Seminar on Arithmetic Algebraic Geometry: Bruhat-Tits Buildings and G-isocrystals

Date
2012-7-27 10:00 - 2012-7-27 12:00
Place
Faculty of Science Building #3 Room 210
Speaker/Organizer
Marc-Hubert Nicole (Aix-Marseille II (Luminy))
 
Abstract: Let G be a connected reductive group defined over Q_p. The set of crystals contained in a given G-isocrystal is viewed from a Bruhat-Tits building-theoretic vantage point as a kind of tubular neighborhood of a skeleton characterized by a minimality property arising from metric space theory. We shall relate this set to special fibers of Shimura varieties which motivated its study, and recall background material for both buildings and isocrystals. This is joint work with Christophe Cornut (IMJ).