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DTSTAMP:20260404T161952Z
UID:1623308400@ist.ac.at
DTSTART:20210610T090000
DTEND:20210610T110000
DESCRIPTION:Speaker: Geordie Williamson\nhosted by Tamas Hausel\nAbstract: 
 In geometric representation theory cohomology\, intersection cohomology an
 d constructible sheaves show up everywhere. This might seem strange to an 
 algebraic topologist\, who might ask: why this emphasis on cohomology\, wh
 en there are so many other interesting cohomology theories(like K-theory\,
  elliptic cohomology\, complex cobordism\, ...) out there? They might also
  ask: is there something like "intersection K-theory"\, or "intersection c
 omplex cobordism"? This is something I've often wondered about. I will des
 cribe work in progress with Ben Elias\, where we use Soergel bimodules to 
 investigate what KU-modules look like on the affine Grassmannian. We have 
 checked by hand that in types A1\, A2 and B2\, one gets something roughly 
 resembling the quantum group. Speaking very roughly\, the intersection K-t
 heory of Schubert varieties in the affine Grassmannian should recover the 
 irreducible representations of the quantum group. Inspirations for this wo
 rk include a strange Cartan matrix discovered by Ben Elias\, and work of C
 autis-Kamnitzer.
LOCATION:https://mathseminars.org/seminar/AGNTISTA\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Geordie Williamson: Spectra in representation theory
URL:https://talks-calendar.ista.ac.at/events/3105
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