Whittaker-Shintani functions for Fourier-Jacobi models on unitary groups
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909630758649856 |
|---|---|
| author | Boisseau, Paul |
| author_facet | Boisseau, Paul |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_01991 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Whittaker-Shintani functions for Fourier-Jacobi models on unitary groups Boisseau, Paul Representation Theory Number Theory 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. |
| title | Whittaker-Shintani functions for Fourier-Jacobi models on unitary groups |
| topic | Representation Theory Number Theory |
| url | https://arxiv.org/abs/2410.01991 |