en fr Certification of modular Galois representations Certification de représentations galoisiennes modulaires Report as inadecuate




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1 LFANT - Lithe and fast algorithmic number theory IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest 2 IMB - Institut de Mathématiques de Bordeaux

Abstract : We show how the output of the algorithm to compute modular Galois representations described in our previous article can be certified. We have used this process to compute certified tables of such Galois representations obtained thanks to an improved version of this algorithm, including representations modulo primes up to 31 and representations attached to a newform with non-rational but of course algebraic coefficients, which had never been done before. These computations take place in the Jacobian of modular curves of genus up to 26. The resulting data are available on the author-s webpage.

Keywords : Galois representations Certification Effective Galois theory Group cohomology





Author: Nicolas Mascot -

Source: https://hal.archives-ouvertes.fr/



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