Work

Semi-infinite parabolic IC-sheaf

Year: 2023

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2310.06386

Authors: Dhillon, G., Lysenko, S.

Institutions: University of California, Los Angeles, Institut Élie Cartan de Lorraine, Université de Lorraine

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: PostDoctoral Research Fellowship

OpenAlex ID: W4387561032

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