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SUMMARY:Tina Kanstrup (UMass Amherst)
DTSTART:20210311T195000Z
DTEND:20210311T205000Z
DTSTAMP:20260423T041500Z
UID:GPRTatNU/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/20/
 ">Link homologies and Hilbert schemes via representation theory</a>\nby Ti
 na Kanstrup (UMass Amherst) as part of Geometry\, Physics\, and Representa
 tion Theory Seminar\n\n\nAbstract\nThe aim of this joint work in progress 
 with Roman Bezrukavnikov is to unite different approaches to Khovanov-Roza
 nsky triply graded link homology. The original definition is completely al
 gebraic in terms of Soergel bimodules. It has been conjectured by Gorsky\,
  Negut and Rasmussen that it can also be calculated geometrically in terms
  of cohomolgy of sheaves on Hilbert schemes. Motivated by string theory Ob
 lomkov and Rozansky constructed a link invariant in terms of matrix factor
 izations on related spaces and later proved that it coincides with Khovano
 v-Rozansky homology. In this talk I’ll discuss a direct relation between
  the different constructions and how one might invent these spaces startin
 g directly from definitions.\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/20/
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