Central values of Asai L-functions and twisted Gan--Gross--Prasad conjecture
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915589155454976 |
|---|---|
| author | Lu, Weixiao Wang, Danielle Zhang, Zhiyu |
| author_facet | Lu, Weixiao Wang, Danielle Zhang, Zhiyu |
| contents | We study certain new relative trace formulas on (non-reductive) period integrals involving Weil representations, in the context of the relative Langlands program. We study normal representatives using Galois theory, and establish geometric decompositions of relative trace formulas using normal representatives for good test functions. By comparing global representatives, local distributions and orbital integrals, we prove the twisted Gan--Gross--Prasad (GGP) conjecture on Asai L-functions, in any dimension under some local assumptions, allowing ramifications of number fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_16356 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Central values of Asai L-functions and twisted Gan--Gross--Prasad conjecture Lu, Weixiao Wang, Danielle Zhang, Zhiyu Number Theory Representation Theory 11F67, 11F70, 22E55 We study certain new relative trace formulas on (non-reductive) period integrals involving Weil representations, in the context of the relative Langlands program. We study normal representatives using Galois theory, and establish geometric decompositions of relative trace formulas using normal representatives for good test functions. By comparing global representatives, local distributions and orbital integrals, we prove the twisted Gan--Gross--Prasad (GGP) conjecture on Asai L-functions, in any dimension under some local assumptions, allowing ramifications of number fields. |
| title | Central values of Asai L-functions and twisted Gan--Gross--Prasad conjecture |
| topic | Number Theory Representation Theory 11F67, 11F70, 22E55 |
| url | https://arxiv.org/abs/2509.16356 |