Student Harmonic Analysis and PDE Seminar (HADES): An introduction to hyperbolic dynamics

Seminar | September 11 | 3:40-5 p.m. | 740 Evans Hall

 Semyon Dyatlov, UC Berkeley

 Department of Mathematics

I will show the Stable/Unstable Manifold Theorem for hyperbolic dynamical systems (maps and flows) which describes long time dynamics in a neighborhood of a given trajectory. Time permitting, I will also give examples of hyperbolic dynamical systems such as geodesic flows on manifolds of negative curvature and dispersive billiards. This talk will follow (a subset) of the notes