Flows on surfaces, symbolic dynamics and dynamics in moduli spaces

General Information

Having a core in dynamics, the subject of the conference is located at the frontier between dynamics, geometry, topology, combinatorics, and representation theory. Certain classical problems of one-dimensional dynamics, of dynamics on surfaces, of billiards in polygons, of surface foliations, can be solved using the recent knowledge about the moduli spaces. Reciprocally, dynamical and geometric methods produce results about the moduli spaces which were difficult to obtain through pure algebro-geometric or complex-analytic approaches.

The conference is intended to put into contact experts in different aspects of the area (dynamics in moduli spaces, surface dynamics, surface foliations, horocyclic flow, symbolic dynamics, billiards in polygons), which, hopefully, would enrich everybody. It is expected that the talks would be accessible to graduate students and to non-specialists.

The conference is preceded by a brief school for graduate students (Thursday, December 1 to Saturday, December 3). The mini-courses of A. Bufetov, of J.-F. Quint, and of A. Zorich are intended to help to the graduate students get prepared for the conference.

Download conference poster (PDF, 549k)

The conference is organized by
Laboratoire J.-V. Poncelet
Independent University of Moscow
Steklov Mathematical Institute of RAS
Moscow Center for Continuous Mathematical Education
Institute for Information Transmission Problems of RAS

Organizing Committee:
Michael Blank, Alexander Bufetov, Alexei Glutsyuk, Pascal Hubert, Anton Zorich.

The conference is supported by

Centre National de la Recherche Scientifique	Russian Foundation for Basic Research	Dynasty Foundation	Agence Nationale de la Recherche	Russian Academy of Sciences