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Toronto Geometric Representation Theory Seminar

Kostya Tolmachov (Perimeter/Toronto)

Monodromic model for Khovanov-Rozansky homology

Organizer's time: 2021-02-26 13:30 America/New_York

Duration: 1 hour

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Abstract: Khovanov-Rozansky homology is a knot invariant which, by the result of Khovanov, can be computed as the Hochschild cohomology functor applied to Rouquier complexes of Soergel bimodules. I will describe a new geometric model for the Hochschild cohomology of Soergel bimodules, living in the monodromic Hecke category. I will also explain how it allows to identify objects representing individual Hochs—Āhild cohomology groups as images of explicit character sheaves. Based on the joint work with Roman Bezrukavnikov.

Submitted by: Oscar Kivinen