On the geometric Serre weight conjecture for Hilbert modular forms

Siqi Yang

Let $p$ be a prime, $F$ be a totally real field in which $p$ is unramified and $\ddot{I}:\mathrm{Gal}(\overline{F}/F)\to {\mathrm{GL}}_2({\overline{\mathbb{F}}}_p)$ be a totally odd…