Persistent URL of this record https://hdl.handle.net/1887/56255
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- Title page_Contents
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- Chapter 1 Introduction
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- References
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- Summary in Dutch
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- Summary in Italian
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- Acknowledgements_Curriculum Vitae
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- Propositions
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Adapted deformations and the Ekedahl-Oort stratifications of Shimura varieties
This thesis concerns the relation bettween the good reduction of Shimura varieties and the associated loop groups. To be precise, by studying the Breuil-Kisin modules of p-divisible groups, we construct a direct morphism from the special fibre of a Shimura varieties of Hodge type to an fpqc subquotient of the associated loop group, and show that the geometric fibres of the morphism gives back the Ekedahl-Oort strata of the Shimura varieties in question. This can be seen as an alternative definition of the Ekedahl-Oort stratification of Shimura varieties, which gives a conceptual explanation of E. Viehmann's new invariants of "truncation of level 1" of loop groups.
- All authors
- Yan, Q.
- Editor(s)
- Yan Q.
- Supervisor
- Smit, Bart de; Andreatta, Fabrizio
- Committee
- Vaart, Aad van der; Edixhoven, Sebastiaan; Gortz, Ulrich; Wedhorn, Torsten
- Qualification
- Doctor (dr.)
- Awarding Institution
- Mathematical Institute , Science , Leiden University
- Date
- 2017-10-18