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Constructing Galois Representations with Very Large Image
Published online by Cambridge University Press: 20 November 2018
Abstract
Starting with a 2-dimensional mod $p$ Galois representation, we construct a deformation to a power series ring in infinitely many variables over the $p$-adics. The image of this representation is full in the sense that it contains $S{{L}_{2}}$ of this power series ring. Furthermore, all ${{\mathbb{Z}}_{p}}$ specializations of this deformation are potentially semistable at $p$.
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- Research Article
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- Copyright © Canadian Mathematical Society 2008
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