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arXiv · 1509.00332

On 2-dimensional 2-adic Galois representations of local and global fields

Vytautas Paskunas
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Abstract

We describe the generic blocks in the category of smooth locally admissible mod $2$ representations of $\mathrm{GL}_2(\mathbb{Q}_2)$. As an application we obtain new cases of Breuil--Mézard and Fontaine--Mazur conjectures for $2$-dimensional $2$-adic Galois representations.

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Vytautas Paskunas. 2016-04-25. On 2-dimensional 2-adic Galois representations of local and global fields. https://doi.org/10.2140/ant.2016.10.1301

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