English

A linear AFL for quaternion algebras

Number Theory 2024-08-30 v2 Algebraic Geometry Representation Theory

Abstract

We prove new fundamental lemma and arithmetic fundamental lemma identities for general linear groups over quaternion division algebras. In particular, we verify the transfer conjeture and the arithmetic transfer conjecture from arXiv:2307.11716 in cases of Hasse invariant 1/2.

Keywords

Cite

@article{arxiv.2308.02458,
  title  = {A linear AFL for quaternion algebras},
  author = {Nuno Hultberg and Andreas Mihatsch},
  journal= {arXiv preprint arXiv:2308.02458},
  year   = {2024}
}

Comments

Minor revision, comments welcome!

R2 v1 2026-06-28T11:48:18.666Z