## Colloquium - Cain Edie-Michell

**Date: ** January 19, 2022

**Time: ** 4:00PM - 5:00PM

**Location: ** BLOC 117

**Speaker: **Cain Edie-Michell, University of California - San Diego

**Description: ****Title:** Fusion Categories and their Applications.
**Abstract:** Fusion categories are algebraic gadgets which behave a lot like the representation theory of a finite group. Just like groups, fusion categories have a myriad of applications throughout mathematics and physics. In this talk I will describe how fusion categories naturally appear in quantum field theory, and in operator algebras. Further I will show how fusion category techniques can be used to solve open problems in these research areas.