The Breuil–Mézard conjecture when l≠p
The Breuil–Mézard conjecture when l≠p
Let $l$ and $p$ be primes, let $F/\mathbb{Q}_p$ be a finite extension with absolute Galois group $G_F$, let $\mathbb{F}$ be a finite field of characteristic $l$, and let $\bar{\rho} : G_F \rightarrow GL_n(\mathbb{F})$ be a continuous representation. Let $R^\square(\bar{\rho})$ be the universal framed deformation ring for $\bar{\rho}$. If $l = …