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Serre-Tate theory for Shimura varieties of Hodge type

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Shankar, Ananth

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Serre-Tate theory for Shimura varieties of Hodge type
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17
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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We study the formal neighbourhood of a point in µ-ordinary locus of an integral model of a Hodge type Shimura variety, and prove the existence of a structure analogous to the Serre-Tate structure on the deformation space of an ordinary abelian variety.This is joint work with Rong Zhou.
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