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 from Manin's outstanding contributions to mathematics.

Contributors in the second volume: M. Harris, D. Kaledin, M. Kapranov, N.M. Katz, R.M. Kaufmann, J. Kollár, M. Kontsevich, M. Larsen, M. Markl, L. Merel, S.A. Merkulov, M.V. Movshev, E. Mukhin, J. Nekovár, V.V. Nikulin, O. Ogievetsky, F. Oort, D. Orlov, A. Panchishkin, I. Penkov, A. Polishchuk, P. Sarnak, V. Schechtman, V. Tarasov, A.S. Tikhomirov, J. Tsimerman, K. Vankov, A. Varchenko, A. Vishik, A.A. Voronov, Yu. Zarhin, Th. Zink.

Texte du rabat

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

Contributors in the second volume: M. Harris, D. Kaledin, M. Kapranov, N.M. Katz, R.M. Kaufmann, J. Kollár, M. Kontsevich, M. Larsen, M. Markl, L. Merel, S.A. Merkulov, M.V. Movshev, E. Mukhin, J. Nekovár, V.V. Nikulin, O. Ogievetsky, F. Oort, D. Orlov, A. Panchishkin, I. Penkov, A. Polishchuk, P. Sarnak, V. Schechtman, V. Tarasov, A.S. Tikhomirov, J. Tsimerman, K. Vankov, A. Varchenko, A. Vishik, A.A. Voronov, Yu. Zarhin, Th. Zink.

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

Contenu
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 CalabiYau 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.- YangMills 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 YangBaxter 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.