The Laboratory of Topological Methods in Dynamics (TMD) was established in 2017 with personnel of the Department of Fundamental Mathematics of HSE of Nyzhny Novgorod as a basis. The Department was created in 2014, just after the launch of the new educational programme “Mathematics”. The core of the Department was made up of a group of research professors (namely D.Sc. Vyacheslav Grines, D.Sc. Evgeny Zhuzhoma, D.Sc. Nina Zhukova, D.Sc. Olga Pochinka, C.Sc. Elena Gurevich, C.Sc Alexey Kazakov, C.Sc. Vladislav Medvedev), who are actively working on the qualitative theory of dynamical systems and foliations as part of the school on nonlinear oscillations, founded by Andronov A. From the moment of its foundation to the present, the head of the laboratory is Olga Vitalievna Pochinka.
In July 2019, the Laboratory of Topological Methods in Dynamics acquired international status.
Since December 2019, the Topological Methods in Dynamics is operating under the Megagrants 220 project of the Government of the Russian Federation.
The Laboratory's supervisor is Dmitry Turaev, the largest specialist in the mathematical theory of dynamical systems. The Nizhny Novgorod school, to which Dmitry Turaev belongs, always has been and remains the leader in the theory of dynamical systems due to the unique combination of rigorous methods of topological and geometric analysis with applied research
nonlinear physical phenomena. The main tasks of the Laboratory are: to strengthen international relations and the prestige of the school, diversify and update the direction of research, organize effective cooperation between members of various disciplines, support young scientists.
The Department of Fundamental Mathematics of the Higher School of Economics and the International Laboratory of Dynamical Systems and Applications invite students who are interested in studying of various branches of mathematical science to participate in the student workshop “Mathematical Spring - 2020. Invitation to Dynamical Systems”.
Since 16 to 20 of December 2019 senior researcher A.O. Kazakov, N.V. Stankevich and D. Turaev, scientific director of the Laboratory of Topological Methods in Dynamics participated in the international conference "Quantization of Dissipative Chaos: Ideas and Means", organized by the physical center of the city of Bad Honnef with the support of the Wilhelm and Else Heraeus Foundation.
Report of I.D. Remizov at the seminar on the theory of operators under the guidance of A.A. Shkalikov at Moscow State University.
On November 29, 2019, Ivan Remizov gave a talk titled "Non-spectral approximation methods for C0 semigroups and the rate of convergence in Chernoff's theorem" at the Moscow State University at the seminar on operator theory led by corresponding member of the Russian Academy of Sciences A. Shkalikov.
Ivan Remizov made a talk at the seminar of the Faculty of Mechanics and Mathematics
From October, 20 to November, 2 laboratory staff Alexey Kazakov and Klim Safonov visited prof. Thomas Lazaro (Polytechnic University of Catalonia, Barcelona) and Arturo Vieiro (University of Barcelona).
At the laboratory of topological methods in dynamics, on October 17, the talks by Italian professors Valter Moretti and Sonya Mazzucchi were successfully held.
As part of the visit of Italian mathematicians Valter Moretti and Sonia Mazzucchi to the laboratory of topological methods in dynamics this week, three talks will be devoted to applications of functional analysis in mathematical physics and quantum theory.
Everyone is welcome. The first talk will be in Russian (with translation into English for Italians), the second and third talks will be in English (a translation into Russian can be arranged at the request of the audience).
On October 1, as part of the regular scientific seminar “Topological Methods in Dynamics”, a lecture by A. Pikovsky will be held on the topic “Strange non-chaotic attractors”. Time and place: from 15:30 to 17:00 in 314 (st. B. Pecherskaya, 25/12).
On September 26, N. N. Shamarov's talk “Infinite-dimensional pseudo-differential operators for the second quantization method” has been presented.
From September 16 to September 20, 2019 leading research fellow of Laboratory of Topological Methods in Dynamics and associate professor of the Department of Fundamental Mathematics A.O. Kazakov took part in conference organized by the Faculty of Applied Mathematics at the AGH University of Science and Technology to celebrate the 100th anniversary of the founding of the university