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1. CJM 2008 (vol 60 pp. 208)

Ramakrishna, Ravi
Constructing Galois Representations with Very Large Image
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 $\SL_2$ of this power series ring. Furthermore, all ${\mathbb Z}_p$ specializations of this deformation are potentially semistable at $p$.

Keywords:Galois representation, deformation

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