Quantum groups, quantum field theory and Koszul duality, I: Chern-Simons field theories in various dimensions.
Speaker:
Kevin Costello, Perimeter Institute
Date and Time:
Monday, June 11, 2018 - 11:00am to 12:00pm
Location:
Fields Institute, Room 230
Abstract:
I will introduce Chern-Simons type field theories in dimensions 3,4,5 and 6. In each case there is a factorization algebra of observables of the theory, which I will describe. The goal of these lectures will be to understand explicitly these factorization algebras and how they relate to quantum groups. As a first step, in this lecture, I will introduce the concept of line defect and state some theorems relating the category of line defects to the category of representations of certain quantum groups.