Equivariant Factorization Homology and Tools for Studying It

Factorization homology arose from Beilinson-Drinfeld's algebro-geometric approach to conformal field theory, and from study of labeled configuration spaces due to McDuff, Segal, Salvatore, Andrade, and others. In this talk, I will give an introduction to factorization homology and equivariant factorization homology from the point of view of configuration spaces. I will then discuss joint work with Asaf Horev and Foling Zou, with an appendix by Jeremy Hahn and Dylan Wilson, in which we prove a "non-abelian Poincaré duality" theorem for equivariant factorization homology, and study the equivariant factorization homology of equivariant Thom spectra. In particular, this provides an avenue for computing certain equivariant analogues of topological Hochschild homology.

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