Local theta correspondences and Langlands parameters for rigid inner twists

Fuente: arXiv
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Auteur principal: Kakuhama, Hirotaka
Format: Preprint
Publié: 2024
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author Kakuhama, Hirotaka
author_facet Kakuhama, Hirotaka
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2409_00805
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Local theta correspondences and Langlands parameters for rigid inner twists
Kakuhama, Hirotaka
Representation Theory
Number Theory
11F27, 22E50
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.
title Local theta correspondences and Langlands parameters for rigid inner twists
topic Representation Theory
Number Theory
11F27, 22E50
url https://arxiv.org/abs/2409.00805