Prof. Meng-Chwan Tan (National University of Singapore, Singapore)

Electric-magnetic duality in physics and the geometric Langlands program

I will furnish an introduction to geometric Langlands duality via its manifestation in physical gauge theory. I will cover the underlying physics and math ideas starting with Faraday and electromagnetism, on to Montonen-Olive and the Langlands duality of electric-magnetic charges, then to Hitchin and the mirror symmetry of his moduli spaces, and finally, to Kapustin-Witten and S-duality of 4d N=4 topological gauge theory.