Crystalline liftings and weight part of Serre's conjecture

Abstract

We prove some new cases of weight part of Serre's conjectures for mod $p$ Galois representations associated to automorphic representations on unitary groups $U(d)$. The approach is a generalization of the work of Gee-Liu-Savitt, namely, we study reductions of certain crystalline representations, as well as crystalline lifts of these reductions.

Final version

References in corpus (2)

• Serre Weights for U(n)
• G-valued crystalline representations with minuscule p-adic Hodge type