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A geometric perspective on the Breuil–Mézard conjecture
Abstract Let $p\gt 2$ be prime. We state and prove (under mild hypotheses on the residual representation) a geometric refinement of the Breuil–Mézard conjecture for two-dimensional mod $p$ representations of the absolute Galois group of ${ \mathbb{Q} }_{p} $ . We also state a conjectural generalization to $n$ -dimensional representations …