Algebra, Arithmetic, and Geometry: Volume II: In Honor of Yu. I. Manin

ISBN-13: 9780817647469 / Angielski / Twarda / 2010 / 704 str.

Yuri Tschinkel;Yuri Zarhin

Opis

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. Kollar M. Kontsevich M. Larsen M. Markl L. Merel S.A. Merkulov M.V. Movshev E. Mukhin J. Nekovar 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"

Spis treści

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.

O autorze

The two volumes of Algebra, Arithmetic, and Geometry: In Honor of Y.I. Manin are composed of invited expository articles and extensions detailing Manin's contributions to the subjects, and are in celebration of his 70 th birthday.

Blurb

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.