What is... a twist map?

Talk by Fernando Argentieri

Date: 29.03.22  Time: 16.30 - 17.30  Room:

Exact symplectic twist maps are a classical topic in dynamics. The interest of these types of maps comes from the the work of Poincaré on the restricted 3 body problem and from the study of the dynamic of generic symplectic diffeomorphisms on a surface near an elliptic point . We give an overview of the Aubry-Mather theory and some connection between the regularity of minimizing irrational invariant sets and hyperbolicity.