Deformation quantization of unimodular Poisson algebras and Koszul duality
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
Time: 2:30pm - 3:30pm