8–13 Jan 2023
Maison des Congrès
Europe/Zurich timezone

Short talk: A homotopy Poisson structure from Poisson reduction

11 Jan 2023, 10:50
25m
Maison des Congrès

Maison des Congrès

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

Speaker

Pedro Henrique Carvalho Silva (UZH)

Description

Applying the BFV-BRST techniques from field theory to the hamiltonian reduction of degree one graded symplectic manifolds, we obtain a homotopy version of the classical Konstant-Sternberg BRST algebra in a generalized hamiltonian context. This is based on the correspondence between hamiltonian symplectic degree one manifolds and Poisson manifolds, due to Roytenberg, and the relation between degree one graded reduction and standard Poisson reduction explored by Cattaneo and Zambon.

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