Overconvergent Lubin–Tate (φ,Γ)-modules for different uniformizers

DOI10.1142/s1793042123500756arXiv2106.16005MaRDI QIDQ6110502

Yuta Saito

Publication date: 1 August 2023

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.16005

zbMATH Keywords

\((\varphi, \Gamma)\)-modulesLubin-Tate theory

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Galois representations (11F80) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Class field theory; (p)-adic formal groups (11S31)

Cites Work

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• Multivariable \((\varphi ,\Gamma)\)-modules and locally analytic vectors
• Galois representations and Lubin-Tate groups
• Overconvergent \(p\)-adic representations
• Triangulable \(\mathcal O_F\)-analytic \((\varphi_q,\Gamma)\)-modules of rank 2
• Zeros of polynomials over local fields. The Galois action

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