Rapoport-Zink spaces and close p-adic fields.

Abstract: Rapoport-Zink spaces are moduli spaces of p-divisible groups (with extra structure). These are p-adic analogues of integral models of Shimura varieties. Their function field versions were introduced by Hartl-Viehmann. I want to explain a construction approximating Hartl-Viehmann spaces via Rapoport-Zink spaces using the philosophy of close p-adic fields. If time permits I want to sketch how one may use this construction to deduce the Arithmetic Fundamental Lemma in the function field case. This is joint work, partly in progress, with Andreas Mihatsch.

algebraic geometrynumber theory

Audience: researchers in the topic

FGC-HRI-IPM Number Theory Webinars

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