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

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

Time: 2023-02-12 Published By: Wenqiong Li

Speaker(s): Ping Xu (Penn State)

Time: 14:00-15:00 February 21, 2023

Venue: Room 29, Quan Zhai, BICMR

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 joint work with Kai Behrend and Matt Peddie.