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Thursday 22 Sep 2016The display of a p-divisible group and Cerednik uniformization

Thomas Zink - Universitat Bielefeld

H103 14:30-15:30

p-divisible groups are used to study abelian varieties in char-acteristic p > 0. We explain recent results on the classi?cation of p-divisible groups by displays. Cerednik proved that Shimura curves may be uniformized by the p-adic upper half plan ?. We give new examples of Shimura varieties which admit such a uniformization. To prove this we use the results on displays. This is joint work with Kudla and Rapoport.

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