刚性内扭曲的局部 theta 对应与 Langlands 参数
表示论
2025-04-16 v2 数论
摘要
本文提出一个猜想，用刚性内扭曲的局部 Langlands 对应来描述局部 theta 对应，其中包含了四元数对偶对的对应。此外，我们验证了该猜想在某些特定情形下成立。
引用
@article{arxiv.2409.00805,
title = {Local theta correspondences and Langlands parameters for rigid inner twists},
author = {Hirotaka Kakuhama},
journal= {arXiv preprint arXiv:2409.00805},
year = {2025}
}
备注
In version 1, the author pointed out an error in a paper [Ike19] of Ikematsu. However, it turned out that the pointing is incorrect. I would like to take this opportunity to apologize