Geometry Seminar
Event starts on this day
Sep
18
2025
Event Starts at:
3:30 pm
– 5:30 pm
In Person (view details)
Featured Speaker(s):
Andrei Ionov
Cost:
Free
Event starts on this day
Sep
18
2025
Event starts at this time
3:30 pm
– 5:30 pm
In Person (view details)
Featured Speaker(s):
Andrei Ionov
Cost:
Free
Categorification of link invariants and Koszul dualities
Description
I will explain how to categorify a deformation of Khovanov-Rozansky homology of links introduced by E. Gorsky and M. Hogancamp. This categorification is given by a torus-equivariant version of the Hecke category and establishing it involves Kozsul duality for curved dg-algebras. As an application, I will show that Koszul self-duality of this Hecke category implies a new proof of symmetry of this link invariants conjectured by Gorsky-Hogancamp. The talk is based on paper in preparation, joint with Q.P Ho, P. Li and K. Tolmachov.