Perverse sheaves on affine flags and nilpotent cone of the Langlands dual group
Representation Theory
2007-09-04 v4 Algebraic Geometry
Abstract
In math.RT/0201073 we constructed an equivalence between the derived category of equivariant coherent sheaves on the cotangent bundle to the flag variety of a simple algebraic group and a (quotient of) the category of constructible sheaves on the affine flag variety of the Langlands dual group. Below we prove certain properties of this equivalence; provide a similar ``Langlands dual'' description for the category of equivariant coherent sheaves on the nilpotent cone; and deduce some conjectures by Lusztig and Ostrik.
Keywords
Cite
@article{arxiv.math/0201256,
title = {Perverse sheaves on affine flags and nilpotent cone of the Langlands dual group},
author = {Roman Bezrukavnikov},
journal= {arXiv preprint arXiv:math/0201256},
year = {2007}
}
Comments
This is a continuation of math.RT/0201073. 13 pages; some corrections