Mathematics Topology Seminar - Eva Belmont

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Date: October 29, 2019
Time: 2:00 p.m. - 3:00 p.m.
Location: Faculty/Administration #1140 | Map
656 W. Kirby
Detroit, MI 48202
Category: Seminar

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.

Contact

Department of Mathematics
3135772479
math@wayne.edu

Cost

Free

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