# Departmental Seminar

## Self-avoiding walks and discrete complex analysis

**Jan De Gier**

**Friday 8 June 2012 4pm**

**John Dedman G35**

Speaker: Jan De Gier

Affiliation: University of Melbourne

Abstract:

In 2010 the asymptotic number of self-avoiding walks on the honeycomb lattice was rigorously proved to be $\sqrt{2+\sqrt{2}}$,

a value conjectured by physicist Nienhuis in 1982. The proof, by Smirnov and Duminil-Copin, uses simple and elegant ideas from

discrete complex analysis. This talk will explain some of the underlying ideas of this result and possible extension.