On the structure of some p-adic period domains

2017/10/18 by Chen, Miaofen, Fargues, Laurent, Shen, Xu
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1710.06935

Abstract

We prove the Fargues-Rapoport conjecture for p-adic period domains: for a reductive group G over a p-adic field and a minuscule cocharacter μ of G, the weakly admissible locus coincides with the admissible one if and only if the Kottwitz set B(G,μ) is fully Hodge-Newton decomposable.

Related

• Fargues-Rapoport conjecture for p-adic period domains in the non-basic case
• Harder-Narasimhan strata and p-adic period domains
• Weakly admissible locus and Newton stratification in p-adic Hodge theory
• Théorie de la réduction pour les groupes p-divisibles
• Diophantine problems and p-adic period mappings