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Summer Graduate School

Séminaire de Mathématiques Supérieures 2017: Contemporary Dynamical Systems July 10, 2017 - July 21, 2017
Parent Program: --
Location: Montreal
Organizers Sylvain Crovisier (Université de Paris VI (Pierre et Marie Curie)-Université de Paris XI (Paris-Sud)), LEAD Konstantin Khanin (University of Toronto), Andrés Navas Flores (University of Santiago de Chile), Christiane Rousseau (Université de Montréal), Marcelo Viana (Institute of Pure and Applied Mathematics (IMPA)), Amie Wilkinson (University of Chicago)
Description

This summer school will focus on Contemporary Dynamical Systems.  The theory of dynamical systems has witnessed very significant developments in the last decades, includi​n​g the work of two 2014 Fields medalists, Artur Avila and Maryam Mirzakhani. ​The school will concentrate on the recent significant developments in the field of dynamical systems and present some of the present main streams of research. Two central themes will be those of partial hyperbolicity on one side, and rigidity, group actions and renormalization on the other side.​ ​Other themes will ​include homogeneous dynamics and geometry and dynamics on infinitely flat surfaces (both providing connections to the work of Maryam Mirzakhani), topological dynamics, thermodynamical formalism, singularities and bifurcations in analytic dynamical systems.  

Suggested prerequisites:

  • ​a first graduate course in differential geometry
  • a course in general topology
  • an undergraduate training in multivariate calculus and probability
  • a graduate course in measure theory
  • a basic knowledge of dynamical systems, for instance with the book "Ordinary Differential Equations with Applications" by Carmen Chicone, Springer, Chapters 1-4, 8.

Special restrictions (for MSRI Support):

  1. In addition to the nomination at MSRI, a separate application via the SMS Homepage is required to participate in this workshop.
  2. Participation is subject to selection by the organizers
  3. Due to the small number of students supported by MSRI, only one student per institution will be funded by MSRI. Additional students are highly encouraged to apply directly via the SMS Homepage

For eligibility and how to apply, see the Summer Graduate Schools homepage

 
 
 
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords

  • dynamical systems

  • partial hyperbolicity

  • renormalization

  • ergodic theory

  • groups and dynamics

  • homogeneous dynamics

  • topological dynamics

  • Lyapunov exponents

  • analytic dynamics

  • singularities

  • thermodynamical formalism

  • infinite type flat surfaces

  • random walks on groups

  • rigidity

  • surface homeomorphisms

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC