Participants are invited to submit their contributions on any of the following topics:
- Integrable and chaotic dynamical systems
- Analytic, algebraic and geometric aspects of Integrable Systems
- Mathematical methods in Quantum Mechanics
- Nonlinear phenomena and applications
In the general program there will be two types of communications:
- oral presentations (25 min. + 5 min. discussion)
- poster presentations (with an optional short oral presentation)
There will be no parallel sessions, therefore only a limited number of oral presentations will be scheduled. For this reason, there will be a selection process and all proposed communications will be peer reviewed.
In addition to the general program, the afternoon sessions will generally be organised in mini-workshops on the following specialized topics:
- MW1: Orthogonal polynomials, random matrix theory and integrable systems
- MW2: Perturbative techniques for integrable systems
- MW3: Integrable models of optical solitons
- MW4: Discrete integrable systems and Yang-Baxter maps
MW 1: Orthogonal polynomials, random matrix theory and integrable systems
Coordinator: Arno Kuijlaars (Katholieke Universiteit Leuven)
In recent years, the classical theory of orthogonal polynomials has found many interesting applications in random matrix theory and integrable systems. The aim of the workshop is to present and discuss a number of these developments. The main focus will be on asymptotic questions, where the Riemann-Hilbert method provides a powerful new tool.
Review lecturer: Arno Kuijlaars (Katholieke Universiteit Leuven)
Communications: to be announced
MW2: Perturbative techniques for integrable systems
Coordinator: Eugene Ferapontov (Loughborough University)
A useful point of view is to consider various classes of integrable equations as higher order perturbations of "simpler", or lower order equations. This includes such techniques as
- the theory of degenerate dispersion laws, which is a basis of the
perturbative symmetry approach; - dispersive deformations of equations of hydrodynamic type;
- the method of normal forms and asymptotic integrability, etc.
The aim of this mini-workshop is to review the current state of the art in this field.
Review lecturer: Boris Dubrovin (SISSA - ISAS)
Communications: to be announced
MW3: Integrable models of optical solitons
Coordinator: Antonio Degasperis (Universita di Roma "La Sapienza")
Systems of PDEs which model nonlinear wave propagation in optics play a particularly interesting role if they are both relevant to experiments and integrable. The second property (integrability) gives such models a very special status because of our capability of solving important problems such as, among others, construction of analytic soliton solutions, soliton interactions, stability, asymptotic states, conservation laws, parametric control. The aim of this miniworkshop is to bring together scientists working on both mathematical and experimental aspects of optical solitons.
Review lecturer: Antonio Degasperis (Universita di Roma "La Sapienza")
Communications: to be announced
MW4: Discrete Integrable Systems and Yang-Baxter maps
Coordinator: Yuri B. Suris (Technische Universitaet Muenchen)
Recently, there have been a substantial progress in our understanding of discrete integrable systems, along several lines. This includes, among other things: a geometric insight into the notion of integrability as multidimensional consistency, in particular integrability of Yang-Baxter maps; algebro-geometric criteria of integrability, like the algebraic entropy; interaction of integrability with the theory of cluster algebras and related mathematical structures; quantization of the basic structures of discrete differential geometry. The miniworkshop aims at highlighting some of these achievements.
Review lecturer: Alexander Veselov (Loughborough University)
Communications: to be announced