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The conference brings together a wide research community in the fields of mathematical programming and global optimization, discrete optimization, complexity theory and combinatorial algorithms, optimal control and games, and their applications in relevant practical problems of operations research, mathematical economy, and data analysis. MOTOR 2021 is a successor of the following well-known International and All-Russian conference series, which were held in Ural, Siberia, and the Far East for a long time: Baikal International Triennial School Seminar on Methods of Optimization and Their Applications (Irkutsk, Ulan-Ude), last event http://isem.irk.ru/conferences/mopt2017/en/index.html Mathematical Programming and Applications (Ekaterinburg), last event http://mpa.imm.uran.ru/96/en Discrete Optimization and Operations Research (Novosibirsk, Vladivostok), last event http://www.math.nsc.ru/conference/door/2016/ Optimization Problems and their Applications (Omsk), last event http://opta18.oscsbras.ru/en/