Integrable Systems

The Verdier Memorial Conference Actes du Colloque International de Luminy

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.