Substitution maps in the Robba ring

DOI10.1007/S40316-022-00195-9arXiv2012.01904MaRDI QIDQ6355224

Laurent Berger

Publication date: 3 December 2020

Abstract: We ask several questions about substitution maps in the Robba ring. These questions are motivated by $p$-adic Hodge theory and the theory of $p$-adic dynamical systems. We provide answers to those questions in special cases, thereby generalizing results of Kedlaya, Colmez, and others.

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Analytical algebras and rings (13J07) (p)-adic differential equations (12H25) Non-Archimedean dynamical systems (11S82)

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