Personal tools
 

Fusion systems in finite group theory and topology

— filed under: ,

Justin Lynd, Rutgers University

What
  • Colloquium
  • Algebra Seminar
When Fri, Feb 20, 2015
from 04:00 PM to 04:50 PM
Where Ritter Hall 119
Add event to calendar vCal
iCal

Abstract: For a finite (simple) group G, the normalizers of its nonidentity p-subgroups generally constitute the largest of its (proper) subgroups that can be predicted to exist having knowledge of the order of G alone. So perhaps it is no surprise that, historically, these so-called "p-local subgroups" and the concomitant "p-local analysis" of them have played an important role in investigations of the structure of finite groups. A modern setting for p-local analysis is the category of p-fusion systems. I'll explain what a fusion system is, revisit some classical p-local-to-global theorems in finite groups, and describe some of the quite beautiful connections between fusion systems, cohomology, and the homotopy theory of classifying spaces.

(Reception to precede at 3:30 p.m.)

« January 2018 »
January
SuMoTuWeThFrSa
123456
78910111213
14151617181920
21222324252627
28293031
Upcoming Events
Colloquium
Fri, Jan 26, 2018
Physics in the complex domain Carl M. Bender, Washington University
Previous events…
Upcoming events…