Combinatorics of Serre weights in the potentially Barsotti-Tate setting

Xavier Caruso, Agnès David, Ariane Mézard

Let $F$ be a finite unramified extension of $\mathbb{Q}\_p$ and $\bar{\rho }$ be an absolutely irreducible mod~$p$ $2$-dimensional representation of the absolute Galois group of $F$. Let…