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The International Bogolyubov Conference Problems of Theoretical and Mathematical Physics will be held from September 9 to September 10, 2019 in Moscow at the Steklov Mathematical Institute RAS (MIRAN) and from September 11 to September 13, 2019 in Dubna at the Joint Institute for Nuclear Research (JINR). The Bogolyubov Conference-2019 is dedicated to the 110th anniversary of the birth of the outstanding Russian scientist - mathematician and physicist Nikolai Nikolaevich Bogolyubov (21.08.1909 - 13.02.1992). The main Conference topics: Mathematics and nonlinear mechanics Quantum field theory Elementary particle theory Statistical mechanics and kinetics Quantum theory of condensed matter Nuclear physics