Une formule intégrale reliée à la conjecture locale de Gross–Prasad

DOI10.1112/S0010437X10004744zbMath1200.22010arXiv0902.1875WikidataQ123360668 ScholiaQ123360668MaRDI QIDQ4930557

Jean-Loup Waldspurger

Publication date: 29 September 2010

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.1875

zbMATH Keywords

local Gross-Prasad conjecturerepresentations of special orthogonal groups

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (26)

Multiplicity theorems modulo \(p\) for GL\(_2\)(Q\(_p\)) ⋮ On a multiplicity formula for spherical varieties ⋮ Multiplicity one theorems ⋮ Descents of unipotent cuspidal representations of finite classical groups ⋮ On the Gan-Gross-Prasad problem for finite unitary groups ⋮ On the Gan-Gross-Prasad conjecture for \(U(p, q)\) ⋮ Local theta correspondence of tempered representations and Langlands parameters ⋮ On the local Langlands correspondence and Arthur conjecture for even orthogonal groups ⋮ Relative trace formulae and the Gan-Gross-Prasad conjectures ⋮ Theta lifting and Langlands functoriality ⋮ Descents of unipotent representations of finite unitary groups ⋮ Multiplicity one theorem for the Ginzburg–Rallis model: The tempered case ⋮ Fourier transform and the global Gan-Gross-Prasad conjecture for unitary groups ⋮ Recent progress on the Gross-Prasad conjecture ⋮ Representations of metaplectic groups I: epsilon dichotomy and local Langlands correspondence ⋮ The local theta correspondence and the local Gan-Gross-Prasad conjecture for the symplectic-metaplectic case ⋮ Local root numbers and spectrum of the local descents for orthogonal groups: \(p\)-adic case ⋮ Representations and quasi-characters of level \(0\); endoscopy ⋮ A local trace formula for the generalized Shalika model ⋮ Refined global Gross-Prasad conjecture on special Bessel periods and Böcherer's conjecture ⋮ On distinguished square-integrable representations for Galois pairs and a conjecture of Prasad ⋮ The Gross-Prasad conjecture and local theta correspondence ⋮ On the Gan-Gross-Prasad problem for finite classical groups ⋮ The local Gan-Gross-Prasad conjecture for \(U(n + 1) \times U(n)\): a non-generic case ⋮ On a pairing of Goldberg-Shahidi for even orthogonal groups ⋮ A Local Relative Trace Formula for the Ginzburg-Rallis Model: The Geometric Side.

Cites Work

• On Irreducible Representations of So_2n+1 × So_2m
• The Invariant Trace Formula. I. Local Theory

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