G-equivariant factorization algebras

          @misc{ pirsa_PIRSA:18080054,
            doi = {10.48660/18080054},
            url = {https://pirsa.org/18080054},
            author = {Wells, Laura},
            keywords = {Mathematical physics},
            language = {en},
            title = {G-equivariant factorization algebras},
            publisher = {Perimeter Institute},
            year = {2018},
            month = {aug},
            note = {PIRSA:18080054 see, \url{https://pirsa.org}}
          }
          

Abstract

There are various ways to define factorization algebras: one can define a factorization algebra that lives over the open subsets of some fixed manifold; or, alternatively, one can define a factorization algebra on the site of all manifolds of a given dimension (possibly with a specified geometric structure). In this talk, I will outline a comparison between G-equivariant factorization algebras on a fixed model space M to factorization algebras on the site of all manifolds equipped with a (M, G)-structure, given by an atlas with charts in M and transition maps given by elements of G. I will introduce the definitions of these two concepts and then sketch the proof that there is a quasi-equivalence between these dg-categories. This is work in progress