The geometric Langlands correspondence and electromagnetic duality

Thursday, November 15, 2018 - 1:30pm - 2:30pm
Keller 3-180
Edward Frenkel (University of California, Berkeley)
Electromagnetic duality (also known as S-duality), discovered by physicists in the 1980s, is a conjectural equivalence between 4d supersymmetric quantum gauge theories associated to two compact Lie groups that are Langlands dual to each other. Starting with the pioneering work by Kapustin and Witten, a great effort has been made in the past dozen years to find connections between the electromagnetic duality and the geometric Langlands correspondence, as well as its one-parameter deformation that naturally appears in this context. In this lecture I will survey what is presently known about these connections.