On an analytic theory of automorphic forms for complex algebraic curves

Wednesday, November 14, 2018 - 11:00am - 12:00pm
Keller 3-180
Edward Frenkel (University of California, Berkeley)
The geometric Langlands correspondence for complex algebraic curves, the way it is currently understood, differs from the original Langlands correspondence for number fields in that it is formulated in terms of sheaves rather than functions (in the intermediate case of curves over finite fields, both formulations are possible). In a recent preprint, Robert Langlands raised the possibility of developing an analytic theory of automorphic forms on the moduli of G-bundles on a complex algebraic curve. I will talk about Langlands' proposal and related issues.