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The XXVth International Conference on Integrable Systems and Quantum symmetries (ISQS-25) is organized by the Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University Prague and the Bogoliubov Laboratory of Theoretical Physics of the Joint Institute for Nuclear Research. It will be held in Prague, Czech Republic, from June 6 till June 10, 2017. The XXVth International Conference on Integrable Systems is one of a series of annual meetings held at the Czech Technical University since 1992 and is devoted to problems of mathematical physics related to the theory of integrable systems, quantum groups and quantum symmetries. During the last 3 years each of the conferences gathered each year around 100 scientists from all over the world. Plenary lectures and contributions presented at these conferences were published in the Czechoslovak Journal of Physics, Reports on Mathematical Physics, Symmetry, Integrability and Geometry: Methods and Applications and Journal of Physics: Conference Series.