%0 Journal Article %T A local proof of the Breuil-M¨¦zard conjecture in the scalar semi-simplification case %A Fabian Sander %J Mathematics %D 2015 %I arXiv %X We give a new local proof of the Breuil-M\'ezard conjecture in the case of a reducible representation of the absolute Galois group of $\mathbb{Q}_p$, $p>2$, that has scalar semi-simplification, via a formalism of Pa\v{s}k\=unas. %U http://arxiv.org/abs/1506.01197v1