Olivetti Club

Isaac Broudy
An Introduction to Anosov Flows on 3-Manifolds.

Tuesday, September 24, 2024 - 4:35pm
Malott 406

Anosov flows on 3-manifolds are a type of hyperbolic dynamical system which exhibit chaotic behavior. In most cases, chaotic dynamical systems are hopelessly complex; however, the study of Anosov flows has been very successful. Anosov flows exhibit many interesting phenomena such as structural stability property, connections to the topology of the 3-manifold supporting them, ergodicity, and more. In this talk, we will introduce Anosov flows and some classical examples, discuss the aforementioned properties, and mention progress towards a classification theorem.