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SUMMARY:Lin Chen (Harvard)
DTSTART:20201123T190000Z
DTEND:20201123T200000Z
DTSTAMP:20260423T004641Z
UID:UMassRep/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UMassRep/10/
 ">Deligne-Lusztig duality on the category of automorphic sheaves and categ
 orical 2nd adjointness</a>\nby Lin Chen (Harvard) as part of UMass Amherst
  Representation theory seminar\n\n\nAbstract\nThe Deligne-Lusztig duality 
 in the title\, which was conjectured by Drinfeld-Wang and Gaitsgory and pr
 oved by the speaker\, relates the “miraculous duality” on the moduli s
 tack G-torsors to certain parabolic induction/restriction functors. The (u
 nramified) categorical 2nd adjointness\, which was a folklore among the ex
 perts but proved and generalized by the speaker using nova methods\, is a 
 categorification of Bernstein’s famous 2nd adjointness. I will explain t
 he relation between these two results\, as well as the common ideas in the
 ir proofs: studying nearby cycles on certain geometric objects constructed
  from the Vinberg semi-group.\n
LOCATION:https://researchseminars.org/talk/UMassRep/10/
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