Représentations de de Rham et normes universelles

DOI10.24033/bsmf.2498zbMath1122.11036arXivmath/0309196OpenAlexW4319777160MaRDI QIDQ5487891

Laurent Berger

Publication date: 13 September 2006

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309196

zbMATH Keywords

Galois cohomologyIwasawa theory\((\varphi,\Gamma)\)-modulesde Rham \(p\)-adic representationmodule of universal norms

Mathematics Subject Classification ID

Galois cohomology (11S25) Galois representations (11F80) Iwasawa theory (11R23) (p)-adic cohomology, crystalline cohomology (14F30) (p)-adic differential equations (12H25)

Related Items (5)

On Selmer groups in the supersingular reduction case ⋮ Signed Selmer groups over \(p\)-adic Lie extensions ⋮ Euler systems with local conditions ⋮ On the anticyclotomic Iwasawa theory of CM forms at supersingular primes ⋮ The p-Adic Height Pairing on Abelian Varieties at Non-ordinary Primes

Cites Work

• Arithmetic of formal groups and applications. I: Universal norm subgroups
• Iwasawa theory and \(p\)-adic heights
• On norm maps for one dimensional formal groups. III
• Overconvergent \(p\)-adic representations
• Iwasawa theory of \(p\)-adic representations over a local field
• Bloch and Kato's exponential map: three explicit formulas
• \(p\)-adic representations and differential equations
• Hasse-Arf filtrations and \(p\)-adic monodromy.
• Analogue \(p\)-adique du théorème de Turrittin et le théorème de la monodromie \(p\)-adique.
• A \(p\)-adic local monodromy theorem
• On norm maps for one dimensional formal groups. I: The cyclotomic \(\Gamma\)-extension
• Kummer theory for abelian varieties over local fields
• Rational points of Abelian varieties with values in towers of number fields
• Le corps des normes de certaines extensions infinies de corps locaux; applications
• Théorie d’Iwasawa des représentations 𝑝-adiques d’un corps local
• Sur la cohomologie galoisienne des corps $p$-adiques
• Théorie d'Iwasawa des représentations p-adiques semi-stables
• Représentations $p$-adiques et normes universelles I. Le cas cristallin
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