PIRSA:18080054 Conference Mathematical physics

DOI10.48660/18080054

Conference/School: Higher Algebra and Mathematical Physics

Wells, L. (2018). G-equivariant factorization algebras. Perimeter Institute. https://pirsa.org/18080054

Wells, Laura. G-equivariant factorization algebras. Perimeter Institute, Aug. 15, 2018, https://pirsa.org/18080054 

@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

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