Algebra, Arithmetic, and Geometry

Volume I: In Honor of Yu. I. Manin
Herausgegeben:Tschinkel, Yuri; Zarhin, Yuri G.

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Progress in Mathematics 269
• Verlag: Birkhäuser / Birkhäuser Boston / Springer, Basel
• Artikelnr. des Verlages: 12084968, 978-0-8176-4744-5
• 2009 edition
• Seitenzahl: 698
• Erscheinungstermin: 9. April 2010
• Englisch
• Abmessung: 244mm x 164mm x 57mm
• Gewicht: 1210g
• ISBN-13: 9780817647445
• ISBN-10: 0817647449
• Artikelnr.: 23589828

Autorenporträt

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.

Inhaltsangabe

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.

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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.