Towards a theory of local Shimura varieties
This is a survey article that advertises the idea that there should exist a theory of p-adic local analogues of Shimura varieties. Prime examples are the towers of rigid-analytic spaces defined by Rapoport–Zink spaces, and we also review their theory in the light of this idea. We also discuss conjec...
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| Dokumenttypen: | Artikel |
| Erscheinungsdatum: | 2014 |
| Publikation in MIAMI: | 17.10.2014 |
| Datum der letzten Änderung: | 06.11.2015 |
| Quelle: | Münster Journal of Mathematics, 7 (2014) 1, S. 273-326 |
| Angaben zur Ausgabe: | [Electronic ed.] |
| Fachgebiet (DDC): | 510: Mathematik |
| Lizenz: | InC 1.0 |
| Sprache: | English |
| Format: | PDF-Dokument |
| URN: | urn:nbn:de:hbz:6-22359593059 |
| Permalink: | https://nbn-resolving.de/urn:nbn:de:hbz:6-22359593059 |
| Onlinezugriff: | mjm_vol_7_12.pdf |
This is a survey article that advertises the idea that there should exist a theory of p-adic local analogues of Shimura varieties. Prime examples are the towers of rigid-analytic spaces defined by Rapoport–Zink spaces, and we also review their theory in the light of this idea. We also discuss conjectures on the ℓ-adic cohomology of local Shimura varieties.