English

Finite Langlands correspondence

Number Theory 2025-08-22 v1 Representation Theory

Abstract

We construct the Langlands correspondence for connected reductive groups over finite fields, which we call the finite Langlands correspondence. We discuss also its relation with the categorical local Langlands correspondence.

Keywords

Cite

@article{arxiv.2508.15101,
  title  = {Finite Langlands correspondence},
  author = {Naoki Imai},
  journal= {arXiv preprint arXiv:2508.15101},
  year   = {2025}
}

Comments

18 pages

R2 v1 2026-07-01T04:59:12.111Z