Keller admissible triples and Duflo theorem

GAP (Geometry, Algebra, Physics) Seminar

Meeting Details

For more information about this meeting, contact Donna Cepullio, Ping Xu, Mathieu Stiénon.

Speaker: Seokbong Seol, Korea Institute for Advanced Study

Abstract: The Hochschild cohomology of (associative) algebras can be generalized to dg algebras in two different ways. While the first kind of Hochschild cohomology of dg algebras admits a natural description in terms of a derived category of dg modules and is therefore preserved by quasi-isomorphisms of dg modules, the second kind of Hochschild cohomology is not. B. Keller proved that certain triples, which can be understood as a sort of `Morita equivalences’ of dg algebras, induce isomorphisms of Hochschild cohomology of the first kind. In this talk, we will define another class of triples, which we call `Keller admissible triples,’ that induce isomorphisms of Hochschild cohomology of the second kind. As an application, given a Lie algebra, we construct a Keller admissible triple and obtain an alternative proof of Duflo's theorem. This is a joint work with Hsuan-Yi Liao.

Room Reservation Information

Room Number: 106 McAllister

Date: 11/29/2022

Time: 2:30pm - 3:30pm