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.
Algebraic geometry and number theory , SERIES =
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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.
Any Farey triangle corresponds to a variant of the Colmez-Fontaine fundamental lemma, with the original lemma matching the triangle (1/0, 1/1, 0/1).
citing papers explorer
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Ogus's conjecture on F-isocrystals
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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On the Schematic and Analytic Constructions of the Local Langlands Category
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.
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Modular variants of p-adic fundamental sequence
Any Farey triangle corresponds to a variant of the Colmez-Fontaine fundamental lemma, with the original lemma matching the triangle (1/0, 1/1, 0/1).