Much of our current understanding of non-perturbative dynamics of quantum field theories, and in particular of AdS/CFT duality, derives from the use of integrability methods. Quantum integrability methods were first used to obtain exact solutions of certain 1+1 dimensional quantum spin chains and Quantum Field Theories. But in the last decade, they were successfully applied to some higher-dimensional conformal supersymmetric gauge theories in the planar limit, such as 4dN=4 supersymmetric Yang-Mills theory and 3d ABJM. This allowed the exact computation of some of the most important physical quantities that appear, such as correlators, scattering amplitudes and Wilson loops amplitudes, to all orders in perturbation theory. In addition, classical and quantum integrability methods contributed significantly to progress in related subjects dealing with exact partition functions, localization methods and the so called AGT correspondence in topological and BPS sectors of various 4d N=1, 2 supersymmetric gauge theories. These Interrelated subjects have attracted considerable attention in recent years amongst leading researchers from around the world, ranging from high energy phenomenologists to string theorists and specialists in integrability methods. The resulting discoveries have become part of the mainstream developments linking modern quantum field theory to string theory. This workshop aims at a fruitful exchange of ideas and interactions amongst leading researchers working in various aspects of this field. About 70 scientists will take part in this two week sequence, giving talks on their research (3-4 per day) and participating in interactive discussion sessions.
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