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The Conference is supported by Mathematical Center in Akademgorodok under agreement No. 075-15-2022-282 with the Ministry of Science and Higher Education of the Russian Federation. The topics of the conference will include dynamical systems, geometry and related subjects. The program of the conference will include 40-minutes plenary talks and 20-minutes sectional talks. Organizers: Dynnikov I. A. (Steklov Mathematical Institute of RAS, Moscow) Guzev M. A. (Institute for Applied Mathimatics, FEB RAS, Vladivostok) Mironov A. E. (Sobolev Institute of Mathematics, Novosibirsk) Taimanov I. A. (Sobolev Institute of Mathematics, Novosibirsk) Trakhinin Yu. L. (Sobolev Institute of Mathematics, Novosibirsk) Local Organizers: Mauleshova G. S. (Sobolev Institute of Mathematics, Novosibirsk) Yermentay M. S. (Novosibirsk State University, Novosibirsk) The conference will be held in the Sobolev Institute of Mathematics of the Russian Academy of Sciences, 4 Academician Koptyug avenue, on February 27 - March 4, 2023. The arrival day at the conference is February 26 and the departure day is March 5, 2023. The Sobolev Institute of Mathematics is located in the Akademgorodok, a part of Novosibirsk which is an educational and scientific centre of Siberia. Akademgorodok is separated from the city and surrounded by a birch and pine forest on the shore of the Ob Sea, an artificial reservoir on the river Ob. In the beginning of spring Akademgorodok is covered by snow and the daytime air temperature is slightly below zero, which makes Akademgorodok a nice place for cross country skiing.