The stack of spherical Langlands parameters
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914119834140672 |
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| author | Hove, Thibaud van den |
| author_facet | Hove, Thibaud van den |
| contents | For a reductive group over a nonarchimedean local field, we define the stack of spherical Langlands parameters, using the inertia-invariants of the Langlands dual group. This generalizes the stack of unramified Langlands parameters in case the group is unramified. We then use this stack to deduce the Eichler--Shimura congruence relations for Hodge type Shimura varieties, without restrictions on the ramification. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_09522 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The stack of spherical Langlands parameters Hove, Thibaud van den Number Theory Representation Theory For a reductive group over a nonarchimedean local field, we define the stack of spherical Langlands parameters, using the inertia-invariants of the Langlands dual group. This generalizes the stack of unramified Langlands parameters in case the group is unramified. We then use this stack to deduce the Eichler--Shimura congruence relations for Hodge type Shimura varieties, without restrictions on the ramification. |
| title | The stack of spherical Langlands parameters |
| topic | Number Theory Representation Theory |
| url | https://arxiv.org/abs/2409.09522 |