By Gebhard Böckle,Gabor Wiese
This quantity includes unique study articles, survey articles and lecture notes concerning the Computations with Modular varieties 2011 summer season university and convention, held on the college of Heidelberg. A key topic of the convention and summer season university was once the interaction among concept, algorithms and experiment.
The 14 papers supply readers either, tutorial classes at the most up-to-date algorithms for computing modular and automorphic kinds, in addition to unique learn articles reporting at the most up-to-date advancements within the field.
The 3 summer time college lectures offer an creation to fashionable algorithms including a few theoretical heritage for computations of and with modular types, together with computing cohomology of mathematics teams, algebraic automorphic varieties, and overconvergent modular symbols.
The eleven convention papers hide a variety of topics with regards to computations with modular varieties, together with lattice tools for algebraic modular varieties on classical teams, a generalization of the Maeda conjecture, an effective set of rules for distinct values of p-adic Rankin triple product L-functions, mathematics elements and experimental info of Bianchi teams, a theoretical research of the genuine Jacobian of modular curves, effects on computing weight one modular kinds, and more.
Read or Download Computations with Modular Forms: Proceedings of a Summer School and Conference, Heidelberg, August/September 2011 (Contributions in Mathematical and Computational Sciences) PDF
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Computations with Modular Forms: Proceedings of a Summer School and Conference, Heidelberg, August/September 2011 (Contributions in Mathematical and Computational Sciences) by Gebhard Böckle,Gabor Wiese