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Supersingular Loci of Some Unitary Shimura Varieties

Maria Fox (Oregon)
Tuesday, February 4, 2020 - 11:00am to 11:50am
PDL C-401

 Unitary Shimura varieties are moduli spaces of abelian varieties with extra structure. Rapoport-Zink spaces (moduli spaces of p-divisible groups with extra structure) are key tools in studying the supersingular loci of these Shimura varieties. In this talk, we'll discuss the geometry of the GL(4) Rapoport-Zink space. As an application, we'll also discuss the geometry of the supersingular loci of some particular unitary Shimura varieties.

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