Videos

Relative Geometric Langlands Duality - I

Presenter
March 24, 2020
Keywords:
  • geometric Langlands
  • topological field theory
  • automorphic L-function
MSC:
  • 14D24
Abstract
I will present joint work with Yiannis Sakellaridis and Akshay Venkatesh in which we apply insights from physics (the understanding of electric-magnetic duality for boundary conditions in gauge theory) to a problem in number theory (the connection between period integrals and L-functions). The intermediary between the two is a duality between hamiltonian actions of Langlands dual groups, a ``relative" form of the geometric Langlands correspondence.