"Doing
Group Theory with Categories"
By
Abstract: Many
of the constructions which we do in group theory can be done in a more general
context: that of categories. There is a cohomology
theory of categories with interpretations of low-dimensional cohomology analogous to what happens for groups. There is a
Gruenberg resolution, a Burnside ring, we can define Mackey functors on
categories, there are extensions of categories: the
list goes on. Historically many of these structures have been used to
understand groups better, and this remains a motivation for studying the more
recent generalizations. I will give an overview of some of the range of things
that can done.
Date: Thursday, May 30, 2013
Time: 14.00-15.00
Place: Mathematics Seminar Room,
SA-141
All are most cordially invited.
Tea and cookies will be served after the talk.