Base Change Fundamental Lemma for Central Elements in Depth-zero Hecke Algebras over Local Function Fields

Weimin Jiang

Base Change Fundamental Lemma for Central Elements in Depth-zero Hecke Algebras over Local Function Fields

Representation Theory 2026-07-11 v1

Authors: Weimin Jiang

Abstract

Let $G$ be an unramified group over a local function field of characteristic $p>0$ . This article introduces an abstract norm map between the twisted conjugacy classes and conjugacy classes of $G$ in the positive characteristics setting, applies the process of stabilization of (twisted) trace formula and proves the corresponding base change fundamental lemma for regular semisimple elements.

Cite

@article{arxiv.2607.10073,
  title  = {Base Change Fundamental Lemma for Central Elements in Depth-zero Hecke Algebras over Local Function Fields},
  author = {Weimin Jiang},
  journal= {arXiv preprint arXiv:2607.10073},
  year   = {2026}
}

Comments

40 pages. arXiv admin note: text overlap with arXiv:1012.4968 by other authors