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Article Dans Une Revue Duke Mathematical Journal Année : 2019

A Local Trace Formula for the Generalized Shalika Model

Résumé

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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Dates et versions

hal-01941350 , version 1 (30-11-2018)

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Raphaël Beuzart-Plessis, Chen Wan. A Local Trace Formula for the Generalized Shalika Model. Duke Mathematical Journal, 2019, 168 (7), pp.1303-1385. ⟨10.1215/00127094-2018-0064⟩. ⟨hal-01941350⟩
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