Recent Progress in Geometric Langlands - ICBS 2024

Explore recent advancements in the geometric Langlands program through this hour-long conference talk by Sam Raskin at ICBS2024. Delve into the analogy between Langlands's arithmetic conjectures and the Beilinson-Drinfeld conjecture, which proposes an equivalence between D-modules on G-bundle spaces and certain coherent sheaves on Ǧ-local system spaces over algebraic curves. Gain insights into Raskin's collaborative work with D. Gaitsgory and others, including D. Arinkin, D. Beraldo, L. Chen, J. Faergeman, K. Lin, and N. Rozenblyum, as they verify this conjecture and address related questions in the field of geometric Langlands theory.