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SUMMARY:Alex Abreu (UFF)
DTSTART:20200819T183000Z
DTEND:20200819T200000Z
DTSTAMP:20260423T004514Z
UID:BRAG/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BRAG/21/">A 
 geometric interpretation for characters of Iwahori--Hecke algebras</a>\nby
  Alex Abreu (UFF) as part of Brazilian algebraic geometry seminar\n\n\nAbs
 tract\nThe Iwahori-Hecke algebra is a deformation of the group algebra of 
 the symmetric group. It has a distinguished basis (enumerated by permutati
 ons) called the Kazhdan-Lusztig basis.  For each permutation we consider c
 ertain subvarieties of the complete flag variety that generalize Hessenber
 g varieties. These varieties carry an action of the symmetric group on its
  intersection cohomology groups.  We prove that the Frobenius character of
  this action is precisely the Frobenius character of an element of the Kaz
 hdan-Lusztig basis of the Hecke algebra.  This is a generalization to non-
 codominant permutations  of Brosnan-Chow's solution to the Sharesian-Wachs
  conjecture.  Some partial results in other Lie types are also achieved.\n
 \nLink for the google meet will be posted here a few days before the talk.
 \n
LOCATION:https://researchseminars.org/talk/BRAG/21/
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