Participants are invited to submit their contributions on any of the following topics:
- Integrable systems (including quantum and discrete) and applications
- Dynamical systems: Hamiltonian systems and dynamics in the complex domain
- Nonlinear waves, soliton equations and applications
- Nonlinear ODEs including Painleve' equations and isomonodromic deformations
- Symmetries and perturbative methods in the classification of integrable PDEs
- Infinite dimensional Lie algebras and integrable systems
- Orthogonal polynomials, random matrix theory
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: Solitary waves in applications
- MW2: Tropical geometry and ultradiscrete integrable systems
- MW3: Cluster algebras and integrability
- MW4: Dispersive Shock Waves: mathematical and physical aspects
MW 1: Solitary waves in applications
Coordinator: Mark J Ablowitz (University of Colorado, USA)
Description to follow
Review lecturer: Mark J Ablowitz (University of Colorado, Boulder, USA)
Communications: to be announced
MW2: Tropical geometry and ultradiscrete integrable systems
Coordinator: Rei Inoue (Chiba University, Japan)
Tropical geometry is a combinatorial algebraic geometry of min-plus (or max-plus) algebra, and ultradiscrete systems are some kind of piecewise linear maps. Both are developed during the last decade or two. We focus on the basic notion of tropical geometry and its recent applications to integrable (or non-integrable) ultradiscrete systems and other dynamical systems.
Review lecturer: Rei Inoue (Chiba University, Japan)
Communications: to be announced
MW3: Cluster algebras and integrability
Coordinator: Michael Shapiro (Michigan State University)
Description to follow.
Review lecturer: Michael Shapiro (Michigan State University)
Communications: to be announced
MW4: Dispersive Shock Waves: mathematical and physical aspects
Coordinator: Stefano Trillo, University of Ferrara
Dispersive shock waves are unsteady, strongly oscillatory structures that arise from the dispersive regularization of classical shock waves. They have attracted a lot of interest recently due to ground-breaking experiments in nonlinear optics and coherent matter waves. The workshop is aimed at discussing these results as well as recent progress made in their mathematical description, which involves both integrable and non-integrable PDE models, and different approaches that range from hydrodynamic reductions, to geometric methods, Whitham modulation theory and inverse scattering.
Review lecturer: Stefano Trillo, University of Ferrara
Communications: to be announced