By Gebhard Böckle,Gabor Wiese

This quantity comprises unique learn articles, survey articles and lecture notes on the topic of the Computations with Modular kinds 2011 summer time institution and convention, held on the college of Heidelberg. A key topic of the convention and summer season university used to be the interaction among idea, algorithms and experiment.

The 14 papers supply readers either, educational classes at the most modern algorithms for computing modular and automorphic types, in addition to unique learn articles reporting at the newest advancements within the field.

The 3 summer season tuition lectures offer 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 disguise a variety of issues concerning computations with modular types, together with lattice tools for algebraic modular types on classical teams, a generalization of the Maeda conjecture, an effective set of rules for particular 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 types, and more.

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