Algebra, arithmetic, and geometry v.I In honor of Y.I. Manin

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 70th birthday. Thewell-respected and distinguished contributors include: Behrend, Berkovich, Bost, Bressler, Calaque, Carlson, Chambert-Loir, Colombo, Connes, Consani, Dabrowski, Deninger, Dolgachev, Donaldson, Ekedahl, Elsenhans, Enriques, Etingof, Fock, Friedlander, Geemen, Getzler, Goncharov, Harris, Iskovskikh, Jahnel, Kaledin, Kapranov, Katz, Kaufmann, Kollár, Kontsevich, Looijenga, Marcolli, Markl,Merel, Merkulov, Movshev, Mukhin, Nekovar, Nikulin, Oort, Orlov, Pantchichkine, Penkov, Polishchuk, Sarnak, Schechtman, Ogievetsky, Tichomirov, Tsygan, vander Geer, Vasserot, Vishik, Voronov, Wodzicki, Zarhin, Zink. Contributed articles are written by distinguished and invited prominent researchers in the field Broad collection of topics reveals Y.I. Manin's wide range of research and influence The subjects covered range from mathematical logic to theoretical physics INDICE: From the contents Preface.- Introduction.- 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.- Del Pezzo moduli via root systems.- The Weil proof and the geometry of the adeles class space.- Elliptic curves with large analytic III(E).- p-adic entropy and a p-adic Fuglede - Kadison determinant.- Lie algebra theory without algebra.- Cycle classes of the E-O stratification on the moduli of abelianvarieties.- Experiments with general cubic surfaces.- Cluster ensembles, quantization and the dilogarithm II: The intertwiner.- Operads revisited.- 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.

• ISBN: 978-0-8176-4744-5
• Editorial: Birkhaüser
• Encuadernacion: Cartoné
• Páginas: 600
• Fecha Publicación: 01/09/2008
• Nº Volúmenes: 1
• Idioma: Inglés