Equivariant Factorization Algebras from Abelian Chern-Simons theories

Alessandro Valentino
(Universität Zürich)
Seminar
Wednesday, 7 March, 2018, at 16:15-17:15, in Aud. D3 (1531-215)
Abstract:
Factorization algebras are a powerful tool to encode observables in classical and quantum field theory. As suggested by Costello and Gwilliam, to the formal moduli problem describing deformations of flat G-bundles with connections on a manifold M, one can associate a factorization algebra F on M which describes the perturbative aspects of classical Chern-Simons theory on M with structure group G. In the talk I will concentrate on the case of G an abelian group, and show that the factorization algebra F comes naturally equipped with a (homotopy) action of the gauge group Maps(M,G), which can be regarded as a genuine nonperturbative aspect of Chern-Simons theory. Joint work with Corina Keller.
Organised by: QGM
Contact person: Cristiano Spotti, Martin de Borbon & Roberta Iseppi