Séminaires : Séminaire Groupes Réductifs et Formes Automorphes

Equipe(s) : fa, tn,
Responsables :Alexis Bouthier, Benoît Stroh
Email des responsables : alexis.bouthier@imj-prg.fr, benoit.stroh@imj-prg.fr
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Description

Orateur(s) Ulrich GÖRTZ - Université de Cologne,
Titre Basic loci of Shimura varieties
Date03/03/2014
Horaire10:30 à 11:30
Diffusion
RésumeTo understand arithmetic properties of Shimura varieties, one studies their reduction over finite fields. One of the principal tools to investigate the special fiber is the Newton stratification. There is a unique closed Newton stratum, the so-called basic locus. In certain cases it is possible to understand the geometric structure of the basic locus very explicitly, as a union of classical Deligne-Lusztig varieties with a description of the closure relations between them in terms of a Bruhat-Tits building. We will present a group-theoretic approach in terms of affine Deligne-Lusztig varieties which gives a conceptual understanding in which cases one can hope for such a simple description and how it should look like.
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