ON THE WEIGHTS OF MOD p HILBERT MODULAR FORMS
نویسنده
چکیده
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.
منابع مشابه
Weights of Galois Representations Associated to Hilbert Modular Forms
Let F be a totally real field, p ≥ 3 a rational prime unramified in F , and p a place of F over p. Let ρ : Gal(F/F ) → GL2(Fp) be a two-dimensional mod p Galois representation which is assumed to be modular of some weight and whose restriction to a decomposition subgroup at p is irreducible. We specify a set of weights, determined by the restriction of ρ to inertia at p, which contains all the ...
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We study the possible weights of an irreducible 2-dimensional modular mod p representation of Gal(F/F ), where F is a totally real field which is totally ramified at p, and the representation is tamely ramified at the prime above p. In most cases we determine the precise list of possible weights; in the remaining cases we determine the possible weights up to a short and explicit list of excepti...
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We study the possible weights of an irreducible 2-dimensional modular mod p representation of Gal(F/F ), where F is a totally real field which is totally ramified at p, and the representation is tamely ramified at the prime above p. In most cases we determine the precise list of possible weights; in the remaining cases we determine the possible weights up to a short and explicit list of excepti...
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