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This quantity accommodates unique analysis articles, survey articles and lecture notes associated to the Computations with Modular Types 2011 Summer School and Convention, held on the College of Heidelberg. A key theme of the Convention and Summer School was the interaction between concept, algorithms and experiment.
The 14 papers supply readers each, educational programs on the newest algorithms for computing modular and automorphic types, in addition to unique analysis articles reporting on the newest developments in the sector.
The three Summer School lectures present an introduction to trendy algorithms collectively with some theoretical background for computations of and with modular varieties, together with computing cohomology of arithmetic teams, algebraic automorphic varieties, and overconvergent modular symbols.
The eleven Convention papers cowl a wide selection of themes associated to computations with modular types, together with lattice strategies for algebraic modular types on classical teams, a generalization of the Maeda conjecture, an environment friendly algorithm for particular values of p-adic Rankin triple product L-features, arithmetic features and experimental data of Bianchi teams, a theoretical research of the actual Jacobian of modular curves, outcomes on computing weight one modular varieties, and extra.
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