Modern theory of dynamical systems is the study of iterations of mappings and of flows of vector fields (discrete- and continuous-time dynamical systems). The fundamental questions concern long-time behavior of orbits, both of individual dynamical systems and of family of systems depending on parameters.

There are two subfields of dynamical systems that are closely related to each other: real dynamics (hyperbolic theory, attractors, ergodic theory, real foliations) and complex dynamics (analytic theory of differential equations in the complex domain, holomorphic dynamics, holomorphic foliations). In the study of a real-analytic dynamical system, it is often helpful to consider its complexification and to use the methods of complex analysis, algebraic geometry, and the theory of complex dynamical systems. Reciprocally, the use of the classical methods of real dynamics (hyperbolic and ergodic theories, Lyapunov exponents) led to a considerable progress in complex dynamics and the theory of holomorphic foliations.

The main theme of the conference is the interface of real and complex dynamics, real and complex geometry and analysis. The talks of the conference will present recent results on this interface that belong to the area of dynamical systems and to related areas in real and complex geometry and analysis; including holomorphic foliations, finite-dimensional integrable systems, billiards and mathematical physics. The goal of the conference is to bring together leading experts in the field, along with researchers in the early stage of career and graduate students.

Program

Abstracts

Program Committee
Bufetov Alexander Igorevich
Glutsyuk Alexey Antonovich
Novikov Dmitry I
Yakovenko Sergei Yur'evich

Organizing Committee
Glutsyuk Alexey Antonovich (Chairman)
Oganesyan Vardan Spartakovich (Vice-chairman)
Bufetov Alexander Igorevich
Klimenko Alexey Vladimirovich
Lando Sergei Konstantinovich
Novikov Dmitry I
Paris-Romaskevich Olga
Skripchenko Alexandra Sergeevna
Timorin Vladlen Anatol'evich
Yakovenko Sergei Yur'evich

Financial support
The conference 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
National Research University Higher School of Economics, Moscow
Weizmann Institute of Science