Some new directions in \(p\)-adic Hodge theory

DOI10.5802/jtnb.671zbMath1245.14009arXiv0709.1970OpenAlexW2110122332MaRDI QIDQ1032643

Kiran S. Kedlaya

Publication date: 26 October 2009

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.1970

Mathematics Subject Classification ID

Galois cohomology (11S25) Local ground fields in algebraic geometry (14G20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Construction of \((\phi,\Gamma)\)-modules: \(p\)-adic representations and \(B\)-pairs
• Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
• Variation of Hodge structure: The singularities of the period mapping
• Overconvergent modular forms and the Fontaine-Mazur conjecture
• \(p\)-adic representations and differential equations
• Sur la cohomologie galoisienne des corps $p$-adiques
• Crystalline representations and F-crystals
• Cohomology and Duality for (φ, Γ)-modules over the Robba Ring