTSTAMP:20251224T084807Z URL:https://math.technion.ac.il/en/events/instabilities-in-nanofluid-layer s/ SUMMARY:Instabilities in nanofluid layers DESCRIPTION:Lecturer:Raj Gandhi\n Location:Lady Davis Building\, Auditorium 250\n Advisers: Professor Alexander Oron and Professor Alexander Nepomnya shchy\nAbstract is attached\n\nSeminar-abstract-Raj-Gandhi-220126\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Lady Davis Building\, Auditorium 250 END:VEVENT BEGIN:VEVENT UID:523@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260126T113000 DTEND;TZID=Asia/Jerusalem:20260126T123000 DTSTAMP:20260119T130923Z URL:https://math.technion.ac.il/en/events/counterexamples-in-horocyclic-dy namics/ SUMMARY:Counterexamples in Horocyclic Dynamics DESCRIPTION:Lecturer:Or Landsberg (HUJI)\n Location:Amado 814\n \nThe horoc yclic flow on a finite-area hyperbolic surface is a prototypical example o f dynamical rigidity: all orbit closures and ergodic measures arise from a n algebraic origin. This phenomenon is now understood as part of the broad er theory of unipotent rigidity on finite-volume homogeneous spaces\, foll owing Ratner.\n\n\nSince the 1990s\, infinite horocyclic invariant measure s have been studied by Burger\, Roblin\, Sarig\, Ledrappier\, Lindenstraus s\, and myself\, among others. These works show that a form of rigidity pe rsists in the infinite-measure setting for a wide class of infinite-area h yperbolic surfaces\, suggesting the possibility of universal Ratner-type p henomena beyond finite volume.\nIn this talk\, we present a construction o f geometrically infinite hyperbolic surfaces in which horocycle recurrence can be prescribed with precision. As a consequence\, we obtain the first examples of non-trivial\, non-compact horocyclic minimal sets supporting n ew types of invariant measures that violate infinite-measure rigidity. Fur ther examples include highly irregular horocyclic orbit closures having fr actional Hausdorff dimensions.\nBased on joint work with Francoise Dal'bo\ , James Farre\, and Yair Minsky.\n\n CATEGORIES:Groups, Dynamics and Related Topics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:611@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260126T140000 DTEND;TZID=Asia/Jerusalem:20260126T150000 DTSTAMP:20260125T091401Z URL:https://math.technion.ac.il/en/events/the-correlation-between-germline -variants-and-mutational-signature-activity/ SUMMARY:The Correlation Between Germline Variants and Mutational Signature Activity DESCRIPTION:Lecturer:Alon Ravid\n Location:Biotechnology and food eng. buil ding room 300 \n Investigating the interplay between common germline varia tion and somatic mutational processes is key to understanding cancer etiol ogy. To this end\, we sought to discover germline variants that regulate t he activity of these signatures\, designating them Signature Quantitative Trait Loci (SigQTL). Because individual common variants are expected to ha ve modest effects on mutational processes\, large cohorts are required to detect such associations. While current panel sequencing datasets have a s ufficient sample size\, they also have little information per-sample\, lim iting our ability to identify the originating processes of the somatic mut ations.  We introduce GroupSig\, a method that enables inferring the acti vity of mutational signatures across samples by stratifying them by genoty pes. We apply GroupSig to ~35\,000 tumor samples sequenced using targeted panels. We identified 11 SigQTLs\, of which 5 were validated in an indepen dent cohort. Our findings demonstrate that common germline variation contr ibutes to inter-individual differences in the activity of mutational proce sses. Furthermore\, GroupSig provides a robust framework to systematically analyze features associated with mutational signature activity using pane l sequencing data.\n\nAdvisor: Dr. Yosef Marvuka\n\n \;\n CATEGORIES:Graduation Seminars,Seminars LOCATION:Biotechnology and food eng. building room 300 END:VEVENT BEGIN:VEVENT UID:606@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260127T113000 DTEND;TZID=Asia/Jerusalem:20260127T123000 DTSTAMP:20260117T075722Z URL:https://math.technion.ac.il/en/events/noncommutative-analysis-seminar- suryawanshi/ SUMMARY:Twisted representations of product systems of C*-correspondences: W old decomposition and unitary extensions (Suryawanshi) DESCRIPTION:Lecturer:Mansi Suryawanshi (Technion)\n Location:Amado 814 and zoom\n We investigate Wold-type decompositions and unitary extension probl ems for multivariable isometric covariant representations associated with product systems of C*-correspondences. First\, we establish an operator-t heoretic characterization for the existence of a Wold decomposition for th e k-tuple consisting of isometric covariant representations of a C*-corre spondences. We then introduce twisted and doubly twisted covariant represe ntations of product systems. For doubly twisted isometric representations\ , we prove the existence of a Wold decomposition\, recovering earlier resu lts for doubly commuting representations as special cases. We further obta in explicit descriptions of the resulting Wold summands and develop concre te Fock-type models realizing each component. We present non-trivial examp les of these families. Finally\, we construct unitary extensions via a dir ect-limit procedure. As applications\, we obtain unitary extensions for se veral previously studied classes of operator tuples\, including doubly twi sted\, doubly non-commuting\, and doubly commuting isometries\, and for a special class of doubly twisted representations of a product system.\n htt ps://technion.zoom.us/j/96498034171 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 and zoom END:VEVENT BEGIN:VEVENT UID:606@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260127T113000 DTEND;TZID=Asia/Jerusalem:20260127T123000 DTSTAMP:20260117T075722Z URL:https://math.technion.ac.il/en/events/noncommutative-analysis-seminar- suryawanshi/ SUMMARY:Twisted representations of product systems of C*-correspondences: W old decomposition and unitary extensions (Suryawanshi) DESCRIPTION:Lecturer:Mansi Suryawanshi (Technion)\n Location:Amado 814 and zoom\n We investigate Wold-type decompositions and unitary extension probl ems for multivariable isometric covariant representations associated with product systems of C*-correspondences. First\, we establish an operator-t heoretic characterization for the existence of a Wold decomposition for th e k-tuple consisting of isometric covariant representations of a C*-corre spondences. We then introduce twisted and doubly twisted covariant represe ntations of product systems. For doubly twisted isometric representations\ , we prove the existence of a Wold decomposition\, recovering earlier resu lts for doubly commuting representations as special cases. We further obta in explicit descriptions of the resulting Wold summands and develop concre te Fock-type models realizing each component. We present non-trivial examp les of these families. Finally\, we construct unitary extensions via a dir ect-limit procedure. As applications\, we obtain unitary extensions for se veral previously studied classes of operator tuples\, including doubly twi sted\, doubly non-commuting\, and doubly commuting isometries\, and for a special class of doubly twisted representations of a product system.\n htt ps://technion.zoom.us/j/96498034171 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 and zoom END:VEVENT BEGIN:VEVENT UID:598@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260127T133000 DTEND;TZID=Asia/Jerusalem:20260127T143000 DTSTAMP:20260108T125433Z URL:https://math.technion.ac.il/en/events/eigenvalues-and-approximate-eige nvalues-of-the-biharmonic-operator/ SUMMARY:Eigenvalues and approximate eigenvalues of the biharmonic operator. DESCRIPTION:Lecturer:Matania Ben-Artzi\n Location:Amado 814\n The talk will deal mostly with the biharmonic operator on an interval and the optimal a pproximation of its eigenvalues. \nTo this end a suitable discrete ellipt ic calculus is presented \, allowing the use of classical elliptic results (e.g.\, coercivity).\nThe fact that there is no "algorithm" for the first eigenvalue of the biharmonic operator in a square motivates this work.\n\ nBased in part on a joint work with Guy Katriel\n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:608@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260128T133000 DTEND;TZID=Asia/Jerusalem:20260128T143000 DTSTAMP:20260119T184138Z URL:https://math.technion.ac.il/en/events/measure-estimates-coming-from-co nvergence-in-the-hausdorff-distance/ SUMMARY:Measure estimates coming from convergence in the Hausdorff distance DESCRIPTION:Lecturer:Lior Tenenbaum\n Location:Amado 8th floor lounge\n We examine the relationship between convergence in the Hausdorff distance and convergence of the associated measures. We introduce a method for estimat ing the measure of a compact set that is approximated\, in the Hausdorff d istance sense\, by a sequence of compact sets. This is achieved by conside ring suitable fattenings of the approximating sets and showing that their measures converge.\nWe then review applications of this result to the stud y of operator spectra arising from sequences of periodic approximations\, leading to the construction of spectral covers.\n CATEGORIES:Pizza Seminar,Seminars LOCATION:Amado 8th floor lounge END:VEVENT BEGIN:VEVENT UID:514@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260128T143000 DTEND;TZID=Asia/Jerusalem:20260128T152000 DTSTAMP:20260128T115154Z URL:https://math.technion.ac.il/en/events/orit-raz/ SUMMARY:Orit Raz (BGU) -- Erdős unit distance problem and graph rigidity - - ROOM CHANGE: 619 AMADO! DESCRIPTION:Lecturer:Orit Raz\n Location:619 Amado\n Erdős unit distance p roblem asks the following: Let P be a set of n distinct points in the plan e\, and let U(P) denote the number of pairs of points in P that are at dis tance 1. How large can U(P) be? In 1946\, Erdős showed that for P=[sqrt(n )]x[sqrt(n)]\, one has U(P)=Theta(n^(1+c/loglogn))\, for some constant c&g t\;0\, and he conjectured that this is best possible. While the problem ha s received a lot of attention\, the best upper bound\, established by Spen cer\, Szemerédi\, and Trotter in 1984\, is U(P)=O(n^(4/3))\, with no prog ress in the last 40 years. One reason for the difficulty of the problem is that the current combinatorial geometry tools\, dealing with properties o f unit circles\, actually apply to more general families of curves. For th e latter families\, the upper bound of O(n^(4/3)) is\, in fact\, tight.\n\ n\n\nIn the talk\, I will introduce a new approach to the unit distance pr oblem\, relating the problem to a question in graph rigidity theory. Speci fically\, I will present a new structure theorem\, which applies to point configurations with many unit distances\, and pose a new conjecture regard ing rigid subgraphs. I will then explain how a solution of the rigidity co njecture\, would\, for the first time\, yield an improvement of the aforem entioned upper bound for the unit distance problem. If time permits\, I wi ll explain how to prove a weaker version of the rigidity conjecture\, by r educing the problem to a line-line incidence question in R^3.\n\n\n\nThe t alk is based on a joint work with J. Pach and J. Solymosi.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:619 Amado END:VEVENT BEGIN:VEVENT UID:612@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260203T113000 DTEND;TZID=Asia/Jerusalem:20260203T123000 DTSTAMP:20260121T152811Z URL:https://math.technion.ac.il/en/events/a-joint-spectral-radius-for-tupl es-of-operators/ SUMMARY:A joint spectral radius for tuples of operators DESCRIPTION:Lecturer:Orr Shalit (Technion)\n Location:Amado 814 and zoom\n The study of algebras of bounded noncommutative analytic functions on subv arieties of noncommutative unit balls has led us to associate a spectral r adius function with every finite-dimensional operator space E. Concretely\ , given a d-tuple of operators\, the spectral radius is defined via a cert ain tensor power limit formula\, which reduces to Gelfand’s spectral rad ius formula when E is one-dimensional. When E is the row operator space\, for example\, then our spectral radius coincides with the joint spectral r adius studied by Bunce\, Popescu and others. For every operator space E\, the value of the spectral radius associated to E on given a tuple is stric tly smaller than 1 if and only if the tuple is jointly similar to a tuple that lies in the open noncommutative unit ball corresponding to E. In this talk\, based on joint work with Eli Shamovich\, I will explain why we wer e led to this notion\, present some examples\, and describe possible appli cations. Finally\, I will discuss recent progress on the case of commuting tuples\, where several alternative notions of joint spectrum coincide\, a nd pose some open problems in the noncommutative case.\n https://technion. zoom.us/j/96498034171 CATEGORIES:Noncommutative Analysis Seminar,Seminars LOCATION:Amado 814 and zoom END:VEVENT BEGIN:VEVENT UID:615@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260204T103000 DTEND;TZID=Asia/Jerusalem:20260204T123000 DTSTAMP:20260128T080340Z URL:https://math.technion.ac.il/en/events/dense-sphere-packings-survey-and -algebraic-geometry-constructions/ SUMMARY:Dense sphere packings. Survey and algebraic geometry constructions. DESCRIPTION:Lecturer:Michael A. Tsfasman (Higher school of Modern Mathemati cs\, MITP\, Moscow)\n Location:Room 719\, Amado Mathematics Building\n Abs tract.\n\nI like the problem of dense packing of equal balls in the n-dime nsional Euclidean space because of the abundance of mathematical disciplin es connected to it.\n\nIn the first half of the talk\, I plan to give a su rvey of the modern state of the art\, starting from small n and going upwa rds.\n\nIn the second part I’ll show how algebraic geometry and number t heory give us constructions of dense packings in large dimensions\, focusi ng on the parallelism between number fields and curves over finite fields. \n CATEGORIES:Algebra Seminar,Seminars LOCATION:Room 719\, Amado Mathematics Building END:VEVENT BEGIN:VEVENT UID:613@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260211T143000 DTEND;TZID=Asia/Jerusalem:20260211T152000 DTSTAMP:20260121T221708Z URL:https://math.technion.ac.il/en/events/amir-yehudayoff/ SUMMARY:Amir Yehudayoff -- ReLU networks and polytopes DESCRIPTION:Lecturer:Amir Yehudayoff\n Location:814 Amado\n ReLU networks a re a standard example of neural networks. We shall discuss the expressivit y of neural networks with a focus on their depth. The plan is to start wit h a general introduction and a survey of basic results\, including the dua lity between ReLU networks and a model for constructing polytopes. We shal l then discuss polytopes and see how their properties can help to understa nd the depth of neural networks.\n\nBased on joint works with Bakaev\, Bru nck\, Hertrich and Stade.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:617@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260212T113000 DTEND;TZID=Asia/Jerusalem:20260212T123000 DTSTAMP:20260208T190153Z URL:https://math.technion.ac.il/en/events/using-erdoss-methods-to-study-yo rkes-problems/ SUMMARY:Using Erdős's methods to study Yorke's problems DESCRIPTION:Lecturer:Eran Egra\n Location:Amado 919\n Consider a smooth iso topy $f_t:M\\to M$\, where $M$ is some smooth closed manifold of dimension $d>\;1$\, and $t\\in[0\,1]$. Assuming the dynamics of $f_0$ are “simp le” and those of $f_1$ are "chaotic"\, can we say what is the likelihood of the bifurcation diagram of $f_0$ having a certain pattern? As proven b y Masato Tsujii\, probablistically\, the answer is No. Specifically\, we k now it is impossible to define a "good" probability meeasure on the space of smooth functions which "sees" the size of generic families of maps simi larly to how the Lebesgue measure "sees" the size of a bounded set. That b eing said\, is there some other meaningful way to measure the size of diff erent routes to chaos?\n\n In this talk we will show how Poincare's heuris tic that periodic orbits are the "skeleton" of dynamical system can be use d to tackle this problem. In detail\, combining the ideas of J. A. Yorke\, J. Mallet Paret and K. Alligood with elementary Graph Theory we will give a partial answer to this question by a counting argument. As we will prov e\, the answer strongly depends on the dimension of the manifold $M$. Spec ifically\, we will show that when the dimension is high (i.e. $d>\;3$) t here are infinitely many routes to chaos\, all of which are\, in some sens e\, equally likely. Conversely\, we will prove the answer to the same ques tion in low dimensions (i.e.\, $d=2\,3$) reduces to the following two ques tions:\n\n1. How many bifurcation diagrams for three-dimensional isotopies can be realized along a surface isotopy?\n2. How many bifurcation diagram s for two-dimensional isotopies can be realized along a homotopy of interv al maps?\n\nTime permitting\, inspired by the ideas of Bo Deng\, we will c onjecture how these methods could be further developed\, possibly to deriv e a universal bifurcation theory via the Rado graph. This talk is based on a joint project with Valerii Sopin from the SIMIS.\n\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:618@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260222T143000 DTEND;TZID=Asia/Jerusalem:20260222T153000 DTSTAMP:20260212T132623Z URL:https://math.technion.ac.il/en/events/efficient-douglas-rachford-metho ds-on-hadamard-manifolds-with-applications-to-the-heron-problems/ SUMMARY:Efficient Douglas-Rachford Methods on Hadamard Manifolds with Appli cations to the Heron Problems DESCRIPTION:Lecturer:Shikher Sharma (Technion)\n Location:Room 814\, Amado Mathematics Building\n Abstract\nOur interest lies in developing some effi cient methods for minimizing the sum of two\ngeodesically convex functions on Hadamard manifolds\, with the aim of improving the\nconvergence of the Douglas-Rachford algorithm in Hadamard manifolds. Specifically\, we propo se two types of algorithms: inertial and non-inertial algorithms. The conv ergence\nanalysis of both algorithms is provided under suitable assumption s on algorithmic parameters and the geodesic convexity of the objective fu nctions. This convergence analysis is based on fixed-point theory for none xpansive operators. We also study the convergence rates of these two metho ds.\nAdditionally\, we introduce parallel Douglas-Rachford type algorithms for minimizing functionals containing multiple summands with applications to the generalized Heron problem on Hadamard manifolds. To demonstrate th e effectiveness of the proposed algorithms\, we present some numerical exp eriments for the generalized Heron problems.\nKeywords. Inertial methods\, Douglas-Rachford methods\, Fixed point methods\, Minimization problems\, Generalized Heron problems\n CATEGORIES:Nonlinear Analysis and Optimization Seminar,Seminars LOCATION:Room 814\, Amado Mathematics Building END:VEVENT BEGIN:VEVENT UID:621@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260326T110000 DTEND;TZID=Asia/Jerusalem:20260326T120000 DTSTAMP:20260322T125511Z URL:https://math.technion.ac.il/en/events/investigating-the-impact-of-immu ne-boosting-on-epidemiological-outcomes-and-control/ SUMMARY:Investigating the Impact of Immune Boosting on Epidemiological Outc omes and Control DESCRIPTION:Lecturer:Zohar Rom \n Location:zoom\n Mathematical models are e ssential for shaping vaccination strategies\, but traditional SIR framewor ks often oversimplify vaccine-induced immunity as a static value. In reali ty\, an individual's immune state is dynamically shaped by their unique hi story of pathogen exposures. Crucially\, silent exposures to a pathogen ca n lead to "immune boosting\," reinforcing immunity without causing symptom atic infection. Because a primed immune system responds to lower antigen d oses\, even these sub-clinical exposures trigger this effect. While the bi ological mechanisms of immune boosting are well-documented\, and recent p ertussis studies highlight its significance\, its broader epidemiological consequences remain largely unexplored. Therefore\, this work focuses on e valuating the population-level impact of immune boosting on overall vaccin e effectiveness.\n\nIn this work\, we employ analytical and numerical meth ods to explore the impact of immune boosting on population-level vaccine e ffectiveness (VE). Our results demonstrate that immune boosting significan tly alters epidemic outcomes\, revealing dynamics that diverge from classi cal expectations. We find that in regimes with weak or no boosting\, VE in creases with vaccine coverage due to standard indirect protection. However \, we identify a critical threshold where VE remains constant regardless o f coverage. Most notably\, under strong boosting conditions\, a paradoxica l crossover occurs where increased vaccine coverage actually reduces vacci ne effectiveness. Furthermore\, under high transmission rates\, population -level VE becomes entirely independent of coverage. We elucidate these cou nterintuitive findings by disentangling the direct and indirect effects of vaccination and utilizing an approximation model that isolates the role o f multiple exposures in maintaining vaccine protection.\n\nAdvisor: Prof. Nir Gavish\n https://technion.zoom.us/j/96572097402 CATEGORIES:Graduation Seminars,Seminars LOCATION:zoom END:VEVENT BEGIN:VEVENT UID:622@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260330T133000 DTEND;TZID=Asia/Jerusalem:20260330T143000 DTSTAMP:20260326T171852Z URL:https://math.technion.ac.il/en/events/mullins-nonlinear-grooving-solut ions/ SUMMARY:Mullins’ nonlinear grooving solutions DESCRIPTION:Lecturer:Rawan Tarabeh\n Location:zoom\n The problem of thermal grooving was first proposed by Mullins in 1957. Mullins\nconsidered the m orphological evolution of thin solid surfaces\, namely solid films\,\nand focused primarily on the exterior surface motion with surface diffusion as the\ndominant mass transport process. By assuming a small slope approxima tion\, the\nproblem can be reduced to a linear surface diffusion problem. Mullins showed\nthat there exist self-similar solutions for the linearized problem. In the present\nstudy\, we prove the existence and uniqueness of a self-similar solution for the\noriginal nonlinear Mullins’ problem fo r sufficiently small values of the contact\nangle β. We do so by studying a reduced linear ODE system\, which allows us\nto understand the asymptot ic behavior of the solutions for the corresponding\nlinear homogeneous ope rator\, and then we prove existence of a unique solution\nto the nonlinear problem in closed form by iterations in an appropriate Banach\nspace.\nAd visor: Prof. Amy Novick-Cohen\n\n \;\n\n \;\n https://technion.zoo m.us/j/98140816947 CATEGORIES:Graduation Seminars,PDE and Applied Mathematics,Seminars LOCATION:zoom END:VEVENT BEGIN:VEVENT UID:625@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260330T153000 DTEND;TZID=Asia/Jerusalem:20260330T163000 DTSTAMP:20260329T053638Z URL:https://math.technion.ac.il/en/events/bicycling-geodesics-elastic-curv es-and-the-filament-equation/ SUMMARY:Bicycling geodesics\, elastic curves\, and the filament equation DESCRIPTION:Lecturer:Serge Tabachnikov (Penn State University)\n Location:Z oom\n Abstract: Bicycle is modeled as a directed segment of a fixed length that can move so that the velocity of the rear end is always aligned with the segment. A bicycle path is a motion of the segment\, subject to this nonholonomic constraint\, and the length of the path\, by definition\, is the length of the front track. This defines a problem of sub-Riemannian ge ometry\, and one wants to describe the respective geodesics. I shall discu s three variations on this theme: the planar bicycle motion\, the bicycle motion in multidimensional Euclidean space\, and the planar motion of a 2- linkage (a tricycle?) Somewhat unexpectedly\, these problems are closely r elated with the filament equation\, a completely integrable system of soli ton type\, whose soliton curves appear as the sub-Riemannian geodesics\n h ttps://technion.zoom.us/j/96030877808 CATEGORIES:Colloquium,Seminars LOCATION:Zoom END:VEVENT BEGIN:VEVENT UID:587@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260331T133000 DTEND;TZID=Asia/Jerusalem:20260331T143000 DTSTAMP:20251221T074258Z URL:https://math.technion.ac.il/en/events/the-willmore-energy-and-curvatur e-concentration/ SUMMARY:The Willmore energy and curvature concentration DESCRIPTION:Lecturer: David Padilla-garza \n Location:Amado 814\n We study isometric immersions of a two-dimensional Riemannian surface into three-di mensional Euclidean space. We consider their bending energy\,  i.e.\, the square-integral of their second fundamental form\, which is equivalent to the Willmore functional. We obtain two new lower bounds for this energy\, one in terms of the Gaussian curvature of the surface\, and the other in terms of a Burgers vector---a measure of non-flatness connected to torsion . These new estimates provide optimal blowup rates of the energy when the curvature is concentrated (e.g.\, in a conical geometry). In the more subt le case of dipoles of concentrated curvature\,  we use the Burgers vector estimates to obtain an optimal blowup rate in terms of the size of the sy stem. Our motivation comes from non-Euclidean elasticity\, in which cones and curvature-dipoles play a central role. The lower bounds derived in thi s work directly yield lower bounds for the elastic energy of thin elastic sheets. The derivation of the curvature-based lower bound involves an isop erimetric inequality for framed loops\, which we believe to be of independ ent interest.\n\n \;\n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:626@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260415T133000 DTEND;TZID=Asia/Jerusalem:20260415T143000 DTSTAMP:20260331T113542Z URL:https://math.technion.ac.il/en/events/collective-variable-guided-engin eering-of-the-free-energy-surface-of-a-small-peptide/ SUMMARY:Collective Variable-Guided Engineering of the Free-Energy Surface o f a Small Peptide DESCRIPTION:Lecturer:\n Location:\n Engineering the free-energy surfaces (F ES) of proteins and peptides is central to controlling conformational ense mbles and their responses to perturbations. However\, predicting how chemi cal modifications such as point mutations reshape the FES and shift confor mational equilibria remains challenging\, particularly in data-scarce sett ings. Building on the Collective Variables for Free Energy Surface Tailori ng (CV-FEST) framework\, we develop a computational approach that leverage s short\, unbiased molecular dynamics trajectories to guide mutation analy sis. Using the ten-residue β - hairpin CLN025 and a systematic library of its single-point mutants\, we apply Harmonic Linear Discriminant Analysis (HLDA) to extract collective variables from the conformational data. We f ind that the HLDA eigenvector learned solely from short wild-type trajecto ries provides residue-level insight into the propensity of mutations at sp ecific positions to thermodynamically stabilize or destabilize the folded state. Extending this analysis\, we show that shifts in the leading HLDA e igenvalue across mutants\, a measure of changes in separability between th e conformational ensembles along the HLDA coordinate\, correlate strongly with mutation-induced changes in the free-energy difference between states \, as reflected in melting temperatures. Benchmarked against Replica Excha nge Molecular Dynamics simulations\, these findings suggest a promising an d computationally affordable route toward guiding the engineering of biomo lecular free-energy landscapes.\nAdvisor: Prof. Dan Mendels\nDepartment of Chemical Engineering\, Technion-Israel Institute for Technology\n https:/ /technion.zoom.us/j/92278627599 CATEGORIES:Graduation Seminars,Seminars END:VEVENT BEGIN:VEVENT UID:623@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260415T143000 DTEND;TZID=Asia/Jerusalem:20260415T152000 DTSTAMP:20260413T193623Z URL:https://math.technion.ac.il/en/events/dmitrii-kolupaev/ SUMMARY:Dmitrii Kolupaev (Technion) -- Patterns in Random Chord Diagrams (Z OOM) DESCRIPTION:Lecturer:Dmitrii Kolupaev\n Location:https://technion.zoom.us/j /96651491256\n A chord diagram is a perfect matching on 2n points arranged on a circle\, equivalently a partition of {1\,...\,2n} into n two-element chords. Suppose a chord diagram of size n is chosen uniformly at random f rom the (2n-1)!! possibilities. Any subset of k chords induces one of (2k- 1)!! possible patterns\, and we study the joint distribution of the number of occurrences of each pattern for large n.\n\n\n\nWe show that this vect or of pattern counts exhibits diverse scaling behaviors with n in differen t directions\, and we characterize the corresponding subspaces of differen t orders of magnitude\, using tools from the representation theory of the symmetric group and algebras of words. To leading order\, the distribution of pattern counts is multivariate normal and supported on a k(2k-3)-dimen sional subspace. We explicitly describe and diagonalize its covariance mat rix for every k. We also relate this spectral decomposition to the spectru m of a dynamical process on k-chord diagrams in which\, at each step\, one endpoint of a chord is relocated to a uniformly random position.\n\n\n\nM Sc advisor: Chaim Even-Zohar\n https://technion.zoom.us/j/96651491256 CATEGORIES:Combinatorics Seminar,Graduation Seminars,Seminars LOCATION:https://technion.zoom.us/j/96651491256 END:VEVENT BEGIN:VEVENT UID:619@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260415T153000 DTEND;TZID=Asia/Jerusalem:20260415T162000 DTSTAMP:20260326T212134Z URL:https://math.technion.ac.il/en/events/noam-krupnik/ SUMMARY:Noam Krupnik (Technion) -- On Spectral Graph Determination and Tran sitivity of Gilbert Graphs DESCRIPTION:Lecturer:Noam Krupnik \n Location:\n The study of spectral grap h determination is a central and fascinating topic in spectral graph theor y and algebraic combinatorics.\nThis area investigates the spectral charac terization of various classes of graphs\, develops methods for constructin g and distinguishing cospectral nonisomorphic graphs\, and analyzes the co nditions under which the spectrum of a graph uniquely determines its struc ture.\nIn the first part of the seminar\, we present both classical result s and recent advances in spectral graph determination.\n\n\n\n\nThe study of graph symmetries and different notions of transitivity is also of funda mental interest in algebraic graph theory. In the second part of the talk\ , we examine transitivity properties of Gilbert graphs and their complemen ts\, and discuss the main ideas underlying these results.\n\n\n\n\n\n\n\nM Sc advisors: Avi Berman\, Igal Sason\n\n\n https://technion.zoom.us/j/2158 319819 CATEGORIES:Combinatorics Seminar,Graduation Seminars,Seminars END:VEVENT BEGIN:VEVENT UID:629@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260428T113000 DTEND;TZID=Asia/Jerusalem:20260428T123000 DTSTAMP:20260426T072947Z URL:https://math.technion.ac.il/en/events/the-beauty-and-mystery-of-total- variation/ SUMMARY:The beauty and mystery of total variation DESCRIPTION:Lecturer:Aryeh Kontorovich (BGU)\n Location:Meyer building (roo m 861)\n The variational distance between probability distributions is\, i n some natural sense\, the canonical one. Its central importance is readil y evident in probability\, statistics\, privacy\, and algorithms.\nUnfortu nately\, it is an analytically unwieldy object\, and in particular\, is st rongly computationally intractable\, even for products of Bernoullis. This talk\, after providing the necessary background\, will discuss a series o f approaches to obtaining analytically tractable estimates on the total va riation distance between product distributions. Some elegant mathematical surprises are promised.\n CATEGORIES:Probability Seminar,Seminars LOCATION:Meyer building (room 861) END:VEVENT BEGIN:VEVENT UID:624@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260429T143000 DTEND;TZID=Asia/Jerusalem:20260429T152000 DTSTAMP:20260329T183708Z URL:https://math.technion.ac.il/en/events/attila-joo-2/ SUMMARY:Attila Joó (University of Hamburg\, Technion) -- Milner-Shelah tra nsversal theorem revisited DESCRIPTION:Lecturer:Attila Joó \n Location:814 Amado\n The Milner-Shelah transversal theorem states\, that if G=(A\,B\,E) is a (possibly infinite) bipartite graph such that there is no isolated vertex in A and for every e dge {a\,b} in E with a in A and b in B\, d(a) >\;= d(b)\, then G admits a matching covering A. We provide a new proof of this theorem with a sligh t strengthening for finite graphs. (Joint work with Ron Aharoni)\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:627@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260430T123000 DTEND;TZID=Asia/Jerusalem:20260430T133000 DTSTAMP:20260426T061642Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-fundam ents-of-epimorphisms-of-profinite-groups/ SUMMARY:Cable Car Algebra Seminar: Fundaments of epimorphisms of profinite groups DESCRIPTION:Lecturer:Dan Haran (TAU)\n Location:Technion\, Amado Building\, Room 814\n We propose a theory that characterizes epimorphisms of profini te groups in terms of indecomposable epimorphisms.\n\n \;\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:628@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260430T133000 DTEND;TZID=Asia/Jerusalem:20260430T143000 DTSTAMP:20260426T061834Z URL:https://math.technion.ac.il/en/events/cable-car-algebra-seminar-as-hyp erbolic-as-they-comm/ SUMMARY:Cable Car Algebra Seminar: As hyperbolic as they Comm DESCRIPTION:Lecturer:Nir Lazarovich (Technion)\n Location:Technion\, Amado Building\, Room 814\n An abstract commensurator of a group is an isomorphi sm between two of its finite index subgroups. In this talk I will survey s ome results and conjectures about commensurators of Gromov hyperbolic grou ps.\nBased on joint works (some in progress) with Alex Margolis\, Suraj Kr ishna Meda Satish\, Mahan Mj.\, Gon Rahamim and Alessandro Sisto.\n CATEGORIES:Algebra Seminar,Seminars LOCATION:Technion\, Amado Building\, Room 814 END:VEVENT BEGIN:VEVENT UID:630@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260504T153000 DTEND;TZID=Asia/Jerusalem:20260504T163000 DTSTAMP:20260430T053825Z URL:https://math.technion.ac.il/en/events/recent-advances-concerning-the-n avier-stokes-and-euler-equations/ SUMMARY:"Recent Advances Concerning the Navier-Stokes and Euler Equations . " DESCRIPTION:Lecturer:Edriss Titi\, University of Cambridge\, Texas A&\;M University (Emeritus)\, and The Weizmann Institute of Science (Emeritus)\ n Location:Amado 232\n Abstract:  In this talk we will discuss some rece nt progress concerning the Navier-Stokes and Euler equations of incompress ible fluid. In particular\, issues concerning the lack of uniqueness using the convex integration machinery and their physical relevance. Moreover\, we will show the universality of the critical 1/3 Hölder exponent\, conj ectured by Onsager for the preservation of energy in Euler equations\, by extending the Onsager conjecture for the preservation of generalized entro py in general conservation laws. In addition\, we will present a blow-up c riterion for the 3D Euler equations based on a class of inviscid regulariz ation for these equations and the effect of physical boundaries on the pot ential formation of singularity.\n CATEGORIES:Colloquium,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:643@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260511T170000 DTEND;TZID=Asia/Jerusalem:20260511T183000 DTSTAMP:20260507T082036Z URL:https://math.technion.ac.il/en/events/on-stationary-measure-rigidity-a nd-orbit-closures-for-actions-of-non-abelian-groups/ SUMMARY:"On stationary measure rigidity and orbit closures for actions of n on-abelian groups." DESCRIPTION:Lecturer:Alex Eskin\n Location:Sego 1\n \n\n \;\n\n\n\n\n\n \n\n\nAbstract: I will describe joint work in progress with Aaron Brown\, Federico Rodriguez-Hertz and Simion Filip. Our aim is to find some analog ue\, in the context of smooth dynamics\, of Ratner's theorems on unipotent flows. This would be a (partial) generalization of the results of Benoist -Quint and my work with Elon Lindenstrauss in the homogeneous setting\, th e results of Brown and Rodriguez-Hertz in dimension 2\, and my results wit h Maryam Mirzakhani in the setting of Teichmuller dynamics.\n\n\n\n\n\n\n CATEGORIES:Netanyahu Memorial Lecture,Seminars LOCATION:Sego 1 END:VEVENT BEGIN:VEVENT UID:647@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260512T153000 DTEND;TZID=Asia/Jerusalem:20260512T170000 DTSTAMP:20260510T110653Z URL:https://math.technion.ac.il/en/events/classification-and-branching-law -of-representations-of-p-adic-gln/ SUMMARY:Classification and branching law of representations of p-adic GLn DESCRIPTION:Lecturer:Basudev Pattanayak\n Location:Amado 919\n \n CATEGORIES:Representation Theory Learning Seminar,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:642@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260513T123000 DTEND;TZID=Asia/Jerusalem:20260513T133000 DTSTAMP:20260506T055558Z URL:https://math.technion.ac.il/en/events/amigo-computational-design-of-am igurumi-crochet-patterns/ SUMMARY:AmiGo: Computational Design of Amigurumi Crochet Patterns DESCRIPTION:Lecturer:Mirela Ben-Chen\n Location:Amado 232\n We will describ e AmiGo\, an approach for generating crochet instructions (patterns) from an input 3D model. We focus on Amigurumi\, which are knitted stuffed toys. Given a closed triangle mesh\, and a single point specified by the user\ , we generate crochet instructions\, which when knitted and stuffed resul t in a toy similar to the input geometry. Our approach relies on construct ing the geometry and connectivity of a Crochet Graph\, based on the geodes ic distances from the seed point\, which is then translated into a crochet pattern. Using the topological structure of the geodesic distance functio n\, we segment the shape automatically into chrochetable components\, whic h are connected using the join-as-you-go method. We relate the shapes' cur vature functions to crochetability\, show how non-crochetable shapes can b e fixed\, and demonstrate the applicability of our method to a large varie ty of shapes and geometries. We will additionally discuss ongoing research directions and future work.\nThe talk will be in Hebrew.\n CATEGORIES:Math Club,Seminars LOCATION:Amado 232 END:VEVENT BEGIN:VEVENT UID:631@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260513T143000 DTEND;TZID=Asia/Jerusalem:20260513T152000 DTSTAMP:20260505T135359Z URL:https://math.technion.ac.il/en/events/erez-nesharim/ SUMMARY:Erez Nesharim (Technion) -- Diophantine approximation of morphic La urent series DESCRIPTION:Lecturer:Erez Nesharim\n Location:814 Amado\n The function fiel d analogue of Diophantine approximation studies approximations of Laurent series by rational functions. This problem is tightly connected to determi nants of Hankel matrices\, which are matrices whose rows are shifts of a f ixed sequence. I will focus on the case of morphic sequences\, which are s equences formed by repeating a fixed substitution rule. The discussion wil l be guided by examples such as the characteristic function of the set of powers of 2\, the Fibonacci word\, the regular-paperfolding sequence\, and the Thue-Morse sequence.\n\n \;\n\n \;\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:645@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260518T113000 DTEND;TZID=Asia/Jerusalem:20260518T123000 DTSTAMP:20260510T071249Z URL:https://math.technion.ac.il/en/events/effective-growth-of-injectivity- radii-2/ SUMMARY:Effective growth of injectivity radii DESCRIPTION:Lecturer:Yuval Yifrach (University of Zurich)\n Location:Amado 919\n Frączyk-Gelander proved in 2024 that arbitrarily large balls can be embedded into any higher rank infinite volume symmetric space.\nIn a rece nt work with Ilya Gektman\, Simon Machado and Omri Solan we quantify their result\, giving an explicit growth rate for the maximal injectivity radiu s.\nMore precisely\, let G be a higher rank simple Lie group and let \\Gam ma<\;G be a discrete non-lattice subgroup.\nThen for some c=c(Gamma) and for every R>\;0\, there is some g\\in G_{clog log log(R)} (the ball of radius log log log R in the Riemannian metric) such that a ball of radius R can be injected into G/\\Gamma centered at g\\Gamma.\nAlong the way we g ive a new simpler proof of the Stuck-Zimmer theorem which doesn’t use th e intermediate factor theorem and in addition yields a quantitative versio n of the Stuck-Zimmer theorem.\nOur methods invoke the novel concepts of a lmost stationary and almost invariant measures and a corresponding new qua ntitative version of the celebrated Nevo-Zimmer Structure Theorem for high er rank stationary actions.\nIn addition\, we analyze almost invariant mea sures on G/\\Gamma using a new characterization of lattices which says\, r oughly\, that if G/\\Gamma supports an almost invariant measure then \\Gam ma is a lattice. This analysis uses the work of Bader\, Furman\, Gelander and Monod about property (T) for actions on Banach spaces.\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:646@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260520T133000 DTEND;TZID=Asia/Jerusalem:20260520T143000 DTSTAMP:20260510T083816Z URL:https://math.technion.ac.il/en/events/zariski-pairs-in-low-degree-coni c-line-arrangements/ SUMMARY:Zariski Pairs in Low-Degree Conic-Line Arrangements DESCRIPTION:Lecturer:Gal Goren\n Location:\n Abstract:\nWe discuss recent r esults concerning the existence and non-existence of Zariski pairs in arra ngements consisting of one conic and a small number of lines in the comple x projective plane.\nThe talk presents combinatorial and topological metho ds for studying such arrangements\, with emphasis on realization spaces an d structural restrictions arising in low degrees. In addition\, we describ e a systematic approach to generating and analyzing candidate arrangements that may be applied more broadly in future investigations.\n CATEGORIES:Pizza Seminar,Seminars END:VEVENT BEGIN:VEVENT UID:632@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260520T143000 DTEND;TZID=Asia/Jerusalem:20260520T152000 DTSTAMP:20260517T155258Z URL:https://math.technion.ac.il/en/events/yuval-filmus-3/ SUMMARY:Yuval Filmus (Technion) -- [Quantitative] impossibility theorems ma de easy DESCRIPTION:Lecturer:Yuval Filmus\n Location:814 Amado\n Arrow’s impossib ility theorem considers elections involving at least three candidates. Eac h voter ranks all candidates\, and the votes are aggregated on a (candidat e-)pairwise basis. Arrow showed that under the mild condition of unanimit y\, the only valid aggregation rules are dictatorships. Kalai showed that even if validity only holds with probability close to 1\, the aggregation rule has to be close to a dictatorship.\n\n\n\nWe describe a novel framew ork for proving such results\, and use it to prove two results on classifi cation aggregation. No knowledge of social choice theory or judgment aggre gation will be required to follow the talk.\n\n\n\nPartially based on join t work with Yaroslav Alekseev.\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:633@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260527T143000 DTEND;TZID=Asia/Jerusalem:20260527T152000 DTSTAMP:20260505T135643Z URL:https://math.technion.ac.il/en/events/tba-34/ SUMMARY:Combinatorics Seminar -- TBA DESCRIPTION:Lecturer:\n Location:814 Amado\n \n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:634@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260603T143000 DTEND;TZID=Asia/Jerusalem:20260603T152000 DTSTAMP:20260505T135721Z URL:https://math.technion.ac.il/en/events/tba-35/ SUMMARY:Combinatorics Seminar -- TBA DESCRIPTION:Lecturer:\n Location:814 Amado\n \n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:620@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260609T133000 DTEND;TZID=Asia/Jerusalem:20260609T143000 DTSTAMP:20260420T064838Z URL:https://math.technion.ac.il/en/events/numerical-solvers-for-wave-propa gation-problems-reduction-based-multigrid-methods/ SUMMARY:Numerical solvers for wave propagation problems: reduction-based mu ltigrid methods DESCRIPTION:Lecturer:Rachel Yovel\n Location:Amado 814\n The Helmholtz equa tions are the frequency-domain wave equations. Both the acoustic and the e lastic versions of this equation are challenging numerically: the resultin g linear system is indefinite\, which leads to failure of many iterative s olvers due to the oscillatory nature of the solutions. In some application s\, such as inverse problems and underground imaging\, the elastic version is needed. The elastic Helmholtz operator is known as harder to solve and fewer solvers address it. We show that\, in fact\, the difficulty in solv ing the elastic Helmholtz equation stems from the acoustic one.\nWe develo p a reduction-based approximate-commutator preconditioner for the elastic Helmholtz equation. By utilizing the commutation relations of the underlyi ng continuous differential operators\, we suggest a block-triangular preco nditioner whose diagonal blocks are acoustic operators. Thus\, we enable t he solution of the elastic version using virtually any existing solver for the acoustic version. We prove a sufficient condition for the convergence of our method\, exploring the spectral behavior of the underlying operato rs.  We show that the resulting reduction achieves wavenumber independent convergence. However\, solving the acoustic Helmholtz equation efficientl y is necessary for efficient application of this reduction. Standard multi grid methods fail to converge for high frequency Helmholtz problems\, and the performance of related preconditioners strongly depends on the wavenum ber. Using novel symbol analysis aimed at minimizing numerical dispersion\ , we develop a multigrid method for the acoustic Helmholtz equation\, whic h achieves wavenumber independent convergence\, even in the high-frequency regime. Overall\, our methods form fast and scalable solvers for high-fre quency waves in highly heterogeneous media in 2D and in 3D.\n\nThe results presented in this lecture were obtained during the phd thesis of the spea ker\, under the supervision of Eran Treister\n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:Amado 814 END:VEVENT BEGIN:VEVENT UID:635@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260610T143000 DTEND;TZID=Asia/Jerusalem:20260610T152000 DTSTAMP:20260507T115714Z URL:https://math.technion.ac.il/en/events/eyal-ackerman/ SUMMARY:Eyal Ackerman (Haifa) -- Tangencies Among Planar Curves DESCRIPTION:Lecturer:Eyal Ackerman\n Location:814 Amado\n What is the maxim um possible number of tangencies among n planar curves as a function of  n?\n\nWe will consider several restrictions under which this number beco mes sub-quadratic\, and in some cases even linear.\n\nIn particular\, we w ill discuss tangencies among (pairwise intersecting) x-monotone curves\, p seudo-segments\, and pseudo-circles.\n\n \;\n\n \;\n\n \;\n\n& nbsp\;\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:650@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260616T133000 DTEND;TZID=Asia/Jerusalem:20260616T143000 DTSTAMP:20260514T100518Z URL:https://math.technion.ac.il/en/events/oscillations-in-strongly-2-coope rative-systems-and-their-applications-in-systems-biology/ SUMMARY:Oscillations in strongly 2-cooperative systems and their applicatio ns in systems biology DESCRIPTION:Lecturer:Ram Kats\n Location:amado 814\n The emergence of susta ined oscillations (via convergence to periodic orbits) in high-dimensional nonlinear dynamical systems is a highly non-trivial question with importa nt applications in systems biology\, including the understanding of bio-mo lecular oscillators ruling cell life-cycle and metabolism\, as well as cir cadian rhythms in hormone secretion\, body temperature and metabolic funct ions. In systems biology\, the mechanism underlying such widespread oscill atory biological motifs is still not fully understood. From a mathematical perspective\, the study of sustained oscillations is comprised of two par ts: (i) showing that at least one periodic orbit exists and (ii) studying the stability of periodic orbits and/or characterising the initial conditi ons which yield solutions that converge to periodic trajectories. In this talk we will focus on a specific class of nonlinear dynamical systems that are strongly 2-cooperative. Employing results from the theory of cones of rank k\, the spectral theory of totally positive matrices and Perron-Frob enius theory\, we will show that strongly 2-cooperative systems admit an e xplicit set of initial conditions of positive measure\, such that every so lution emanating from this set converges to a periodic orbit. We will furt her demonstrate our results using the n-dimensional Goodwin oscillator and a 4-dimensional biological oscillator based on RNA–mediated regulation. \n CATEGORIES:PDE and Applied Mathematics,Seminars LOCATION:amado 814 END:VEVENT BEGIN:VEVENT UID:636@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260617T143000 DTEND;TZID=Asia/Jerusalem:20260617T152000 DTSTAMP:20260505T135835Z URL:https://math.technion.ac.il/en/events/combinatorics-seminar-tba-2/ SUMMARY:Combinatorics Seminar -- TBA DESCRIPTION:Lecturer:\n Location:814 Amado\n \n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:637@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260624T143000 DTEND;TZID=Asia/Jerusalem:20260624T152000 DTSTAMP:20260505T135857Z URL:https://math.technion.ac.il/en/events/combinatorics-seminar-tba-3/ SUMMARY:Combinatorics Seminar -- TBA DESCRIPTION:Lecturer:\n Location:814 Amado\n \n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:638@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260701T143000 DTEND;TZID=Asia/Jerusalem:20260701T152000 DTSTAMP:20260505T135920Z URL:https://math.technion.ac.il/en/events/combinatorics-seminar-tba-4/ SUMMARY:Combinatorics Seminar -- TBA DESCRIPTION:Lecturer:\n Location:814 Amado\n \n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:649@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260702T113000 DTEND;TZID=Asia/Jerusalem:20260702T123000 DTSTAMP:20260512T121248Z URL:https://math.technion.ac.il/en/events/tba-41/ SUMMARY:TBA DESCRIPTION:Lecturer:Noam Ta-Shma (TAU)\n Location:Amado 919\n TBA\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:639@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260708T143000 DTEND;TZID=Asia/Jerusalem:20260708T152000 DTSTAMP:20260505T135936Z URL:https://math.technion.ac.il/en/events/combinatorics-seminar-tba-5/ SUMMARY:Combinatorics Seminar -- TBA DESCRIPTION:Lecturer:\n Location:814 Amado\n \n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:648@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260709T113000 DTEND;TZID=Asia/Jerusalem:20260709T123000 DTSTAMP:20260511T130555Z URL:https://math.technion.ac.il/en/events/tba-36/ SUMMARY:TBA DESCRIPTION:Lecturer:Gili Berk (HUJI)\n Location:Amado 919\n TBA\n CATEGORIES:Geometry and Topology Seminar,Seminars LOCATION:Amado 919 END:VEVENT BEGIN:VEVENT UID:640@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260715T143000 DTEND;TZID=Asia/Jerusalem:20260715T152000 DTSTAMP:20260505T140010Z URL:https://math.technion.ac.il/en/events/combinatorics-seminar-tba-6/ SUMMARY:Combinatorics Seminar -- TBA DESCRIPTION:Lecturer:\n Location:814 Amado\n \n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:641@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20260722T143000 DTEND;TZID=Asia/Jerusalem:20260722T152000 DTSTAMP:20260505T140042Z URL:https://math.technion.ac.il/en/events/combinatorics-seminar-tba-7/ SUMMARY:Combinatorics Seminar -- TBA DESCRIPTION:Lecturer:\n Location:814 Amado\n \n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VEVENT UID:518@math.technion.ac.il DTSTART;TZID=Asia/Jerusalem:99990101T143000 DTEND;TZID=Asia/Jerusalem:99990101T152000 DTSTAMP:20260323T190014Z URL:https://math.technion.ac.il/en/events/elizaveta-nesterova/ SUMMARY:POSTPONED: Elizaveta Nesterova (Technion) -- What Can Be Reconstruc ted from Noisy Distance Queries? DESCRIPTION:Lecturer:Elizaveta Nesterova\n Location:814 Amado\n Suppose an unknown point in a metric space can only be accessed via noisy distance me asurements to chosen query points. What information about the target can b e reconstructed from such data?\n\n\n\nIn this talk we show that\, with an unlimited number of queries\, what can be reconstructed is exactly determ ined by a simple geometric invariant: the diameter–radius profile of the underlying metric space. We then ask when this asymptotic benchmark can a lready be achieved with finitely many queries. We present examples where t he limit is attained after finitely many queries (spaces we call “pseudo -finite”) and observe that pseudo-finiteness is a subtle\, space-depende nt condition. Finally\, we contrast this with bounded convex sets in R^d w ith d >\; 1\, where no finite number of queries ever achieves the limit. \n\n\n\nAll results are from our NeurIPS 2025 paper “Reconstruction and Secrecy under Approximate Distance Queries” (joint with Shay Moran).\n\n  \;\n CATEGORIES:Combinatorics Seminar,Seminars LOCATION:814 Amado END:VEVENT BEGIN:VTIMEZONE TZID:Asia/Jerusalem X-LIC-LOCATION:Asia/Jerusalem BEGIN:STANDARD DTSTART:20221030T010000 TZOFFSETFROM:+0300 TZOFFSETTO:+0200 TZNAME:IST END:STANDARD BEGIN:DAYLIGHT DTSTART:20230324T030000 TZOFFSETFROM:+0200 TZOFFSETTO:+0300 TZNAME:IDT END:DAYLIGHT BEGIN:STANDARD DTSTART:20231029T010000 TZOFFSETFROM:+0300 TZOFFSETTO:+0200 TZNAME:IST END:STANDARD BEGIN:DAYLIGHT DTSTART:20240329T030000 TZOFFSETFROM:+0200 TZOFFSETTO:+0300 TZNAME:IDT END:DAYLIGHT BEGIN:STANDARD DTSTART:20241027T010000 TZOFFSETFROM:+0300 TZOFFSETTO:+0200 TZNAME:IST END:STANDARD BEGIN:DAYLIGHT DTSTART:20250328T030000 TZOFFSETFROM:+0200 TZOFFSETTO:+0300 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