Algebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists ofinvited expository and research articles on new developments arising fromManin's outstanding contributions to mathematics.
Inhaltsverzeichnis
Preface. - Introduction. - K. Behrend, B. Fantecci, Gerstenhaber and Batalin-Vilkovisky structures on Lagrangian intersections. - V. Berkovich, A non-Archimedean interpretation of the weight zero subspaces of limit mixed Hodge structures. - J. -B. Bost, A. Chambert-Loir, Analytic curves in algebraic varieties over number fields. - P. Bressler, M. Kapranov, B. Tsygan, E. Vasserot, Riemann-Roch for real varieties. - E. Colombo, B. van Geemen, E. Looijenga, Del Pezzo moduli via root systems. - A. Connes, C. Consani, M. Marcolli, The Weil proof and the geometry of the adeles class space. - A. Dabrowski, M. Wodzicki, Elliptic curves with large analytic III(E). - C. Deninger, p-adic entropy and a p-adic Fuglede - Kadison determinant. - S. Donaldson, Lie algebra theory without algebra. - T. Ekedahl, G. van der Geer, Cycle classes of the E-O stratification on the moduli of abelian varieties. - A. -S. Elsenhans, J. Jahnel, Experiments with general cubic surfaces. - V. V. Fock, A. Goncharov, Cluster ensembles, quantization and the dilogarithm II: The intertwiner. - E. Getzler, Operads revisited. - M. Harris, Potential automorphy of odd-dimensional symmetric powers of elliptic curves, and applications. - D. Kaledin, Cyclic homology with coefficients. - M. Kapranov, Noncommutative geometry and path integrals. - N. Katz, Another look at the Dwork family. - R. Kaufmann, Graphs, strings and actions. - J. Kollár, M. Larsen, Quotients of Calabi-Yau varieties. - M. Kontsevich, Notes on motives in finite characteristic. - L. Merel, Symboles de Manin et valeurs de fonctions L. -M. Markl, A. Voronov, PROPped up graph cohomology. - S. Merkulov, Graph complexes with loops and wheels. - M. Movshev, Yang-Mills theory and a superquadric. - E. Mukhin, V. Tarasov, A. Varchenko, A generalization of the Capelli identity. - J. Nekovar, Hidden symmetries of the theory of complex multiplication. - V. Nikulin, Correspondences of a K3 surface with itself via moduli of sheaves, I. -O. Ogievetsky, V. Schechtman, Uneintersection des quadriques liée à la suite de Sturm. - F. Oort, Foliations in moduli spaces of abelian varieties and dimension of leaves. - D. Orlov, Derived categories of coherent sheaves and triangulated categories of singularities. - A. Panchishkin, K. Vankov, Rankin's lemma of higher genus and explicit formulas for Hecke operators. - A. Polishchuk, Massey products on cycles of projective lines and trigonometric solutions of the Yang-Baxter equations. - A. Vishik, Fields of $u$-invariant $2^r+1$. - Y. Zarhin, Cubic surfaces and cubic threefolds, jacobians and intermediate jacobians. - Index.