**COLLOQUIUM **

**"Fusion Systems, Bisets,
and Group-Like Structures"**

By

# MATTHEW GELVIN

# (Bilkent
University)

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**Abstract: **Fusion
theory is the study of the structure of finite groups visible to a particular
prime number. It connects the worlds of finite groups, algebraic
topology, and modular representation theory. In this talk we will
describe fusion systems arising from finite groups and discuss one of the
motivating theorems in the field, which roughly states that the algebraic and
topological notions of p-local data coincide. We will conclude with a
discussion of more recent work, joint with Reeh and Yalcin, that
seeks to understand fusion systems in terms of certain more group-like
structures.

**Date: ****Wednesday, October 14, 2015**

**Time: ****15.40**

**Place: ****Mathematics Seminar Room,
SA-141**

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**All are most cordially invited.**

Tea and biscuits: after the seminar