$BV_\infty$ quantization of (-1)-shifted derived Poisson manifolds

Speaker: Prof. XU Ping, PennState

Time: 14:00-16:00, May 28

Venue: Room102, School of Mathematical Sciences. Zijingang Campus

Abstract: In this talk, we will give an overview of (-1)-shifted derived Poisson manifolds in the $C^\infty$-context, and discuss the quantization problem. We describe the obstruction theory and prove that the linear (-1)-shifted derived Poisson manifold associated to any $L_\infty$-algebroid admits a canonical $BV_\infty$ quantization. This is a joint work with Kai Behrend and Matt Peddie.