EVENT DETAILS AND ABSTRACT

Title: Nonabelian Poincare duality in equivariant factorization homology
Speaker: Foling Zou
Speaker Info: University of Chicago
Brief Description:
Special Note:
Abstract:

The factorization homology are invariants of $n$-dimensional manifolds with some fixed tangential structures that take coefficients in suitable $E_n$-algebras. In this talk, I will give a definition for the equivariant factorization homology of a framed manifold for a finite group $G$, and prove the equivariant nonabelian Poincare duality in this case. We use a point-set approach following Miller-Kupers. As an application, in joint work with Asaf Horev and Inbar Klang, we calculate the equivariant factorization homology on equivariant spheres for certain Thom spectra.