Newton strata in the weakly admissible locus

Abstract: Given a reductive group G over a p-adic local field and a minuscule cocharacter, Rapoport and Zink constructed an open subspace inside the associated adic flag variety, called p-adic period domain or weakly admissible locus. These are vast generalizations of Drinfeld upper half spaces. Recently, Caraiani and Scholze defined a Newton stratification on adic flag varieties. The unique open Newton stratum coincides with the so-called admissible locus, and is contained in the weakly admissible locus. However, in most cases the two spaces do not coincide. In my talk, I describe which of the other Newton strata intersect the weakly admissible locus.

commutative algebraalgebraic geometrynumber theory

Audience: researchers in the topic

Recent Advances in Modern p-Adic Geometry (RAMpAGe)

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