3 problems
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Fargues–Rapoport conjecture on weakly admissible and admissible loci
Fargues–Rapoport conjecture. For -adic period domains, the weakly admissible locus coincides with the admissible locus if and only if the pair is Hodge–Newton decompos…
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Conjecture that admissibility equals weak admissibility exactly under cocompactness
Admissibility–weak admissibility conjecture. The equality
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Fargues–Rapoport conjecture on fully Hodge–Newton decomposable local data
Let be a reductive group and let be a minuscule cocharacter. Write for a basic -conjugacy class and let be fully Hodge–Newton decomposable in…