Oberseminar Deformationsquantisierung und Geometrie: Ping Xu (Penn State University)
BV-infinity quantization of (-1)-shifted derived Poisson manifolds
Date: | 06/07/2024, 1:30 PM - 2:15 PM |
Category: | Veranstaltung |
Location: | Hubland Nord, Geb. 31, 31.00.018 |
Speaker: | Ping Xu (Penn State University) |
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.