scientific article

zbMath1251.11080MaRDI QIDQ3579574

Pierre Colmez

Publication date: 9 August 2010

Full work available at URL: http://smf4.emath.fr/en/Publications/Asterisque/2010/331/html/smf_ast_331_13-28.php

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zbMATH Keywords

semi-stable representationColeman's \({\mathcal L}\)-invariantFontaine-Mazur's \({\mathcal L}\)-invariant

Mathematics Subject Classification ID

Galois representations (11F80) Langlands-Weil conjectures, nonabelian class field theory (11S37)

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On the exceptional zeros of 𝑝-non-ordinary 𝑝-adic 𝐿-functions and a conjecture of Perrin-Riou ⋮ About the density of \(\text{Gal}(\overline{\mathbb Q}_p/\mathbb Q_p)\) crystalline representations ⋮ \protect \mathcal{L}-invariants, partially de Rham families, and local-global compatibility ⋮ REDUCTIONS OF -DIMENSIONAL SEMISTABLE REPRESENTATIONS WITH LARGE -INVARIANT ⋮ Computing \(\mathcal{L}\)-invariants via the Greenberg-Stevens formula ⋮ \(\mathcal{L}\)-invariants and logarithm derivatives of eigenvalues of Frobenius ⋮ The \({\mathcal {L}}\)-invariant, the dual \({\mathcal{L}}\)-invariant, and families ⋮ Derivatives of Frobenius and derivatives of Hodge-Tate weights ⋮ Algorithms for the arithmetic of elliptic curves using Iwasawa theory ⋮ Upper bounds for constant slope \(p\)-adic families of modular forms ⋮ A generalization of Colmez-Greenberg-Stevens formula ⋮ A control theorem for \(p\)-adic automorphic forms and Teitelbaum's \(\mathcal{L} \)-invariant

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