Ogus's conjecture is resolved affirmatively in full generality by constructing the required F-isocrystal via p-adic local systems and prismatic methods, while also introducing a prismatic refinement of the p-adic Riemann-Hilbert functor.
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5 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 5representative citing papers
The category of pro-étale vector bundles on a proper rigid-analytic variety X over C is equivalent to the category of Higgs bundles on the eh-site of X.
Quotient fields of the perfectoid Tate algebra T_n,K^perfd are semi-immediate extensions of K_r1..rl^perfd with l bounded by min(n-ht(m^flat cap coperf),n-1) and at least one ri irrational if the flat intersection is nonzero.
Constructs an equivalence for torsion coefficients between Zhu's category and Fargues-Scholze's category via Scholze's analytification functor and kimberlite theory, with applications to BunG decompositions and local Shimura varieties.
On perfectoid spaces over p-adic fields, étale and v-topological G-torsors coincide for arbitrary rigid analytic groups G, generalizing prior results for Ga and GL_n, with applications to generalized Q_p-representations equaling v-vector bundles.
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Abhyankar valuations, Pr\"ufer-Manis valuations, and perfectoid Tate algebras
Quotient fields of the perfectoid Tate algebra T_n,K^perfd are semi-immediate extensions of K_r1..rl^perfd with l bounded by min(n-ht(m^flat cap coperf),n-1) and at least one ri irrational if the flat intersection is nonzero.