BIMSA > Disquisitions on Monoidal Categories and Operads Disquisitions on Monoidal Categories and Operads Hochschild cohomology and deformations of extended Khovanov arc algebras
Hochschild cohomology and deformations of extended Khovanov arc algebras
Organizers
Svyatoslav Pimenov , Angel Toledo Castro
Speaker
Severin Barmeier
Time
Monday, May 25, 2026 4:00 PM - 5:00 PM
Venue
A3-1-301
Online
Zoom 559 700 6085 (BIMSA)
Abstract
Khovanov arc algebras play a central role in the categorification of knot and link invariants, which admits natural descriptions from several different viewpoints. Both from a representation-theoretic and a symplectic perspective, their quasi-hereditary covers, the so-called "extended" Khovanov arc algebras, are natural objects of study with excellent algebraic properties. I will explain how to construct explicit A-infinity deformations of these algebras, by using Koszul duality, quivers with relations, and reduction systems. This settles a conjecture of Stroppel on the Hochschild cohomology of extended Khovanov arc algebras and raises the question of the topological, symplectic, and representation-theoretic meaning of the corresponding deformations.