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Mathematical Physics

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.

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