BIMSA > BIMSA Lecture $BV_\infty$ quantization of (-1)-shifted derived Poisson manifolds
$BV_\infty$ quantization of (-1)-shifted derived Poisson manifolds
Organizer
Chuang Qiang Hu
Speaker
Ping Xu
Time
Monday, December 16, 2024 10:00 AM - 10:45 AM
Venue
A3-4-101
Online
Zoom 815 762 8413 (BIMSA)
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.