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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6 Pith papers cite this work. Polarity classification is still indexing.
6
Pith papers citing it
years
2026 6verdicts
UNVERDICTED 6representative citing papers
Introduces Higgs bundles on the Fargues-Fontaine curve, establishes a BNR correspondence, and shows an injective étale-stack map from B_dR^+-affine Springer fibers to the Hitchin fiber inducing category equivalence on geometric points.
Orbital integrals on unitary groups over local fields in positive characteristic converge absolutely.
Develops a method for plus-pure thresholds and classifies BCM-regular diagonal hypersurfaces in mixed characteristic (0,2) via necessary/sufficient conditions and lower bounds.
Under standard Taylor-Wiles hypotheses, every irreducible 2-dimensional totally odd mod p Galois representation of the absolute Galois group of a totally real field F admits lifts on arbitrary prescribed components of local deformation rings, allowing potentially semistable conditions with arbitrary
Computes étale Gm-cohomology of p-adic Stein spaces via principal units filtration, p-adic Hodge theory for U-cohomology, and Kummer sequences for Gm/U, with explicit formula applying to Drinfeld upper half space.
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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Higgs bundles on the Fargues-Fontaine curve
Introduces Higgs bundles on the Fargues-Fontaine curve, establishes a BNR correspondence, and shows an injective étale-stack map from B_dR^+-affine Springer fibers to the Hitchin fiber inducing category equivalence on geometric points.
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Convergence of orbital integrals on unitary groups in positive characteristic
Orbital integrals on unitary groups over local fields in positive characteristic converge absolutely.
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BCM-regularity of diagonal hypersurfaces and plus-pure thresholds in mixed characteristic
Develops a method for plus-pure thresholds and classifies BCM-regular diagonal hypersurfaces in mixed characteristic (0,2) via necessary/sufficient conditions and lower bounds.
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Prescribed lifts of 2-dimensional representations
Under standard Taylor-Wiles hypotheses, every irreducible 2-dimensional totally odd mod p Galois representation of the absolute Galois group of a totally real field F admits lifts on arbitrary prescribed components of local deformation rings, allowing potentially semistable conditions with arbitrary
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$\mathbb{G}_m$-cohomology of $p$-adic Stein spaces
Computes étale Gm-cohomology of p-adic Stein spaces via principal units filtration, p-adic Hodge theory for U-cohomology, and Kummer sequences for Gm/U, with explicit formula applying to Drinfeld upper half space.