On the weights of mod $p$ Hilbert modular forms

Abstract

We prove many cases of a conjecture of Buzzard, Diamond and Jarvis on the possible weights of mod $p$ Hilbert modular forms, by making use of modularity lifting theorems and computations in $p$-adic Hodge theory.

34 pages. Essentially final version, to appear in Inventiones mathematicae. This version does not incorporate any minor changes (e.g. typographical changes) made in proof

Cited by in corpus (2)

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• A modularity lifting theorem for weight 2 Hilbert modular forms