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TZID:Asia/Jerusalem
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BEGIN:VEVENT
UID:33@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20230329T113000
DTEND;TZID=Asia/Jerusalem:20230329T123000
DTSTAMP:20230329T074340Z
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
END:VEVENT
BEGIN:VEVENT
UID:49@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20230503T113000
DTEND;TZID=Asia/Jerusalem:20230503T123000
DTSTAMP:20230423T154616Z
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
END:VEVENT
BEGIN:VEVENT
UID:61@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20230510T113000
DTEND;TZID=Asia/Jerusalem:20230510T123000
DTSTAMP:20230504T120352Z
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
END:VEVENT
BEGIN:VEVENT
UID:68@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20230517T113000
DTEND;TZID=Asia/Jerusalem:20230517T123000
DTSTAMP:20230510T141240Z
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
END:VEVENT
BEGIN:VEVENT
UID:91@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20230614T113000
DTEND;TZID=Asia/Jerusalem:20230614T123000
DTSTAMP:20230610T073043Z
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
END:VEVENT
BEGIN:VEVENT
UID:103@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20230628T113000
DTEND;TZID=Asia/Jerusalem:20230628T123000
DTSTAMP:20230616T115629Z
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
END:VEVENT
BEGIN:VEVENT
UID:150@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20240117T103000
DTEND;TZID=Asia/Jerusalem:20240117T113000
DTSTAMP:20240108T151418Z
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
END:VEVENT
BEGIN:VEVENT
UID:151@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20240124T103000
DTEND;TZID=Asia/Jerusalem:20240124T113000
DTSTAMP:20240122T093015Z
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
END:VEVENT
BEGIN:VEVENT
UID:160@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20240207T103000
DTEND;TZID=Asia/Jerusalem:20240207T113000
DTSTAMP:20240206T133602Z
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
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