A generalization of Kato's local \(\varepsilon\)-conjecture for \((\varphi,\Gamma)\)-modules over the Robba ring

DOI10.2140/ant.2017.11.319zbMath1431.11072arXiv1305.0880OpenAlexW2243256355MaRDI QIDQ2397611

Kentaro Nakamura

Publication date: 23 May 2017

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.0880

zbMATH Keywords

\(p\)-adic Hodge theory\((\varphi,\Gamma)\)-module\(B\)-pair

Mathematics Subject Classification ID

Galois cohomology (11S25) (p)-adic theory, local fields (11F85) Galois representations (11F80)

Related Items (12)

Interpolation of generalized Heegner cycles in Coleman families ⋮ Kato's local \(\varepsilon\)-conjecture in dimension 2 ⋮ On the exceptional zeros of 𝑝-non-ordinary 𝑝-adic 𝐿-functions and a conjecture of Perrin-Riou ⋮ An Introduction to p-Adic Hodge Theory ⋮ Zeta morphisms for rank two universal deformations ⋮ Compairing categories of Lubin-Tate \((\varphi_L,\Gamma_L)\)-modules ⋮ On extra zeros of 𝑝-adic Rankin–Selberg 𝐿-functions ⋮ Algebraic number theory. Abstracts from the workshop held June 25--30, 2023 ⋮ Iwasawa theory for symmetric squares of non-\(p\)-ordinary eigenforms ⋮ Interpolation of Beilinson-Kato elements and \(p\)-adic \(L\)-functions ⋮ COHOMOLOGY AND OVERCONVERGENCE FOR REPRESENTATIONS OF POWERS OF GALOIS GROUPS ⋮ Local epsilon isomorphisms

Cites Work

• Unnamed Item
• Unnamed Item
• Analytic families of finite-slope Selmer groups
• On families of \(\varphi ,\Gamma \)-modules
• A local-global compatibility conjecture in the \(p\)-adic Langlands programme for \(\text{GL}_{2}/\mathbb Q\)
• Iwasawa theory of crystalline representations. II.
• Construction of \((\phi,\Gamma)\)-modules: \(p\)-adic representations and \(B\)-pairs
• Algebras of \(p\)-adic distributions and admissible representations
• Overconvergent modular forms and the Fontaine-Mazur conjecture
• On Iwasawa theory of crystalline representations
• \(p\)-adic representations and differential equations
• Local epsilon isomorphisms
• About the density of \(\text{Gal}(\overline{\mathbb Q}_p/\mathbb Q_p)\) crystalline representations
• On Kato's local \(\varepsilon\)-isomorphism conjecture for rank-one Iwasawa modules
• Equations differentielles p-adiques et modules de Jacquet analytiques
• Cohomology of arithmetic families of (𝜑,Γ)-modules
• PresqueC_p-représentations et (ϕ,Γ)-modules
• Zariski density of crystalline representations for any p-adic field
• The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".
• Iwasawa theory of de Rham -modules over the Robba ring
• \(\Phi\)-\(\Gamma\)-modules for families of Galois representations

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