By Gebhard Böckle,Gabor Wiese
This quantity comprises unique study articles, survey articles and lecture notes on the topic of the Computations with Modular varieties 2011 summer season institution and convention, held on the college of Heidelberg. A key subject of the convention and summer time institution used to be the interaction among concept, algorithms and experiment.
The 14 papers provide readers either, educational classes at the newest algorithms for computing modular and automorphic varieties, in addition to unique study articles reporting at the most recent 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 kinds, and overconvergent modular symbols.
The eleven convention papers conceal quite a lot of issues 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 specific values of p-adic Rankin triple product L-functions, mathematics points and experimental facts of Bianchi teams, a theoretical research of the true Jacobian of modular curves, effects on computing weight one modular kinds, and more.
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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