### Higher dimensional cobordism categories and their topology

**Tillmann, U ***(Oxford)*

Friday 17 April 2009, 11:00-12:00

Satellite

#### Abstract

Cobordism categories are at the foundations of topological quantum field theory. We will discuss how to define a strict higher dimensional version of the cobordism category, associate a topological space to them, and explain how these spaces relate to classical spaces in cobordism theory as studied by Thom and others in the middle of the last century.