Algebra, arithmetic, and geometry : in honor of Yu. I. Manin

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Algebra, arithmetic, and geometry : in honor of Yu. I. Manin

Yuri Tschinkel, Yuri Zarhin, editors

(Progress in mathematics, v. 269-270)

Birkhäuser, c2009

  • v. 1
  • v. 2

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Note

Two contributions in French

Includes bibliographical references

Description and Table of Contents

Volume

v. 1 ISBN 9780817647445

Description

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.

Table of Contents

Gerstenhaber and Batalin-Vilkovisky Structures on Lagrangian Intersections.- A Non-Archimedean Interpretation of the Weight Zero Subspaces of Limit Mixed Hodge Structures.- Analytic Curves in Algebraic Varieties over Number Fields.- Riemann-Roch for Real Varieties.- Universal KZB Equations: The Elliptic Case.- Exact Category of Modules of Constant Jordan Type.- Del Pezzo Moduli via Root Systems.- The Weil Proof and the Geometry of the Adeles Class Space.- Elliptic Curves with Large Analytic Order of ?(E).- p-adic Entropy and a p-adic Fuglede-Kadison Determinant.- Finite Subgroups of the Plane Cremona Group.- Lie Algebra Theory without Algebra.- Cycle Classes of the E-O Stratification on the Moduli of Abelian Varieties.- Experiments with General Cubic Surfaces.- Cluster Ensembles, Quantization and the Dilogarithm II: The Intertwiner.- Operads Revisited.
Volume

v. 2 ISBN 9780817647469

Description

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.

Table of Contents

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 Algebre Quadratique Liee a 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.

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