Pith. sign in

REVIEW 1 cited by

A Langlands duality of elliptic Hecke algebras

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 2310.13460 v1 pith:BT3WKKK4 submitted 2023-10-20 math.RT math.AGmath.QA

Gufang Zhao , Changlong Zhong This is my paper · ORCID
classification math.RTmath.AGmath.QA
keywords ellipticheckealgebraaffineassociatedcategorydatumlanglands
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

Associated to any root datum, there is an elliptic affine Hecke algebra defined by Ginzburg, Kapranov, and Vasserot. In this study, we establish a Fourier-Mukai functor from the representation category of the elliptic affine Hecke algebra to the corresponding category associated with the Langlands dual root datum. To achieve this connection, we employ the elliptic Hecke algebra with dynamical parameters as an intermediary.

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. OpenAlex reports about 95 citations worldwide. Full citation record

  1. Motivic Segre classes of Schubert cells and the connective formal group law

    math.CO 2026-05 unverdicted novelty 6.0 of 10

    A β-deformed version of motivic Segre classes of Schubert cells is constructed via the connective formal group law, with rational representatives via lattice models and structure constants via Knutson-Tao puzzles prov...

Pith tools