A relative trace formula identity for non-tempered spherical varieties
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908690414567424 |
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| author | Wan, Chen |
| author_facet | Wan, Chen |
| contents | In this paper, motivated by some previous works in residue method and the recent theory of the relative Langlands duality, we prove a relative trace formula identity that compares the period integral of non-tempered spherical varieties with the period integral of a tempered spherical varieties associated to a Levi subgroup. This allows us to incorporate numerous relative trace formula comparisons studied during the last four decades under the relative Langlands duality framework. We will also propose a conjectural comparison for general non-tempered Hamiltonian spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_03320 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A relative trace formula identity for non-tempered spherical varieties Wan, Chen Number Theory Representation Theory In this paper, motivated by some previous works in residue method and the recent theory of the relative Langlands duality, we prove a relative trace formula identity that compares the period integral of non-tempered spherical varieties with the period integral of a tempered spherical varieties associated to a Levi subgroup. This allows us to incorporate numerous relative trace formula comparisons studied during the last four decades under the relative Langlands duality framework. We will also propose a conjectural comparison for general non-tempered Hamiltonian spaces. |
| title | A relative trace formula identity for non-tempered spherical varieties |
| topic | Number Theory Representation Theory |
| url | https://arxiv.org/abs/2512.03320 |