30.05.2018

*Dennis Gaitsgory (Harvard University)*

Joint Chebyshev Lab and PDMI RAS Colloquium

Thursday 31 May 17:00 Marble Hall (PDMI RAS, 27, Fontanka river embankment)

The field of “Geometric Langlands Correspondence” was started by Drinfeld in the early 1980’s as a way to prove the Galois=>Automorphic direction in the classical Langlands program in the case of function fields. The initial observation is that if our function field F is the field of rational functions on a curve X over F_q, then the automorphic space attached to F and a group G can be thought of as the set of F_q-points of the moduli space Bun_G(X) that classifies G-bundles on X. Drinfeld’s idea is that one can use Grothendieck’s sheaf=>functions dictionary to construct automorphic functions starting from l-adic sheaves on Bun_G(X). In the talk we will give an introduction to these ideas, and how the various familiar objects in the theory of automorphic functions play out in this enhanced geometric context.

03.08.2018

03.06.2018

10.05.2018