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幺半范畴与操作代数研究
幺半范畴与操作代数研究
Hochschild cohomology and deformations of extended Khovanov arc algebras
Hochschild cohomology and deformations of extended Khovanov arc algebras
演讲者
Severin Barmeier
时间
2026年05月25日 16:00 至 17:00
地点
A3-1-301
线上
Zoom 559 700 6085
(BIMSA)
摘要
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.