Integral \(p\)-adic non-abelian Hodge theory for small representations

DOI10.1016/J.AIM.2024.109950MaRDI QIDQ6634743

Yupeng Wang, Yu Min

Publication date: 8 November 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Deligne-Illusie decompositionintegral \(p\)-adic Simpson correspondence

Mathematics Subject Classification ID

Rigid analytic geometry (14G22) (p)-adic cohomology, crystalline cohomology (14F30) Perfectoid spaces and mixed characteristic (14G45)

Cites Work

• Rigidity and a Riemann-Hilbert correspondence for \(p\)-adic local systems
• Nonabelian Hodge theory in characteristic \(p\)
• Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
• Higgs bundles and local systems
• Integral \(p\)-adic Hodge theory
• Notes on the local \(p\)-adic Simpson correspondence
• Integral \(p\)-adic Hodge theory of formal schemes in low ramification
• Prisms and prismatic cohomology
• Lectures on formal and rigid geometry
• A \(p\)-adic Simpson correspondence
• The \(p\)-adic Corlette-Simpson correspondence for abeloids
• The \(p\)-adic Simpson correspondence
• \(p\)-adic Hodge theory for rigid-analytic varieties
• Line bundles on rigid spaces in thev-topology
• Specializing varieties and their cohomology from characteristic 0 to characteristic 𝑝
• The 𝑝-adic Hodge decomposition according to Beilinson
• The -cohomology in the semistable case
• TRANSPORT PARALLÈLE ET CORRESPONDANCE DE SIMPSON -ADIQUE
• Vector bundles on p-adic curves and parallel transport
• A \(p\)-adic Simpson correspondence for rigid analytic varieties
• Finiteness and duality for the cohomology of prismatic crystals

This page was built for publication: Integral \(p\)-adic non-abelian Hodge theory for small representations

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6634743)