Twisted Whittaker model and factorizable sheaves
Representation Theory
2008-03-27 v4 Quantum Algebra
Abstract
Let G be a reductive group. The geometric Satake equivalence realized the category of representations of the Langlands dual group ^LG in terms of spherical perverse sheaves (or D-modules) on the affine Grassmannian Gr_G=G((t))/G[[t]] of the original group G. In the present paper we perform a first step in realizing the category of representations of the quantum group corresponding to ^LG in terms of the geometry of Gr_G. The idea of the construction belongs to Jacob Lurie.
Cite
@article{arxiv.0705.4571,
title = {Twisted Whittaker model and factorizable sheaves},
author = {Dennis Gaitsgory},
journal= {arXiv preprint arXiv:0705.4571},
year = {2008}
}