Speaker: Edward Frenkel (University of California, Berkeley)
Title: Analytic Langlands correspondence for complex curves
Abstract: I will start the lecture with a brief introduction to various flavors of the Langlands correspondence. I will then explain the setup of a new flavor: the analytic Langlands correspondence for complex curves which was recently fomulated by Pavel Etingof, David Kazhdan, and myself (see arXiv:1908.09677, 2103.01509, and 2106.0524). It can be interpreted in terms of a quantum integrable system, which is obtained by "doubling" the celebrated quantum Hitchin system.