Deformation quantization of unimodular Poisson algebras and Koszul duality

GAP Seminar

Meeting Details

For more information about this meeting, contact Kristin Berrigan, Ping Xu, Nigel Higson, Mathieu Stienon, Matthew Peddie.

Speaker: Youming Chen, Penn State

Abstract: In this talk we consider the noncommutative Poincar\'e duality between the Poisson homology and cohomology of unimodular Poisson algebras, and show that Kontsevich's deformation quantization as well as Koszul duality preserve the corresponding Poincar\'e duality. As a corollary, the Batalin-Vilkovisky algebra structures that naturally arise in these cases are all isomorphic. The talk is based on the joint work with X. Chen, F. Eshmatov and S. Yang.

Room Reservation Information

Room Number: 106 McAllister

Date: 04/23/2019

Time: 2:30pm - 3:30pm