3:00–4:00 pm Eckhart Hall, Room 202
Title: Recent Progress in Geometric Langlands
Abstract: By analogy with Langlands's conjectures in arithmetic,
Beilinson and Drinfeld conjectured that D-modules on the space of
G-bundles on an algebraic curve are the same as (certain) coherent
sheaves on the space of local systems on the same curve, but for the
Langlands dual group. We will discuss our recent work, joint with D.
Gaitsgory and partially joint with D. Arinkin, D. Beraldo, L. Chen, J.
Faergeman, K. Lin, and N. Rozenblyum, verifying this conjecture and
some related questions. However, the real focus for the talk will be
various starting points in the theory, with the hope that this helps
to give outsiders some feeling for what the subject is about.