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UID:339@math.technion.ac.il

DTSTART;TZID=Asia/Jerusalem:20241205T133000

DTEND;TZID=Asia/Jerusalem:20241205T143000

DTSTAMP:20250109T093840Z

URL:https://math.technion.ac.il/events/cable-car-algebra-seminar-on-genera
 ting-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

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DTSTART:20241027T010000

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