Fargues-Rapoport conjecture for p-adic period domains in the non-basic case

作者：Chen, Miaofen^*

来源：Journal of the European Mathematical Society, 2023, 25(7): 1253-2918.

DOI：10.4171/JEMS/1253

• p-adic period domain
• Fargues-Fontaine curve
• Newton stratification

We prove the Fargues-Rapoport conjecture for p-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 GL(n). In the last section, we also give a conjecture about the intersection of weakly admissible locus and the Newton strata in the flag variety.