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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2410.18392 |
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| _version_ | 1866915578090881024 |
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| author | Cai, Li Fan, Yangyu Lai, Shilin |
| author_facet | Cai, Li Fan, Yangyu Lai, Shilin |
| contents | We explain how the unramified Plancherel formula in the relative Langlands program gives a natural way of constructing test vectors which satisfy the tame norm relations of an Euler system. This uniformly recovers many of the known Euler systems, and in the twisted Friedberg--Jacquet setting, we produce a new split anticyclotomic Euler system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_18392 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Euler systems and relative Satake isomorphism Cai, Li Fan, Yangyu Lai, Shilin Number Theory We explain how the unramified Plancherel formula in the relative Langlands program gives a natural way of constructing test vectors which satisfy the tame norm relations of an Euler system. This uniformly recovers many of the known Euler systems, and in the twisted Friedberg--Jacquet setting, we produce a new split anticyclotomic Euler system. |
| title | Euler systems and relative Satake isomorphism |
| topic | Number Theory |
| url | https://arxiv.org/abs/2410.18392 |