COMPARISON OF LOCAL RELATIVE CHARACTERS AND THE ICHINO–IKEDA CONJECTURE FOR UNITARY GROUPS

DOI10.1017/S1474748019000707WikidataQ122971153 ScholiaQ122971153MaRDI QIDQ5162232

Raphaël Beuzart-Plessis

Publication date: 2 November 2021

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.06538

zbMATH Keywords

unitary groupsrelative trace formulaautomorphic representationsIchino-Ikeda conjecturerelative characters

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (8)

The global Gan-Gross-Prasad conjecture for unitary groups: the endoscopic case ⋮ The Gross-Zagier-Zhang formula over function fields ⋮ 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 ⋮ Theta lifting and Langlands functoriality ⋮ Refined global Gan–Gross–Prasad conjecture for Fourier–Jacobi periods on symplectic groups ⋮ A fundamental lemma for the Hecke algebra: the Jacquet-Rallis case

Cites Work

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• On arithmetic fundamental lemmas
• 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
• Arithmetic subgroups of algebraic groups
• Classification and base change for discrete series of \(p\)-adic unitary groups
• Geometry of dual spaces of reductive groups (non-Archimedean case)
• Orbital integrals on p-adic groups: A proof of the Howe conjecture
• Special representations of reductive p-adic groups are not integrable
• Sur la classification des séries discrètes des groupes classiques \(p\)-adiques: paramètres de Langlands et exhaustivité. (On the classification of discrete series of classical \(p\)-adic groups: Langlands parameters and exhaustivity.)
• Generalizations of the Springer correspondence and cuspidal Langlands parameters
• On the cuspidal support of discrete series for \(p\)-adic quasisplit \(\mathrm{Sp}(N)\) and \(\mathrm{SO}(N)\)
• Absolute convergence of the spectral side of the Arthur trace formula for \(\text{GL}_n\)
• The local Langlands correspondence for \(\mathrm{GL}_n\) over \(p\)-adic fields
• A simple proof of Langlands conjectures for \(\text{GL}_n\) on a \(p\)-adic field
• On relative trace formulae: the case of Jacquet-Rallis
• Smooth Fréchet globalizations of Harish-Chandra modules
• 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
• On the formal degrees of square-integrable representations of odd special orthogonal and metaplectic groups
• The Gross-Prasad conjecture and local theta correspondence
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• 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
• Canonical Extensions of Harish-Chandra Modules to Representations of G
• Characters of Non-Connected, Reductive p-Abic Groups
• Introduction to Harmonic Analysis on Reductive P-adic Groups. (MN-23): Based on lectures by Harish-Chandra at The Institute for Advanced Study, 1971-73
• On Euler Products and the Classification of Automorphic Representations I
• Construction of discrete series for classical 𝑝-adic groups
• The trace class conjecture without the K-finiteness assumption
• Centre de Bernstein dual pour les groupes classiques
• Periods and harmonic analysis on spherical varieties
• La formule des traces locale tordue
• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• AST418 - A local trace formula for the Gan-Gross-Prasad conjecture for unitary groups: the archimedean case
• Endoscopic Classification of representations of Quasi-Split Unitary Groups
• Automorphic period and the central value of Rankin-Selberg L-function

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