By Gebhard Böckle,Gabor Wiese
This quantity includes unique learn articles, survey articles and lecture notes concerning the Computations with Modular varieties 2011 summer season tuition and convention, held on the collage of Heidelberg. A key subject matter of the convention and summer season institution used to be the interaction among idea, algorithms and experiment.
The 14 papers provide readers either, educational classes at the most up-to-date algorithms for computing modular and automorphic types, in addition to unique examine articles reporting at the most up-to-date advancements within the field.
The 3 summer time tuition lectures supply an advent to trendy algorithms including a few theoretical heritage for computations of and with modular kinds, together with computing cohomology of mathematics teams, algebraic automorphic varieties, and overconvergent modular symbols.
The eleven convention papers conceal a variety of subject matters concerning computations with modular types, together with lattice equipment for algebraic modular kinds on classical teams, a generalization of the Maeda conjecture, a good set of rules for specified values of p-adic Rankin triple product L-functions, mathematics facets and experimental facts of Bianchi teams, a theoretical research of the true Jacobian of modular curves, effects on computing weight one modular varieties, and more.
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Extra info for Computations with Modular Forms: Proceedings of a Summer School and Conference, Heidelberg, August/September 2011 (Contributions in Mathematical and Computational Sciences)
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