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Integrable Systems: The Verdier Memorial Conference: Actes Du Colloque International De Luminy - Rilegato
Libro 17 di 169: Progress in Mathematics
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This book contains fifteen articles by eminent specialists in the theory of completely integrable systems, bringing together the diverse approaches to classical and quantum integrable systems and covering the principal current research developments. In the first part of the book, which contains seven papers, the emphasis is on the algebro-geometric methods and the tau-functions. Essential use of Riemann surfaces and their theta functions is made in order to construct classes of solutions of integrable systems. The five articles in the second part of the book are mainly based on Hamiltonian methods, illustrating their interplay with the methods of algebraic geometry, the study of Hamiltonian actions, and the role of the bihamiltonian formalism in the theory of soliton equations. The two papers in the third part deal with the theory of two-dimensional lattice models, in particular with the symmetries of the quantum Yang-Baxter equation. In the fourth and final part, the integrability of the hierarchies of Hamiltonian systems and topological field theory are shown to be strongly interrelated. In the overview that introduces the articles, Bennequin surveys the evolution of the subject from Abel to the most recent developments, and analyzes the important contributions of J.-L. Verdier to whose memory the book is dedicated. This book will be a valuable reference for mathematicians and mathematical physicists.
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Integrable Systems : The Verdier Memorial Conference: Actes du Colloque International de Luminy
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The Verdier Memorial Conference on Integrable Systems: Actes du Colloque International de Luminy (1991)
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Integrable Systems
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The Verdier Memorial Conference on Integrable Systems: Actes du Colloque International de Luminy (1991) (Progress in Mathematics)
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Integrable systems the Verdier memorial conference : actes du colloque international de Luminy Olivier Babelon, Pierre Cartier, Yvette Kosmann-Schwarzbach, ed. Progress in mathematics 115.
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Integrable systems the Verdier memorial conference : actes du colloque international de Luminy Olivier Babelon, Pierre Cartier, Yvette Kosmann-Schwarzbach, ed. Progress in mathematics 115.
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Boston, Birkhäuser [1993]., 1993
ISBN 10: 0817636536
ISBN 13: 9780817636531
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Hardcover. Condizione: Gut. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 58 INT 9780817636531 Sprache: Französisch Gewicht in Gramm: 1150. Codice articolo 2508421
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The Verdier Memorial Conference on Integrable Systems: Actes Du Colloque International de Luminy (1991)
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Hommage à Jean-Louis Verdier: au jardin des systèmes intégrables.- I. Algebro-Geometric Methods and -Functions.- Compactified Jacobians of Tangential Covers.- Heisenberg Action and Verlinde Formulas.- Hyperelliptic Curves that Generate Constant Mean Curvature Tori in 3.- Modular Forms as -Functions for Certain Integrable Reductions of the Yang-Mills Equations.- The -Functions of the gAKNS Equations.- On Segal-Wilson's Definition of the -Function and Hierarchies AKNS-D and mcKP.- The Boundary of Isospectral Manifolds, Bäcklund Transforms and Regularization.- II. Hamiltonian Methods.- The Geometry of the Full Kostant-Toda Lattice.- Deformations of a Hamiltonian Action of a Compact Lie Group.- Linear-Quadratic Metrics 'Approximate' any Nondegenerate, Integrable Riemannian Metric on the 2-Sphere and the 2-Torus.- Canonical Forms for Bihamiltonian Systems.- Bihamiltonian Manifolds and Sato's Equations.- III. Solvable Lattice Models.- Generalized Chiral Potts Models and Minimal Cyclic Representations of $${U_q}(widehat{gl}(n, C))$$).- Infinite Discrete Symmetry Group for the Yang-Baxter Equations and their Higher Dimensional Generalizations.- IV. Topological Field Theory.- Integrable Systems and Classification of 2-Dimensional Topological Field Theories.- List of Participants. 388 pp. Englisch. Codice articolo 9780817636531
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The Verdier Memorial Conference on Integrable Systems: Actes du Colloque International de Luminy (1991) (Progress in Mathematics)
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ISBN 10: 0817636536
ISBN 13: 9780817636531
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The Verdier Memorial Conference on Integrable Systems : Actes Du Colloque International de Luminy (1991)
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Buch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Hommage à Jean-Louis Verdier: au jardin des systèmes intégrables.- I. Algebro-Geometric Methods and -Functions.- Compactified Jacobians of Tangential Covers.- Heisenberg Action and Verlinde Formulas.- Hyperelliptic Curves that Generate Constant Mean Curvature Tori in 3.- Modular Forms as -Functions for Certain Integrable Reductions of the Yang-Mills Equations.- The -Functions of the gAKNS Equations.- On Segal-Wilson's Definition of the -Function and Hierarchies AKNS-D and mcKP.- The Boundary of Isospectral Manifolds, Bäcklund Transforms and Regularization.- II. Hamiltonian Methods.- The Geometry of the Full Kostant-Toda Lattice.- Deformations of a Hamiltonian Action of a Compact Lie Group.- Linear-Quadratic Metrics 'Approximate' any Nondegenerate, Integrable Riemannian Metric on the 2-Sphere and the 2-Torus.- Canonical Forms for Bihamiltonian Systems.- Bihamiltonian Manifolds and Sato's Equations.- III. Solvable Lattice Models.- Generalized Chiral Potts Models and Minimal Cyclic Representations of $${U_q}(widehat{gl}(n, C))$$).- Infinite Discrete Symmetry Group for the Yang-Baxter Equations and their Higher Dimensional Generalizations.- IV. Topological Field Theory.- Integrable Systems and Classification of 2-Dimensional Topological Field Theories.- List of Participants. Codice articolo 9780817636531
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