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SUMMARY:Jonathan Gruber (York)
DTSTART:20240312T140000Z
DTEND:20240312T150000Z
DTSTAMP:20260421T154210Z
UID:UEAPS/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UEAPS/24/">C
 enters and centralizers in (double) affine Hecke algebras</a>\nby Jonathan
  Gruber (York) as part of ANTLR seminar\n\nLecture held in Queen 01.09.\n\
 nAbstract\nThe affine Hecke algebra and its center are important objects o
 f study in combinatorial\, geometric and categorical representation theory
 . In this talk\, I will discuss a new commutative subalgebra of the affine
  Hecke algebra of type A\, which arises from a centralizer construction in
  the double affine Hecke algebra. This subalgebra contains the center\, an
 d it admits a canonical basis akin to the Kazhdan-Lusztig basis of the aff
 ine Hecke algebra. I will explain how the canonical basis can be used as a
  tool to compute composition multiplicities in Gaitsgory's central sheaves
  on affine flag manifolds.\n
LOCATION:https://researchseminars.org/talk/UEAPS/24/
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