On relative trace formulae: the case of Jacquet-Rallis

DOI10.1007/s40306-018-00312-3zbMath1435.11083OpenAlexW2921750009WikidataQ128247384 ScholiaQ128247384MaRDI QIDQ2000813

Pierre-Henri Chaudouard

Publication date: 28 June 2019

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-018-00312-3

zbMATH Keywords

relative trace formulaorbital integralsLanglands programGan-Gross-Prasad conjectures

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items (4)

A new proof of the Jacquet-Rallis fundamental lemma ⋮ COMPARISON OF LOCAL RELATIVE CHARACTERS AND THE ICHINO–IKEDA CONJECTURE FOR UNITARY GROUPS ⋮ Plancherel formula for \(\mathrm{GL}_n(F)\setminus \mathrm{GL}_n(E)\) and applications to the Ichino-Ikeda and formal degree conjectures for unitary groups ⋮ Le transfert singulier pour la formule des traces de Jacquet–Rallis

Cites Work

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• A mild Tchebotarev theorem for GL\((n)\)
• Fourier transform and the global Gan-Gross-Prasad conjecture for unitary groups
• Multiplicity one theorems
• The fundamental Lemma of Jacquet and Rallis. Appendix by Julia Gordon
• Multiplicity one theorems: the Archimedean case
• A trace formula for reductive groups. I: Terms associated to classes in G(Q)
• On the functional equations satisfied by Eisenstein series
• Spectral decomposition and Eisenstein series
• The trace formula for Lie algebras.
• On distinguished square-integrable representations for Galois pairs and a conjecture of Prasad
• On the smooth transfer conjecture of Jacquet-Rallis for \(n=3\)
• A partial analog of the integrability theorem for distributions on \(p\)-adic spaces and applications
• Coarse relative trace formulae of Jacquet-Rallis
• On the periods of automorphic forms on special orthogonal groups and the Gross-Prasad conjecture
• On the global Gan-Gross-Prasad conjecture for unitary groups: approximating smooth transfer of Jacquet-Rallis
• Conditional base change for unitary groups
• La conjecture locale de Gross-Prasad pour les représentations tempérées des groupes unitaires
• The Refined Gross–Prasad Conjecture for Unitary Groups
• Endoscopie et conjecture locale raffinée de Gan–Gross–Prasad pour les groupes unitaires
• Rankin-Selberg Convolutions
• Twisted tensors and Euler products
• LA VARIANTE INFINITÉSIMALE DE LA FORMULE DES TRACES DE JACQUET-RALLIS POUR LES GROUPES LINÉAIRES
• Periods and harmonic analysis on spherical varieties
• La Formule des Traces Tordue d’après le Friday Morning Seminar
• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• Endoscopic Classification of representations of Quasi-Split Unitary Groups
• La Variante infinitésimale de la formule des traces de Jacquet-Rallis pour les groupes unitaires
• Automorphic period and the central value of Rankin-Selberg L-function
• Le transfert singulier pour la formule des traces de Jacquet–Rallis

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