Local theta correspondences and Langlands parameters for rigid inner twists
Representation Theory
2025-04-16 v2 Number Theory
Abstract
In this paper, we formulate a conjecture that describes the local theta correspondences in terms of the local Langland correspondences for rigid inner twists, which contain the correspondences for quaternionic dual pairs. Moreover, we verify the conjecture holds in some specific cases.
Keywords
Cite
@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}
}
Comments
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