BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:NOTE unusual time: Geordie Williamson (University of Sidney)
DTSTART:20210610T070000Z
DTEND:20210610T090000Z
DTSTAMP:20260423T041351Z
UID:AGNTISTA/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGNTISTA/36/
 ">Spectra in representation theory</a>\nby NOTE unusual time: Geordie Will
 iamson (University of Sidney) as part of Algebraic Geometry and Number The
 ory seminar - ISTA\n\n\nAbstract\nIn geometric representation theory cohom
 ology\, intersection cohomology and constructible sheaves show up everywhe
 re. This might seem strange to an algebraic topologist\, who might ask: wh
 y this emphasis on cohomology\, when there are so many other interesting c
 ohomology theories(like K-theory\, elliptic cohomology\, complex cobordism
 \, ...) out there? They might also ask: is there something like "intersect
 ion K-theory"\, or "intersection complex cobordism"? This is something I'v
 e often wondered about. I will describe 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 an
 d B2\, one gets something roughly resembling the quantum group. Speaking v
 ery roughly\, the intersection K-theory of Schubert varieties in the affin
 e Grassmannian should recover the irreducible representations of the quant
 um group. Inspirations for this work include a strange Cartan matrix disco
 vered by Ben Elias\, and work of Cautis-Kamnitzer.\n
LOCATION:https://researchseminars.org/talk/AGNTISTA/36/
END:VEVENT
END:VCALENDAR