Topology and Geometric Group Theory Seminar
Jeremy MillerStanford University
Factorization homology and applications to spaces of holomorphic maps
Tuesday, February 3, 2015 - 1:30pm
Malott 224
Factorization homology is a construction generalizing configuration spaces of particles in a manifold and is a useful tool for constructing configuration space models of spaces of continuous maps. After giving the definitions of factorization homology, I will discuss applications of factorization homology to the study of spaces of holomorphic maps. These applications will serve as motivation for generalizing the non-abelian Poincaré duality theorems of Salvatore and Lurie as well as studying homological stability properties of factorization homology.