Generalised Whittaker models as instances of relative Langlands duality II: Plancherel density and global periods
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911585359888384 |
|---|---|
| author | Gan, Wee Teck Jun, Bryan Wang Peng |
| author_facet | Gan, Wee Teck Jun, Bryan Wang Peng |
| contents | In an earlier paper of the authors, a general family of instances of the relative Langlands duality of Ben-Zvi-Sakellaridis-Venkatesh [BZSV] were proposed and studied in the setting of branching problems for smooth representations. In this paper, we show the numerical conjectures of [BZSV] for the local Plancherel density, as well as an application to their conjectures on global periods, for this general family of instances. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_06624 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalised Whittaker models as instances of relative Langlands duality II: Plancherel density and global periods Gan, Wee Teck Jun, Bryan Wang Peng Number Theory Representation Theory 22E50, 11F70 In an earlier paper of the authors, a general family of instances of the relative Langlands duality of Ben-Zvi-Sakellaridis-Venkatesh [BZSV] were proposed and studied in the setting of branching problems for smooth representations. In this paper, we show the numerical conjectures of [BZSV] for the local Plancherel density, as well as an application to their conjectures on global periods, for this general family of instances. |
| title | Generalised Whittaker models as instances of relative Langlands duality II: Plancherel density and global periods |
| topic | Number Theory Representation Theory 22E50, 11F70 |
| url | https://arxiv.org/abs/2401.06624 |