The Geometric Langlands Correspondence
Presenter
September 2, 2014
Keywords:
- compact Riemann surface
- general linear group case of geometric Langlands correspondence
MSC:
- 22E57
- 22E47
- 22Exx
- 14D21
- 14H60
Abstract
There are two sides to the geometric Langlands conjecture: the automorphic side and the Galois side, where the conjecture is precisely the correspondence theorem between the two completely distinct objects.
We will explore this correspondence in the setting for rank N vector bundles on X; i.e. Bun = Bun_(GL_N) (X).