Multiplicities for Strongly Tempered Spherical Varieties
Representation Theory
2023-08-23 v2 Number Theory
Abstract
In this paper, we study the local multiplicity of 10 strongly tempered spherical varieties. We will formulate a uniform epsilon dichotomy conjecture for all these models regarding the unique distinguished element in tempered -packets. Then we will prove this conjecture in many cases, including all the Archimedean cases.
Keywords
Cite
@article{arxiv.2204.07977,
title = {Multiplicities for Strongly Tempered Spherical Varieties},
author = {Chen Wan and Lei Zhang},
journal= {arXiv preprint arXiv:2204.07977},
year = {2023}
}
Comments
116 pages. All comments are welcome