The global Gan-Gross-Prasad conjecture for unitary groups: the endoscopic case

DOI10.1007/s10240-021-00129-1OpenAlexW3041468189WikidataQ113904716 ScholiaQ113904716MaRDI QIDQ2141718

Raphaël Beuzart-Plessis, Michał Zydor, Pierre-Henri Chaudouard

Publication date: 25 May 2022

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.05601

Mathematics Subject Classification ID

Algebraic number theory: global fields (11Rxx) Discontinuous groups and automorphic forms (11Fxx) Lie groups (22Exx)

Related Items

Isolation of the cuspidal spectrum: the function field case ⋮ Spectral aspect subconvex bounds for \(U_{n+1} \times U_n\) ⋮ On the spectral theorem of Langlands ⋮ Relative trace formulae and the Gan-Gross-Prasad conjectures

Cites Work

• Fourier transform and the global Gan-Gross-Prasad conjecture for unitary groups
• Distinction by the quasi-split unitary group
• The fundamental Lemma of Jacquet and Rallis. Appendix by Julia Gordon
• On representations distinguished by unitary groups
• Generalized Harish-Chandra descent, Gelfand pairs, and an Archimedean analog of Jacquet-Rallis's theorem. With an appendix by the authors and Eitan Sayag.
• A new proof of the Jacquet-Rallis fundamental lemma
• On the inner product of truncated Eisenstein series
• The trace formula in invariant form
• A trace formula for reductive groups. I: Terms associated to classes in G(Q)
• On the functional equations satisfied by Eisenstein series
• A decomposition of spaces of automorphic forms, and the Eisenstein cohomology of arithmetic groups
• Spectral decomposition and Eisenstein series
• On the motive of a reductive group
• A proof of Kirillov's conjecture
• Periods of Eisenstein series: the Galois case
• On the singularities of residual intertwining operators
• Periods of automorphic forms: the case of \((\mathrm{U}_{n+1}\times \mathrm{U}_{n},\mathrm{U}_{n})\)
• A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
• Absolute convergence of the spectral side of the Arthur trace formula for \(\text{GL}_n\)
• Isolation of cuspidal spectrum, with application to the Gan-Gross-Prasad conjecture
• Smooth Fréchet globalizations of Harish-Chandra modules
• 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
• Arthur parameters and cuspidal automorphic modules of classical groups
• Coarse relative trace formulae of Jacquet-Rallis
• On the support of Plancherel measure
• On the global Gan-Gross-Prasad conjecture for unitary groups: approximating smooth transfer of Jacquet-Rallis
• A note on the Kirillov model for representations of \(\mathrm{GL}_n(\mathbb{C})\)
• Algebraic functions with universal discriminant manifolds
• The Refined Gross–Prasad Conjecture for Unitary Groups
• Rankin-Selberg Convolutions
• Introduction to the Schwartz Space of T\G
• Le spectre résiduel de ${\rm GL}(n)$
• Canonical Extensions of Harish-Chandra Modules to Representations of G
• A measure on the Unipotent Variety
• Artin $L$-functions and normalization of intertwining operators
• Twisted tensors and Euler products
• On Certain L-Functions
• On Euler Products and the Classification of Automorphic Representations I
• On Euler Products and the Classification of Automorphic Forms II
• Periods of automorphic forms
• Some results on reducibilty for unitary groups and local Asai L-functions.
• Harmonic analysis in weighted L2-spaces
• LA VARIANTE INFINITÉSIMALE DE LA FORMULE DES TRACES DE JACQUET-RALLIS POUR LES GROUPES LINÉAIRES
• On the analytic properties of intertwining operators I: global normalizing factors
• 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
• Special values of L-functions and the refined Gan-Gross-Prasad conjecture
• AST418 - A local trace formula for the Gan-Gross-Prasad conjecture for unitary groups: the archimedean case
• COMPARISON OF LOCAL RELATIVE CHARACTERS AND THE ICHINO–IKEDA CONJECTURE FOR UNITARY GROUPS
• Endoscopic Classification of representations of Quasi-Split Unitary Groups
• Periods of automorphic forms: the case of
• 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
• ON THE FINE SPECTRAL EXPANSION OF JACQUET’S RELATIVE TRACE FORMULA
• Produits tensoriels topologiques et espaces nucléaires
• Le transfert singulier pour la formule des traces de Jacquet–Rallis
• Generic representations for the unitary group in three variables
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item