Whittaker-Shintani functions for Fourier-Jacobi models on unitary groups
Representation Theory
2025-06-03 v3 Number Theory
Abstract
We state and prove a formula for the Whittaker-Shintani functions associated to Fourier-Jacobi models for p-adic unitary groups and general linear groups. These generalized spherical functions play a fundamental role in the proof of the Gan-Gross-Prasad conjecture for Fourier-Jacobi models. As an application we prove the unramified Ichino-Ikeda conjecture.
Keywords
Cite
@article{arxiv.2410.01991,
title = {Whittaker-Shintani functions for Fourier-Jacobi models on unitary groups},
author = {Paul Boisseau},
journal= {arXiv preprint arXiv:2410.01991},
year = {2025}
}
Comments
Version to appear in International Mathematics Research Notices