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SUMMARY:Centers and centralizers in (double) affine Hecke algebras.
DTSTART:20241002T101500
DTEND:20241002T111500
DTSTAMP:20260416T193035Z
UID:f1594541eacb99cd3ffac4a179275e46219659dda359beb284c22a02
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jonathan Gruber\, FAU Erlangen-Nürnberg\nThe affine Hecke alg
 ebra and its center are important objects of study in combinatorial\, geom
 etric and categorical representation theory. In this talk\, I will discuss
  a new commutative subalgebra of the affine Hecke algebra of type A\, whic
 h arises from a centralizer construction in the double affine Hecke algebr
 a. This subalgebra contains the center\, and it admits a canonical basis a
 kin to the Kazhdan-Lusztig basis of the affine Hecke algebra. I will expla
 in how the canonical basis can be used as a tool to compute composition mu
 ltiplicities in Gaitsgory's central sheaves on affine flag manifolds.\n 
LOCATION:CM 1 517 https://plan.epfl.ch/?room==CM%201%20517
STATUS:CONFIRMED
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