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"New Trends in Mathematical Physics" is a conference devoted to actively developing branches of mathematical physics, in particular, theory of open quantum systems and quantum thermodynamics, dynamics of complex and biological systems, mathematical structures arising in quantum theory, general relativity, high-energy physics and condensed matter physics. The conference is aimed at the collaboration of specialists working in various fields of mathematical physics. Subjects of the conference: Open quantum systems, quantum thermodynamics, and stochastic limit p-adic mathematical physics Invariant measures and integrability Geometric theory of defects Black holes and information paradox Holographic approach to thermalization and chaos Modified gravity and cosmology