The Verdier Memorial Conference on Integrable Systems: Actes Du Colloque International de Luminy (1991)

By Y. Kosmann-Schwarzbach and Yvette Kosmann-Schwarzbach

Hommage ? Jean-Louis Verdier: au jardin des syst?mes int?grables.- 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, B?cklund 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.

• Format: Hardcover
• Language: English
• ISBN: 0817636536
• ISBN13: 9780817636531
• Release Date: February 1993
• Publisher: Birkhauser
• Length: 388 Pages
• Weight: 1.62 lbs.
• Dimensions: 1.0" x 6.0" x 9.0"