The affine Grassmannian and the Springer resolution in positive characteristic
Representation Theory
2019-02-20 v2
Abstract
An important result of Arkhipov-Bezrukavnikov-Ginzburg relates constructible sheaves on the affine Grassmannian to coherent sheaves on the dual Springer resolution. In this paper, we prove a positive-characteristic analogue of this statement, using the framework of "mixed modular sheaves" recently developed by the first author and Riche. As an application, we deduce a relationship between parity sheaves on the affine Grassmannian and Bezrukavnikov's "exotic t-structure" on the Springer resolution.
Keywords
Cite
@article{arxiv.1408.7050,
title = {The affine Grassmannian and the Springer resolution in positive characteristic},
author = {Pramod N. Achar and Laura Rider},
journal= {arXiv preprint arXiv:1408.7050},
year = {2019}
}
Comments
50 pages; with an appendix joint with Simon Riche. v2: minor corrections