Cristaux et immeubles

DOI10.24033/bsmf.2709zbMath1387.20023OpenAlexW2964215361MaRDI QIDQ2811178

Christophe Cornut, Marc-Hubert Nicole

Publication date: 10 June 2016

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://smf4.emath.fr/en/Publications/Bulletin/144/html/smf_bull_144_125-143.php

zbMATH Keywords

reductive groupsBruhat-Tits buildingG-isocrystalsMazur inequality

Mathematics Subject Classification ID

Groups with a (BN)-pair; buildings (20E42) Formal groups, (p)-divisible groups (14L05) Linear algebraic groups over local fields and their integers (20G25)

Related Items (5)

Finiteness properties of affine Deligne-Lusztig varieties ⋮ Filtrations and Buildings ⋮ A fixed point theorem in Euclidean buildings ⋮ Harder-Narasimhan filtrations for Breuil-Kisin-Fargues modules ⋮ Mazur's inequality and Laffaille's theorem

Cites Work

• Stratifications of Newton polygon strata and Traverso's conjectures for \(p\)-divisible groups
• The supersingular locus of the Shimura variety of \(\text{GU}(1,n-1)\). II
• A finiteness theorem in the Bruhat-Tits building: an application of Landvogt's embedding theorem
• Shimura varieties and twisted orbital integrals
• Metric building exercises
• On finite group actions on reductive groups and buildings
• Minimal \(p\)-divisible groups
• Reductive groups over a local field
• Period Spaces for "p"-divisible Groups (AM-141)
• Some functional properties of the Bruhat-Tits building
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