雅各賦-朗加德對應的算術不變量
数论
2026-04-21 v5 表示论
摘要
我們描述了在雅各賦-朗加德對應下,局部平坦率與Tamagawa測量的局部-全局相容性。我們應用於離散群模組密度的概念,該概念概括了離散群上的維數。我們證明了全域雅各賦-朗加德對應保留了主幹算術群上的密度。
关键词
引用
@article{arxiv.2405.18372,
title = {An Arithmetic Invariant of the Jacquet-Langlands correspondence},
author = {Jun Yang},
journal= {arXiv preprint arXiv:2405.18372},
year = {2026}
}
备注
This version has been shortened; the representation-theoretic and operator-algebraic content has been moved to arXiv:2503.13929 (published in Communications in Mathematical Physics, Volume 407, Article 100, 2026)