Universiteit Leiden

nl en

Proefschrift

Adapted deformations and Ekedahl-Oort stratifications of Shimura varieties

This thesis concerns the relation bettween the good reduction of Shimura varieties and the associated loop groups.

Auteur
Q. Yan
Datum
18 oktober 2017
Links
Thesis in Leiden Repository

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.

Deze website maakt gebruik van cookies. Meer informatie