Perverse sheaves on a Loop group and Langlands' duality
alg-geom
2008-02-03 v4 High Energy Physics - Theory
Algebraic Geometry
Quantum Algebra
q-alg
Abstract
An intrinsic construction of the tensor category of finite dimensional representations of the Langlands dual group of G in terms of a tensor category of perverse sheaves on the loop group, LG, is given. The construction is applied to the study of the topology of the affine Grassmannian of G and to establishing a Langlands type correspondence for "automorphic" sheaves on the moduli space of G-bundles.
Cite
@article{arxiv.alg-geom/9511007,
title = {Perverse sheaves on a Loop group and Langlands' duality},
author = {Victor Ginzburg},
journal= {arXiv preprint arXiv:alg-geom/9511007},
year = {2008}
}
Comments
89 pages, several LaTeX errors fixed