Certification de représentations galoisiennes modulaires
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MASCOT, Nicolas | |
| dc.date.created | 2015 | |
| dc.date.issued | 2018 | |
| dc.identifier.issn | 0025-5718 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.publisher | American Mathematical Society | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc/ | |
| dc.subject.en | Galois representations | |
| dc.subject.en | Certification | |
| dc.subject.en | Effective Galois theory | |
| dc.subject.en | Group cohomology | |
| dc.title | Certification de représentations galoisiennes modulaires | |
| dc.title.en | Certification of modular Galois representations | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 1312.6418 | |
| bordeaux.journal | Mathematics of Computation | |
| bordeaux.page | 381–423 | |
| bordeaux.volume | 87 | |
| bordeaux.issue | 309 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01426832 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01426832v1 | |
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