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Irreduzible Komponenten von 2-adischen Deformationsr\"aumen

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arxiv 1512.09277 v1 pith:CUPWVENL submitted 2015-12-31 math.NT

Maurice Babnik This is my paper · ORCID
classification math.NT
keywords absoluteadischenaumenbijectioncomponentsconfirmingconjecturedeformations
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abstract

We prove that the irreducible components of the space of framed deformations of a $2$-dimensional mod $2$ representation with scalar semi-simplification of the absolute Galois group of $\mathbb{Q}_2$ are in natural bijection with those of its determinant, confirming a conjecture of B\"ockle--Juschka

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  1. On the modularity of 2-adic potentially semi-stable deformation rings

    math.NT 2019-08 conditional novelty 7.0 of 10

    For p=2, the support of patched modules meets every irreducible component of the potentially semi-stable deformation ring, yielding the Breuil-Mezard conjecture in the case where the residual representation is a twist...

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