Résume | We will discuss the weight part of Serre's conjecture for irreducible two-dimensional $\mod p$ representations of the absolute Galois group of $F$, where $F$ is a totally real field that is totally ramified at $p$, and where the representation is tamely ramified at locally at $p$. In most cases we determine the precise list of possible weights, as conjectured by M. Schein. This is joint work with Toby Gee. |