[1109] Geometric Langlands as an equivalence of categories
Appears in collection : Bourbaki - Janvier 2016
Classical Langlands correspondence aims to parameterize irreducible automorphic representations in terms of homomorphisms of the Galois group into the Langlands dual group. In this talk we will explain how, in the geometric situation, Langlands correspondence can be viewed as an equivalence of certain derived categories : D-modules on the automorphic side and quasi-coherent sheaves on the Galois side. The proposed proof of such equivalence combines methods from the classical theory of automorphic functions as well as modern ideas from mathematical physics and higher category theory.
