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

ISBN-13: 9780817647445 / Angielski / Twarda / 2010 / 698 str.

Yuri Tschinkel;Yuri Zarhin

Opis

Algebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists of invited expository articles and new developments extending from Yuri I. Manin s outstanding contributions to algebra, algebraic geometry, number theory, algorithmic complexity, noncommutative geometry and mathematical physics. Among Manin s numerous achievements are the proof of the functional analogue of the Mordell conjecture, the theory of Gauss--Manin connection, the proof with V. Iskovskikh of the nonrationality of smooth quartic threefolds, the theory of $p$-adic automorphic functions, and the theory of quantum computations. Contributors in the first volume include: K. Behrend V.G. Berkovich J.-B. Bost P. Bressler D. Calaque J.F. Carlson A. Chambert-Loir E. Colombo A. Connes C. Consani A. Dabrowski C. Deninger I.V. Dolgachev S. K. Donaldson T. Ekedahl A.-S. Elsenhans B. Enriquez P. Etingof B. Fantechi V.V. Fock E.M. Friedlander B. van Geemen G. van der Geer E. Getzler A.B. Goncharov V.A. Iskovskikh J. Jahnel M. Kapranov E. Looijenga M. Marcolli B. Tsygan E. Vasserot M. Wodzicki"

Spis treści

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 Adelès 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.

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 first volume include:

K. Behrend, V.G. Berkovich, J.-B. Bost, P. Bressler, D. Calaque, J.F. Carlson, A. Chambert-Loir, E. Colombo, A. Connes, C. Consani, A. Da˛browski, C. Deninger, I.V. Dolgachev, S.K. Donaldson, T. Ekedahl, A.-S. Elsenhans, B. Enriquez, P. Etingof, B. Fantechi, V.V. Fock, E.M. Friedlander, B. van Geemen, G. van der Geer, E. Getzler, A.B. Goncharov, V.A. Iskovskikh, J. Jahnel, M. Kapranov, E. Looijenga, M. Marcolli, B. Tsygan, E. Vasserot, M. Wodzicki.