Clay Research Conference - an Online Event
Gauge Theory and the Analytic Approach to Geometric Langlands
**Limited seating is available in Simonyi Lecture Hall and is by invitation only for IAS members or faculty. Remote access will be given to those that register. Please contact Naomi Kraker at admin@claymath.org to receive the zoom link for the talks.
Abstract: Recently P. Etingof, E. Frenkel, and D. Kazhdan, following earlier contributions by R. Langlands and J. Teschner, described an “analytic” approach to the geometric Langlands correspondence, in which the main ingredients are quantum states and operators acting on them rather than categories and functors. In this talk, I will review the gauge theory approach to the “categorical” version of geometric Langlands, and then, following the paper arXiv:2107.01732 with D. Gaiotto, I will explain how the same ingredients can be arranged differently to give a gauge theory interpretation of the “analytic” version of geometric Langlands.