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SUMMARY:Justin Campbell (UChicago)
DTSTART:20220215T193000Z
DTEND:20220215T203000Z
DTSTAMP:20260423T024426Z
UID:UMassRep/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UMassRep/29/
 ">Affine Harish-Chandra bimodules and Steinberg-Whittaker localization</a>
 \nby Justin Campbell (UChicago) as part of UMass Amherst Representation th
 eory seminar\n\n\nAbstract\nThis talk will be about my paper of the same t
 itle with Gurbir Dhillon. It is well-known that the center of the envelopi
 ng algebra of an affine Kac-Moody algebra at noncritical level is trivial.
  Nonetheless\, its representation theory shares many features with that of
  a finite-dimensional semisimple Lie algebra\, including a block decomposi
 tion of category O. We propose an analogue\, for any affine Weyl group orb
 it at noncritical level\, of the category of Kac-Moody representations wit
 h the corresponding "generalized central character." We also construct equ
 ivalences relating various categories of affine Harish-Chandra bimodules\,
  Whittaker modules\, and Whittaker D-modules on the loop group\, generaliz
 ing known equivalences in the finite-dimensional case proved by Bernstein-
 Gelfand\, Beilinson-Bernstein\, Milicic-Soergel\, and others.\n
LOCATION:https://researchseminars.org/talk/UMassRep/29/
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