Topology and Geometry Seminar

Location: CL 305

Speaker: Martin Frankland, University of Regina

Title: Simplicial localizations and simplicial categories

Abstract:  

Given a category C with a class of "weak equivalences" W, Dwyer and Kan constructed a simplicial localization of C that turns the morphisms in W into equivalences. We will go over this construction, its properties, and some tools to compute the mapping spaces. We will then discuss the Bergner model structure on simplicial categories, which allows us to view simplicial categories as a model for infinity-categories.