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College of Liberal Arts and Sciences | Mathematics

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

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.

For more information about this event, please contact Department of Mathematics at 3135772479 or math@wayne.edu.