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Integrable systems, both classical and quantum, share properties that make them easier to describe and study. It is therefore natural that many efforts are devoted to their study and that they found applications in diverse parts of mathematics and science: algebraic combinatorics, field and string theory, quantum information, orthogonal polynomials and special functions. The meeting will gather scientists from this broad horizon. It will also be the occasion to celebrate Prof. Luc Vinet’s 60th birthday. His scientific work has had a profound impact on many of the fields where integrability occurs.