Formal groups and lifts of the field of norms

DOI10.2140/ant.2022.16.261OpenAlexW4288408194WikidataQ114045515 ScholiaQ114045515MaRDI QIDQ2133386

Léo Poyeton

Publication date: 29 April 2022

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

Full work available at URL: https://arxiv.org/abs/1903.11106

zbMATH Keywords

formal groups\((\varphi,\Gamma)\)-modulesLubin-TateArchimedean dynamical systems

Mathematics Subject Classification ID

Galois theory (11S20) Ramification and extension theory (11S15) Formal power series rings (13F25) Class field theory; (p)-adic formal groups (11S31) Non-Archimedean dynamical systems (11S82)

Cites Work

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• Lifting the field of norms
• Iterated extensions and relative Lubin-Tate groups
• Isogenies between dynamics of formal groups
• Galois representations and Lubin-Tate groups
• \(\mathbb Q_p\)-linear continuous Galois equivariant maps from \(\mathbb C_p\) into itself
• Ramification in p-adic Lie extensions
• Lie algebras of Galois groups arising from Hodge-Tate modules
• A characterization of strictly APF extensions
• 𝑝-adic Power Series which Commute under Composition
• Canonical Cohen Rings for Norm Fields
• Height-one commuting power series over ℤ _p
• Le corps des normes de certaines extensions infinies de corps locaux; applications
• Relative Lubin-Tate Groups
• Sur la cohomologie galoisienne des corps $p$-adiques
• ESPACES DE BANACH DE DIMENSION FINIE
• Représentations $p$-adiques potentiellement cristallines
• When is a 𝑝-adic power series an endomorphism of a formal group?
• Lubin's conjecture for full $p$-adic dynamical systems

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