Penn Arts & Sciences Logo

Math-Physics Joint Seminar

Friday, December 2, 2022 - 3:30pm

Nikita Rozenblyum

University of Chicago


University of Pennsylvania


Join Zoom Meeting Meeting ID: 969 4172 5041

Starting with Langlands' original program, there have been proposed numerous versions of Langlands conjectures in various settings, obtained by a sequence of analogies. One of the striking features of the versions for Riemann surfaces is their connections to quantum field theory, which has led to significant progress in this setting. I will describe a new unifying version of the geometric Langlands conjecture which interpolates between all other geometric versions. In particular, this allows to apply ideas from quantum field theory to new settings. As a consequence, we resolve a number of long-standing questions in geometric Langlands and obtain a purely spectral description of automorphic forms for algebraic curves over finite fields, which in particular gives a refinement of V. Lafforgue's spectral decomposition.