Europe/Lisbon
Room P3.10, Mathematics Building — Online

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 $N\times [0,∞)$. 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.

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Eugene's slides.

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