Multiplicities for Strongly Tempered Spherical Varieties

Published 17 Apr 2022 in math.RT and math.NT | (2204.07977v2)

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 $L$-packets. Then we will prove this conjecture in many cases, including all the Archimedean cases.

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