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15 May 2019 A local trace formula for the generalized Shalika model
Raphaël Beuzart-Plessis, Chen Wan
Duke Math. J. 168(7): 1303-1385 (15 May 2019). DOI: 10.1215/00127094-2018-0064

Abstract

We study a local multiplicity problem related to so-called generalized Shalika models. By establishing a local trace formula for these kinds of models, we are able to prove a multiplicity formula for discrete series. As a result, we can show that these multiplicities are, for discrete series, invariant under the local Jacquet–Langlands correspondence and are related to local exterior square L-functions.

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Raphaël Beuzart-Plessis. Chen Wan. "A local trace formula for the generalized Shalika model." Duke Math. J. 168 (7) 1303 - 1385, 15 May 2019. https://doi.org/10.1215/00127094-2018-0064

Information

Received: 19 January 2018; Revised: 2 November 2018; Published: 15 May 2019
First available in Project Euclid: 27 April 2019

zbMATH: 07078885
MathSciNet: MR3953435
Digital Object Identifier: 10.1215/00127094-2018-0064

Subjects:
Primary: 22E50
Secondary: 11F70

Rights: Copyright © 2019 Duke University Press

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Vol.168 • No. 7 • 15 May 2019
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