Cocategory and nilpotence

Date: 
2014/07/22 Tue 15:00 - 16:00
Room: 
Room 108, Building No.3
Speaker: 
Stephen Theriault
Affiliation: 
University of Southampton
Abstract: 

A correspondence is made between Hovey's notion of cocategory and the homotopy nilpotence class of certain finite loop spaces. This is used to determine the homotopy nilpotence class of quasi-p-regular exceptional Lie groups and sporadic p-compact groups, despite there being very little known about Samelson products on such spaces.