Semi-infinite parabolic IC-sheaf II: the Ran space version
Representation Theory
2025-08-05 v1
Abstract
This paper is a sequel to arXiv:2310.0638. Let G be a split reductive group. We define the parabolic semi-infinite category on the Ran version of the affine Grassmanian Gr_{G,Ran}. We study the semi-infinite parabolic IC-sheaf in this category. We provide several descriptions of this object, one as certain colimit, another as an intermediate extension in certain category. We relate the global and local semi-infinite categories of sheaves. We also relate the intersection cohomology sheaf of the Drinfeld compactification of Bun_P with the semi-infinite parabolic IC-sheaf.
Cite
@article{arxiv.2508.01527,
title = {Semi-infinite parabolic IC-sheaf II: the Ran space version},
author = {Gurbir Dhillon and Sergey Lysenko},
journal= {arXiv preprint arXiv:2508.01527},
year = {2025}
}
Comments
124p