This course will be helpful for students who want to do research in the field of many-particle physics. It is proposed to study the current concepts of this area, which are routinely used in modern research. At the end of the course, the student should have skills that allow them to effectively formulate, analyze and solve scientific problems. In particular, such issues as the computational complexity of problems and its reduction, symmetries of many-particle systems, quantum integrability, dynamical integrability, the relationship between spectral statistics and the theory of random matrices, thermalization, as well as the mechanisms of its violation - quantum scars, disorder, etc. will be discussed. It is expected that course participants have mastered the standard university course in quantum mechanics or are in the process of learning it.

Lecturer
Ermakov Igor Vladimirovich

Financial support
The course is supported by the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, Agreement no. 075-15-2022-265).

Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center