Substitution maps in the Robba ring

Laurent Berger

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arXiv · 2012.01904

Substitution maps in the Robba ring

Laurent Berger

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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.

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Laurent Berger. 2020-12-03. Substitution maps in the Robba ring. https://arxiv.org/abs/2012.01904

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