Semi-infinite parabolic IC-sheaf
Representation Theory
2025-07-08 v3
Abstract
Let G be a connected reductive group, P its parabolic subgroup. We consider the parabolic semi-infinite category of sheaves on the affine Grassmanian of G and construct the parabolic version of the semi-infinite IC-sheaf of each orbit. We establish some of its properties and relate it to sheaves on the Drinfeld compactification of the moduli stack Bun_P of P-torsors on a curve. We also relate the parabolic semi-infinite IC-sheaf with the dual baby Verma object on the spectral side.
Keywords
Cite
@article{arxiv.2310.06386,
title = {Semi-infinite parabolic IC-sheaf},
author = {G. Dhillon and S. Lysenko},
journal= {arXiv preprint arXiv:2310.06386},
year = {2025}
}
Comments
93p; a mistake made in version 2 is corrected