Europe/Lisbon
Room P3.10, Mathematics BuildingOnline Instituto Superior Técnicohttps://tecnico.ulisboa.pt

Eugene Rabinovich

Eugene Rabinovich, University of Notre Dame
Classical Bulk-Boundary Correspondences via Factorization Algebras

A factorization algebra is a cosheaf-like local-to-global object which is meant to model the structure present in the observables of classical and quantum field theories. In the Batalin–Vilkovisky (BV) formalism, one finds that a factorization algebra of classical observables possesses, in addition to its factorization-algebraic structure, a compatible Poisson bracket of cohomological degree +1. Given a "sufficiently nice" such factorization algebra on a manifold N, one may associate to it a factorization algebra on N x [0,∞). The aim of the talk is to explain the sense in which the latter factorization algebra "knows all the classical data" of the former. This is the bulk-boundary correspondence of the title. Time permitting, we will describe how such a correspondence appears in the deformation quantization of Poisson manifolds.

Video

Additional file

Eugene's slides.

Local participants are invited to join us in room 3.10 (3rd floor, Mathematics Department, Instituto Superior Técnico).