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SUMMARY:Ben Elias (UOregon Eugene)
DTSTART:20210426T180000Z
DTEND:20210426T190000Z
DTSTAMP:20260423T024456Z
UID:UMassRep/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UMassRep/27/
 ">Introduction to the Hecke category and the diagonalization of the full t
 wist</a>\nby Ben Elias (UOregon Eugene) as part of UMass Amherst Represent
 ation theory seminar\n\n\nAbstract\nThe group algebra of the symmetric gro
 up has a large commutative subalgebra generated by Young-Jucys-Murphy elem
 ents\, which acts diagonalizably on any irreducible representation. The go
 al of this talk is to give an accessible introduction to the categorificat
 ion of this story. The main players are: Soergel bimodules\, which categor
 ify the Hecke algebra of the symmetric group\; Rouquier complexes\, which 
 categorify the braid group where Young-Jucys-Murphy elements live\; and th
 e Elias-Hogancamp theory of categorical diagonalization\, which allows one
  to construct projections to "eigencategories."\n
LOCATION:https://researchseminars.org/talk/UMassRep/27/
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