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This volume contains original research articles, survey articles
and lecture notes related to the Computations with Modular Forms
2011 Summer School and Conference, held at the University of
Heidelberg. A key theme of the Conference and Summer School was the
interplay between theory, algorithms and experiment. The 14 papers
offer readers both, instructional courses on the latest algorithms
for computing modular and automorphic forms, as well as original
research articles reporting on the latest developments in the
field. The three Summer School lectures provide an introduction to
modern algorithms together with some theoretical background for
computations of and with modular forms, including computing
cohomology of arithmetic groups, algebraic automorphic forms, and
overconvergent modular symbols. The 11 Conference papers cover a
wide range of themes related to computations with modular forms,
including lattice methods for algebraic modular forms on classical
groups, a generalization of the Maeda conjecture, an efficient
algorithm for special values of p-adic Rankin triple product
L-functions, arithmetic aspects and experimental data of Bianchi
groups, a theoretical study of the real Jacobian of modular curves,
results on computing weight one modular forms, and more.
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