Swiss Knots 2011

Knot Theory and Algebra

Lake Thun, May 23-27

The structure of categorified representation theory

Aaron Lauda's talk
Date: 23.05.11   Time: 15.00 - 15.50   Room: Gwatt Zentrum

Coauthor: Sabin Cautis

Abstract: In this talk we will review the diagrammatic categorification of quantum sl2. This algebraic structure provides the representation theoretic explanation for categorified link invariants such as Khovanov homology. We will examine the structure of 2-representations and show that the axioms that need to be checked can be made quite small. This allows us to relate such a 2-representation to the 2-representations introduced by Rouquier, generalizing his work with Chuang.