An algorithm for computing the reduction of 2-dimensional crystalline representations of $\text{Gal}(\overline\mathbf{Q}_p/\mathbf{Q}_p)$ - ENS de Lyon - École normale supérieure de Lyon Accéder directement au contenu
Article Dans Une Revue International Journal of Number Theory Année : 2018

An algorithm for computing the reduction of 2-dimensional crystalline representations of $\text{Gal}(\overline\mathbf{Q}_p/\mathbf{Q}_p)$

Résumé

We describe an algorithm to compute the reduction modulo p of a crystalline Galois representation of dimension 2 of $\text{Gal}(\overline\mathbf{Q}_p/\mathbf{Q}_p)$ with distinct Hodge-Tate weights via the semi-simple modulo p Langlands correspondence. We give some examples computed with an implementation of this algorithm in SAGE.

Dates et versions

hal-01402378 , version 1 (24-11-2016)

Identifiants

Citer

Sandra Rozensztajn. An algorithm for computing the reduction of 2-dimensional crystalline representations of $\text{Gal}(\overline\mathbf{Q}_p/\mathbf{Q}_p)$. International Journal of Number Theory, 2018, 14 (07), pp.1857 -- 1894. ⟨10.1142/S1793042118501117⟩. ⟨hal-01402378⟩
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