**BİLKENT **

**REPRESENTATION
THEORY**

**"Doing
Group Theory with Categories"**

By

# PETER WEBB

# (University of
Minnesota)

**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**

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**All are most cordially invited.**

Tea and cookies will be served after the talk.