Mathematics Topology Seminar - Eva Belmont
This event is in the past.
Detroit, MI 48202
Speaker: Eva Belmont, Northwestern University
Title: A normalizer decomposition for compact Lie groups
Abstract: If G is a finite group, the normalizer decomposition is a way of expressing BG, up to p-completion, as a homotopy colimit of smaller groups. Building on a construction due to Libman for p-local finite groups, we obtain a normalizer decomposition for compact Lie groups. We recover decompositions due to Dwyer, Miller, and Wilkerson of 2-completed BSU(2) and BSO(3), and compute new decompositions of BSU(p) completed at p. The talk will also contain an introduction to fusion systems, which are related to a generalization of p-completed classifying spaces, as that is the setting for our work. This is joint work with Natalia Castellana, Jelena Grbic, Kathryn Lesh, and Michelle Strumila.