SMS 2017 - Overview
The theory of dynamical systems has witnessed very significant developments in the last decades. This progress was acknowledged by the fact that the field was granted 9 lectures at ICM2014. It is also worth mentioning that most of the work of two 2014 Fields medalists, Artur Avila and Maryam Mirzakhani fits into the field of dynamical systems. The theory of dynamical systems is a very broad area, which has both pure and applied mathematics aspects. In this school, we emphasize two main of recent developments, namely those of partial hyperbolicity on one side, and rigidity, group actions and renormalization on the other side, as well as four other related areas.