Participants are invited to submit their contributions on any of the following topics:Integrable systems (including quantum and discrete) and applicationsDynamical systems: Hamiltonian systems and dynamics in the complex domainNonlinear waves, soliton equations and applicationsNonlinear ODEs including Painleve' equations and isomonodromic deformationsSymmetries and perturbative methods in the classification of integrable PDEsInfinite dimensional Lie algebras and integrable systemsOrthogonal polynomials, random matrix theoryIn 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 aspectsMW 1: Solitary waves in applicationsCoordinator: Mark J Ablowitz (University of Colorado, USA)Review lecturer: Mark J Ablowitz, A world of nonlinear waves: from beaches to photonic latticesCommunications: Bakirtas Akar Ilkay, Vortex Solitons in Complex 2D Nonlinear Lattices Fabio Baronio, Deterministic Freak Waves of Vector Nonlinear Schroedinger Equations Christopher Curtis, Conservation laws and web-solutions for the Benney-Luke equation Kenichi Maruno, Two-dimensional interaction of weakly nonlinear solitary waves in shallow water: the Benney-Luke equation and the KP equation Barbara Prinari, Coupled Maxwell-Bloch equations with inhomogeneous broadening for a 3-level system MW2: Tropical geometry and ultradiscrete integrable systemsCoordinator: 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, Tropical geometry and integrable systemsCommunications:Shinsuke Iwao, The initial value problem of two dimensional box ball systemsFolkert Mueller-Hoissen, A tropical view of KdV and KP soliton interactionsAtsushi Nobe, Integrable maps arising from the addition on tropical elliptic curvesKazuya Tohge, Introduction to Tropical Nevanlinna theoryMW3: Cluster algebras and integrabilityCoordinator: Michael Shapiro (Michigan State University, USA)Review lecturer: Andrei Zelevinsky (Northeastern University, USA), Introduction to cluster algebrasCommunications:Leonid Chekhov, Riemann surfaces with orbifold points and cluster varietiesMisha Gekhtman, Cluster Algebras and Higher Pentagram MapsHugh Thomas, An introduction to categorification of cluster algebrasMW4: Dispersive Shock Waves: mathematical and physical aspectsCoordinator: Stefano Trillo, University of FerraraDispersive 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, Disperisve shock waves from predictions to experimentsCommunications:Matteo Conforti, Dispersive shock waves in mismatched second harmonic generationTamara Grava, Semiclassical limit of nonlinear Schroedinger type equations:universality of critical behaviourJason Fleisher, Disperisve Raleigh-Taylor instabilityMark Hoefer, Dispersive shock waves in viscously deformable fluids Stephanos Venakides, Higher breaking in the focusing nonlinear Schroedinger equation