Algebra, Arithmetic, and Geometry

Algebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists of
invited expository and research articles on new developments arising fromManin's outstanding contributions to mathematics.

Potential Automorphy of Odd-Dimensional Symmetric Powers of Elliptic Curves and Applications. - Cyclic Homology with Coefficients. - Noncommutative Geometry and Path Integrals. - Another Look at the Dwork Family. - Graphs, Strings, and Actions. - Quotients of Calabi Yau Varieties. - Notes on Motives in Finite Characteristic. - PROPped-Up Graph Cohomology. - Symboles de Manin et valeurs de fonctions L. - Graph Complexes with Loops and Wheels. - Yang Mills Theory and a Superquadric. - A Generalization of the Capelli Identity. - Hidden Symmetries in the Theory of Complex Multiplication. - Self-Correspondences of K3 Surfaces via Moduli of Sheaves. - Foliations in Moduli Spaces of Abelian Varieties and Dimension of Leaves. - Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities. - Rankin s Lemma of Higher Genus and Explicit Formulas for Hecke Operators. - Rank-2 Vector Bundles on ind-Grassmannians. - Massey Products on Cycles of Projective Lines and Trigonometric Solutions of the Yang Baxter Equations. - On Linnik and Selberg s Conjecture About Sums of Kloosterman Sums. - Une Algèbre Quadratique Liée à la Suite de Sturm. - Fields of u-Invariant 2r + 1. - Cubic Surfaces and Cubic Threefolds, Jacobians and Intermediate Jacobians. - De Jong-Oort Purity for p-Divisible Groups.