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 Committee