Presented by: 
Anthony Licata (Australian National University)
Date: 
Mon 5 May, 2:00 pm - 2:45 pm
Venue: 
Hawken Engineering Building (50), room N202

Abstract: 
In the 1980's, Vaughn Jones constructed a polynomial invariant of knots, launching a decade of intense work in quantum topology, a branch of pure mathematics closely connected to the representation theory of quantum groups. In 2000, Mikhail Khovanov "categorified" Jones' invariant, defining a homology theory for knots whose Euler characteristic is the Jones polynomial.  The goal of this talk will be to explain Khovanov's construction and describe how it is related to other recent developments in the representation theory of quantum groups.