Modular Galois Representations of “neben” Type

Abstract

In 1995 in [W] Theorem 0.2, A. Wiles proved, under some mild conditions (and relying on a ring theoretic result on Hecke algebras in [TW]), that if a p–adic Galois representation is congruent modulo p to that of an elliptic cusp form, then the representation itself is associated to a cusp form. After that, I have been thinking of characterizing residually… (More)

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