###
10/09/2008, 15:00 — 16:00 — Room P12, Mathematics Building

Anton Kapustin, *California Institute of Technology*

```
```###
Electric-magnetic duality and Langlands duality

It is a well-known fact that Maxwell electrodynamics without
sources has a symmetry which exchanges electric and magnetic
fields. This is known as electric-magnetic duality, and it holds
both on the classical and quantum levels. Remarkably, there is
strong evidence that electric-magnetic duality also holds in
quantum Yang-Mills theory, where it relates theories with different
(dual) gauge groups. I will discuss how this phenomenon is related
to Langlands phenomena in representation theory.