Geometry & Topology Seminar

Richard Derryberry, University of Toronto and Perimeter Institute for Theoretical Physics

"Langlands duality and self-duality for Hitchin systems"

I will sketch why self-dual versions of the moduli of G-Higgs bundles are expected to arise from the study of certain supersymmetric quantum field theories, including a comparison to the physical origin of the geometric Langlands program. I will then describe an extension of the Langlands duality results of Hausel-Thaddeus (G=SL(n)) and Donagi-Pantev (arbitrary reductive G) that yields self-dual moduli spaces as a corollary.

MC 5403