On modular weights of Galois representations

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Let F be a totally real field and ρ:Gal(F̄/F) → GL 2(double-struck Fp) a Galois representation whose restriction to a decomposition group at some place dividing p is irreducible. Suppose that ρ is modular of some weight σ. We specify a set of weights, not containing σ, such that ρ is modular for at least one weight in this set.

Original languageEnglish
Pages (from-to)537-542
Number of pages6
JournalMathematical Research Letters
Issue number2-3
StatePublished - 2008
Externally publishedYes


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