Semi-infinite parabolic IC-sheaf

G. Dhillon; S. Lysenko

Semi-infinite parabolic IC-sheaf

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2310.06386 v4 pith:WU6UZU2F submitted 2023-10-10 math.RT

G. Dhillon , S. Lysenko This is my paper · ORCID

classification math.RT

keywords parabolicsemi-infiniteic-sheafrelatesheavesaffinebabycategory

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original 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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Parabolic geometric Eisenstein series and constant term functors
math.RT 2025-07 conditional novelty 8.0 of 10

This paper proves that parabolic Jacquet functors on Whittaker categories match restriction and Lie algebra cohomology of representations under the geometric Casselman-Shalika equivalence.

Pith tools