The global Gan--Gross--Prasad conjecture for Fourier--Jacobi periods on unitary groups II: Comparison of the relative trace formulae

Paul Boisseau; Weixiao Lu; Hang Xue

doi:10.48550/arxiv.2601.01727

The global Gan--Gross--Prasad conjecture for Fourier--Jacobi periods on unitary groups II: Comparison of the relative trace formulae

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Paul Boisseau, Weixiao Lu, Hang Xue

DOI: 10.48550/arxiv.2601.01727

Cited by: 0

Abstract

This is the second of a series of three papers where we prove the Gan--Gross--Prasad conjecture for Fourier--Jacobi periods on unitary groups and an Ichino--Ikeda type refinement. Our strategy is based on the comparison of relative trace formulae formulated by Liu. The goal of this second paper is to compare the two relative trace formulae.

Fields of Study & Subjects

Advanced Algebra and Geometry Geometry and complex manifolds Quantum chaos and dynamical systems

Publication details

Journal / source: arXiv (Cornell University)
Publication date: 5 January 2026
Document type: Preprint