English

Arithmetic transfer for inner forms of $GL_{2n}$

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

Abstract

We formulate Guo--Jacquet type fundamental lemma conjectures and arithmetic transfer conjectures for inner forms of GL2nGL_{2n}. Our main results confirm these conjectures for division algebras of invariant 1/41/4 and 3/43/4.

Keywords

Cite

@article{arxiv.2307.11716,
  title  = {Arithmetic transfer for inner forms of $GL_{2n}$},
  author = {Qirui Li and Andreas Mihatsch},
  journal= {arXiv preprint arXiv:2307.11716},
  year   = {2024}
}

Comments

Minor revision, comments welcome!

R2 v1 2026-06-28T11:37:10.083Z