Tsaghkadzor, Armenia, November 20-25, 2023
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.
The conference will take place
on the occasion of the 80th
anniversary of professor Yulij Ilyashenko.
Kristian Bjerklov* (KTH, Stockholm, Sweden)
Bertrand Deroin (CNRS, Cergy-Paris Université)
Dmitry Filimonov (HSE University, Moscow,
Russia)
Natalia Goncharuk* (Texas A & M University, USA)
Anton Gorodetski (UC Irvine, USA)
Pascal Hubert
(Université Aix-Marseille, France)
Yulij
Ilyashenko (HSE
University and the Independent University of
Moscow, Russia)
Vadim Kaloshin
(Institute of Science and Technology, Austria)
Konstantin Khanin
(University of Toronto, Canada)
Askold Khovanskii
(University of Toronto, Canada)
Victor Kleptsyn
(CNRS,
Université de Rennes - 1, France)
Alexey Klimenko
(Steklov Institute, Moscow, Russia)
Valery Kozlov
(Steklov Institute, Moscow, Russia)
Raphaël Krikorian (Université Cergy Paris, France)
Yury Kudryashov*
(Texas A & M University, USA)
Frank Loray (CNRS, Université de Rennes - 1, France)
Mikhail Lyubich (Stony Brook University, USA)Laura Ortíz-Bobadilla (UNAM, Mexico, Mexico)
Olga Pochinka (HSE University, Nizhny Novgorod, Russia)
Ernesto Rosales
González (UNAM, Mexico,
Mexico)
Maria Saprykina (KTH, Stockholm, Sweden)
Ivan Shilin (HSE University, Moscow, Russia)
Alexandra Skripchenko
(HSE University, Moscow, Russia)
Laurent Stolovitch (CNRS, Université Côte d'Azur,
Nice, France)
Sergei Tabachnikov (Penn State University, USA)
Dmitry Treschev
(Steklov Institute, Moscow, Russia)
Sergei Voronin (Chelyabinsk State University, Russia)
* - To be
confirmed