Character sheaves and Khovanov-Rozansky homology

Seminar series

Algebra Seminar

Date

Tue, 22 Nov 2022
14:00

Location

Speaker

Kostiantyn Tolmachov

Organisation

Edinburgh University

Khovanov-Rozansky homology is a link invariant that categorifies the HOMFLY-PT polynomial. I will describe a geometric model for this invariant, living in the monodromic Hecke category. I will also explain how it allows to identify objects representing graded pieces of Khovanov-Rozansky homology, using a remarkable family of character sheaves. Based on joint works with Roman Bezrukavnikov.