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Welcome: The 32nd International Colloquium on Group Theoretical Methods in Physics (Group32) will be held at Czech Technical University in Prague, Czech Republic, from Monday 9th July until Friday 13th July 2018. Arrival date 8th July and departure date 14th July. The ICGTMP series is traditionally dedicated to the application of symmetry and group theoretical methods in physics, mathematics and other sciencies, and to the development of mathematical tools and theories for progress in group theory and symmetries. Over the years, it has further broadened and diversified due to the successful application of group theoretical, geometric and algebraic methods in life sciences and other areas. The conference has an interdisciplinary character. It aims at bringing together experts and young researchers from different fields encouraging cross disciplinary interactionsю Conference venue: The conference GROUP32 will be held in : The Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Brehova 7, 110 00 Prague 1, Czech Republic. GROUP32-topics: 1. Representation theory 2. Symmetries in integrable systems 3. Symmetries in differential, difference and nonlinear equations 4. Infinite dimensional symmetries and supersymmetries 5. PT-symmetries, dynamical symmetries and superintegrability 6. Loop algebras, W-algebras, polynomial algebras 7. Q-algebras and groups, q-special functions 8. Superstrings, cosmology and quantum gravity 9. Conformal field theory 10. Foundations of quantum physics 11. Symmetries in particle physics 12. Noncommutative field theories 13. Symmetries in molecular, atomic and nuclear physics 14. Quantum optics, coherent states and quantum information 15. Condensed matter and statistical physics 16. Symmetries in biology, chemistry and etc. Plenary speakers: Caron-Huot Simon (McGill) Weyl medalist Jan-Willem van Holten (Amsterdam & Leiden) Horava Petr (Berkeley) Iachello Francesco (Yale) Isaev Alexei (Dubna) Kac Viktor (MIT) Kobayashi Toshiyuki (Tokyo) Lechtenfeld Olaf (Hannover) Marquette Ian (Brisbane) Ragoucy Eric (Annecy) Reshetikhin Nicolai (Berkeley) Tarasov Vitaly (Indianopolis) Tolstoy Valeriy (Moscow) Winternitz Pavel (Montreal) Wigner medalist Yu Li-Wei (Nankai)