Pith. sign in

REVIEW 2 cited by

Modular affine Hecke category and regular unipotent centralizer

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 2005.05583 v2 pith:DZJ2TMHI submitted 2020-05-12 math.RT

R. Bezrukavnikov , S. Riche , L. Rider This is my paper · ORCID
classification math.RT
keywords affinegeometriccategorycentralizergroupheckelanglandsreductive
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

In this paper we provide, under some mild explicit assumptions, a geometric description of the category of representations of the centralizer of a regular unipotent element in a reductive algebraic group in terms of perverse sheaves on the Langlands dual affine flag variety. This equivalence is suggested and motivated by the "geometric Langlands" philosophy, and is used in later work to construct equivalences of categories relating various geometric incarnations of the affine Hecke algebra of the given reductive group.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

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

  1. Tame local Betti geometric Langlands

    math.RT 2025-01 conditional novelty 7.0 of 10

    The authors prove the tame local Betti geometric Langlands correspondence, a monoidal equivalence between ind-coherent sheaves on a Steinberg stack and nilpotent-singular-support Betti sheaves on a monodromic Hecke stack.

  2. The universal monodromic Arkhipov--Bezrukavnikov equivalence

    math.RT 2025-01 conditional novelty 7.0 of 10

    The universal monodromic Arkhipov-Bezrukavnikov equivalence identifies universal monodromic Iwahori-Whittaker sheaves with quasicoherent sheaves on the Grothendieck alteration, plus a monoidal bi-Whittaker equivalence.

Pith tools