"Doing Group Theory with Categories"
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
Place: Mathematics Seminar Room, SA-141
All are most cordially invited.
Tea and cookies will be served after the talk.