Fargues–Rapoport conjecture for -adic period domains in the non-basic case
Miaofen Chen
East China Normal University, Shanghai, China
![Fargues–Rapoport conjecture for $p$-adic period domains in the non-basic case cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jems-volume-25-issue-7.png&w=3840&q=90)
Abstract
We prove the Fargues–Rapoport conjecture for -adic period domains in the non-basic case with minuscule cocharacter. More precisely, we give a group-theoretical criterion for the cases when the admissible locus and weakly admissible locus coincide. This generalizes the result of Hartl (2013) for the group . In the last section, we also give a conjecture about the intersection of weakly admissible locus and the Newton strata in the flag variety.
Cite this article
Miaofen Chen, Fargues–Rapoport conjecture for -adic period domains in the non-basic case. J. Eur. Math. Soc. 25 (2023), no. 7, pp. 2879–2918
DOI 10.4171/JEMS/1253