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- W3124805950 abstract "This chapter explains an application of the theory developed in these lectures towards the problem of understanding integral models of local Shimura varieties. As a specific example, it resolves conjectures of Kudla-Rapoport-Zink and Rapoport-Zink, that two Rapoport-Zink spaces associated with very different PEL data are isomorphic. The basic reason is that the corresponding group-theoretic data are related by an exceptional isomorphism of groups, so such results follow once one has a group-theoretic characterization of Rapoport-Zink spaces. The interest in these conjectures comes from the observation of Kudla-Rapoport-Zink that one can obtain a moduli-theoretic proof of Čerednik's <italic>p</italic>-adic uniformization for Shimura curves using these exceptional isomorphisms. The chapter defines integral models of local Shimura varieties as v-sheaves." @default.
- W3124805950 created "2021-02-01" @default.
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- W3124805950 date "2020-05-26" @default.
- W3124805950 modified "2023-09-23" @default.
- W3124805950 title "Integral models of local Shimura varieties" @default.
- W3124805950 doi "https://doi.org/10.23943/princeton/9780691202082.003.0025" @default.
- W3124805950 hasPublicationYear "2020" @default.
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