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BreuilKisin windows and the EkedahlOort stratification of Shimura varieties
闫旗军 博士(莱顿大学&米兰大学)
Monday, January 15th, 2018, 10:00 AM 华东师范大学闵行校区数学系102室 

By constructing (noncanonical) deformations for the associated pdivisible groups of the special fibre S of a Shimura variety, we manage to construct a morphism from S to some quotient sheaf of the loop group associated with S. We show that the geometric fibre of this morphism gives back the EkedahlOort (EO) strata of S: this also gives a conceptual interpretation of Viehmann's new invariant "elements of truncation of level one". I will recall the EO stratification of Shimura varieties (of good reduction) and the classification of pdivisible groups in terms of filtered BreuilKisin modules (or BreuilKisin windows, in my term), and then present the main results in a precise form.
主持人：陈苗芬



