Semiinfinite sheaves on affine flag varieties
Representation Theory
2025-03-25 v1
Abstract
We study a category of semiinfinite sheaves on the affine flag variety of a connected reductive algebraic group, with coefficients in a field of arbitrary characteristic, generalizing some results of Gaitsgory and showing that this category behaves like familiar categories of sheaves on flag varieties in many respects. Our interest is motivated by expected relations with representation theory of the Lie algebra of the Langlands dual reductive group.
Cite
@article{arxiv.2503.18412,
title = {Semiinfinite sheaves on affine flag varieties},
author = {Pramod N. Achar and Gurbir Dhillon and Simon Riche},
journal= {arXiv preprint arXiv:2503.18412},
year = {2025}
}
Comments
61 pages