Higher nearby cycles and central sheaves on affine flag varieties
Algebraic Geometry
2024-02-01 v2 Representation Theory
Abstract
In this paper we generalize and study a notion of (unipotent) nearby cycles over a higher dimensional base based on Be\u{i}linson's description of unipotent nearby cycles, following an idea of Gaitsgory. This generalization, in the setting of affine Grassmannians, is required in recent work of Bezrukavnikov-Braverman-Finkelberg-Kazhdan.
Cite
@article{arxiv.2305.11696,
title = {Higher nearby cycles and central sheaves on affine flag varieties},
author = {Pramod N. Achar and Simon Riche},
journal= {arXiv preprint arXiv:2305.11696},
year = {2024}
}
Comments
33 pages. v2: added lots of details, especially on \'etale sheaves