Arthur’s multiplicity formula for GSp 4 and restriction to Sp 4
[La formule de multiplicité d’Arthur pour GSp 4 et restriction à Sp 4 ]
Journal de l’École polytechnique — Mathématiques, Tome 6 (2019), pp. 469-535.

Nous donnons une preuve de la classification des représentations automorphes discrètes de GSp 4 expliquée dans [Art04], ainsi que de la compatibilité avec les correspondances de Langlands locales pour GSp 4 et Sp 4 .

We prove the classification of discrete automorphic representations of GSp 4 explained in [Art04], as well as a compatibility between the local Langlands correspondences for GSp 4 and Sp 4 .

Reçu le :
Accepté le :
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DOI : 10.5802/jep.99
Classification : 11F72, 11F46, 11F55
Keywords: Automorphic forms, trace formula, endoscopy, Arthur multiplicity formula, Siegel-Hilbert modular forms
Mot clés : Formes automorphes, formule des traces, endoscopie, formule de multiplicité d’Arthur, formes modulaires de Siegel-Hilbert
Toby Gee 1 ; Olivier Taïbi 2

1 Department of Mathematics, Imperial College London London SW7 2AZ, UK
2 CNRS et Unité de Mathématiques Pures et Appliquées, ENS de Lyon
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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     title = {Arthur{\textquoteright}s multiplicity formula for $\protect \mathbf{GSp}_4$ and restriction to $\protect \mathbf{Sp}_4$},
     journal = {Journal de l{\textquoteright}\'Ecole polytechnique {\textemdash} Math\'ematiques},
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Toby Gee; Olivier Taïbi. Arthur’s multiplicity formula for $\protect \mathbf{GSp}_4$ and restriction to $\protect \mathbf{Sp}_4$. Journal de l’École polytechnique — Mathématiques, Tome 6 (2019), pp. 469-535. doi : 10.5802/jep.99. https://jep.centre-mersenne.org/articles/10.5802/jep.99/

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