GAAG seminar - Moduli spaces of analytic p-divisible groups

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Event details

Date 05.06.2026
Hour 14:0016:00
Speaker Lucas Gerth (Sorbonne univeristé)
Location
Category Conferences - Seminars
Event Language English

We prove a classification of families of analytic p-divisible groups on adic spaces S over Qp in terms of Hodge–Tate triples, generalizing a theorem of Fargues. From this, for S a perfectoid space, we construct an analytic Dieudonné theory with values in mixed characteristic Shtukas over the Fargues–Fontaine disc. As applications, we realize the local Shimura varieties of EL and PEL type of Scholze--Weinstein as moduli spaces of analytic p-divisible groups with framed universal cover, and we reinterpret the Hodge–Tate period map of Scholze in terms of topologically p-torsion subgroups of abelian varieties.

Practical information

  • Informed public
  • Free

Contact

  • Laetitia Al-Sulaymaniyin

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