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.