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, which coincides with the so-called admissible locus, is contained in the weakly admissible locus, but is in most cases strictly smaller. For the group $\textnormal{GL}_n$, I describe which of the other Newton strata intersect the weakly admissible locus.

number theoryrepresentation theory

Audience: researchers in the topic

Cross Atlantic Representation Theory and Other topics ONline (CARTOON) conference