Willow Bevington - Stratified Homotopy Types

Monday, July 17, 1pm GMT

Title: Stratified Homotopy Types

Abstract: Stratifications can be used to study homotopy invariants on manifolds and varieties with singularities, it is desirable then, to have an ∞-categorical description of stratified spaces. I will discuss some of the ways of getting a homotopy theory of stratified spaces pioneered by Peter Haine and discuss their relation to each other and, time permitting, discuss the roles of stratifications in Exodromy in Haine's work with Clark Barwick and Saul Glasman.