# Shimura curves, mod p de Rham cohomology and Serre weights

investigate the mod p Galois representations associated to Hilbert

modular forms by studying mod p de Rham cohomology groups of integral

models for Shimura curves. This has applications to generalised Serre

weight conjectures (conjectures first made by Michael Schein in our

context), and suggests some questions about the structure of finite

flat group schemes appearing in the Picard scheme of the integral

models under consideration.