11–14 Sept 2022
Maison des Congrès
Europe/Zurich timezone

Colloquium: Poisson structures from corners of field theories

12 Sept 2022, 13:30
1h
Maison des Congrès

Maison des Congrès

Chem. des Grandes Isles 7, 1865 Ormont-Dessus Les Diablerets Switzerland

Speaker

Alberto Cattaneo (UZH)

Description

The BV formalism and its shifted versions in field theory have a nice compatibility with boundary structures. Namely, one such structure in the bulk induces a shifted (possibly degenerated) version on its boundary. I will discuss in particular how to proceed from the BFV structure on a “space” slice in field theory, which describes the symplectic reduction due to constraints), to a shifted structure on its boundary (the corners of space–time), which in turn describes a Poisson algebra (possibly up to homotopy). I will describe a few examples, including, time permitting, general relativity in the coframe formulation.

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