Locally analytic completed cohomology
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915924487962624 |
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| author | Camargo, J. E. Rodríguez |
| author_facet | Camargo, J. E. Rodríguez |
| contents | We compute the geometric Sen operator for arbitrary Shimura varieties in terms of equivariant vector bundles of flag varieties and the Hodge-Tate period map. As an application, we obtain the rational vanishing of completed cohomology in the Calegari-Emerton conjectures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_01057 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Locally analytic completed cohomology Camargo, J. E. Rodríguez Number Theory We compute the geometric Sen operator for arbitrary Shimura varieties in terms of equivariant vector bundles of flag varieties and the Hodge-Tate period map. As an application, we obtain the rational vanishing of completed cohomology in the Calegari-Emerton conjectures. |
| title | Locally analytic completed cohomology |
| topic | Number Theory |
| url | https://arxiv.org/abs/2209.01057 |