Cristaux et immeubles

Christophe Cornut (1) , Marc-Hubert Nicole (2)

1 IMJ - Institut de Mathématiques de Jussieu
2 I2M - Institut de Mathématiques de Marseille

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. To illustrate this approach, we prove the Mazur inequality.

Domaines: Mathématiques [math]; Théorie des nombres [math.NT]; Géométrie métrique [math.MG]

Christophe Cornut, Marc-Hubert Nicole. Cristaux et immeubles. Bulletin de la société mathématique de France, 2016, 144 (1), pp.1-18. ⟨hal-01221801⟩