An effective isomorphy criterion for mod ℓ Galois representations

2010/09/30 by Takai, Yuuki
#11F33 #11F80 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1009.6072

Abstract

In this paper, we consider mod ℓ Galois representations of ℚ. In particular, we obtain an effective criterion to distinguish two semisimple 2-dimensional, odd mod ℓ Galois representations up to isomorphism. Serre's conjecture (Khare-Wintenberger's theorem), Sturm's theorem, and its modification by Kohnen are used in our proof.

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