Summer Graduate School
This summer school will focus on Contemporary Dynamical Systems. The theory of dynamical systems has witnessed very significant developments in the last decades, including 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.
- 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):
- In addition to the nomination at MSRI, a separate application via the SMS Homepage is required to participate in this workshop.
- Participation is subject to selection by the organizers
- 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
groups and dynamics
infinite type flat surfaces
random walks on groups