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Algebraic Topology and Physics Seminar, Week 2

Owen Gwilliam, "Factorization Algebras and Affine Kac-Moody Vertex Algebras"

“Factorization Algebras and Affine Kac-Moody Vertex Algebras”
Speaker: Owen Gwilliam, Northwestern University
Date: Tuesday, January 31, 2012
Time: 10:00am – 11:30am
Place:Seminar Room 313, Simons Center






The notion of a factorization algebra was introduced by Beilinson and Drinfeld in their work on conformal field theory and subsequently variants of their notion have been developed for topological and (Euclidean) quantum field theory. In this talk, I’ll introduce the version developed by Kevin Costello and me and I’ll focus on a direct, simple construction of a factorization algebra that recovers the vertex algebra associated to affine Kac-Moody Lie algebras. At the end, I’ll explain how this relates to perturbative QFT.