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SUMMARY:Ben Elias (Univ. Oregon)
DTSTART:20210226T170000Z
DTEND:20210226T180000Z
DTSTAMP:20260423T022811Z
UID:TQFT/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/27/">In
 troduction to the Hecke category and the diagonalization of the full twist
 </a>\nby Ben Elias (Univ. Oregon) as part of Topological Quantum Field The
 ory Club (IST\, Lisbon)\n\n\nAbstract\nThe group algebra of the symmetric 
 group has a large commutative subalgebra generated by Young-Jucys-Murphy e
 lements\, which acts diagonalizably on any irreducible representation. The
  goal of this talk is to give an accessible introduction to the categorifi
 cation of this story. The main players are: Soergel bimodules\, which cate
 gorify the Hecke algebra of the symmetric group\; Rouquier complexes\, whi
 ch categorify the braid group where Young-Jucys-Murphy elements live\; and
  the Elias-Hogancamp theory of categorical diagonalization\, which allows 
 one to construct projections to "eigencategories."\n
LOCATION:https://researchseminars.org/talk/TQFT/27/
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