Coding of hyperbolic diffeomorphisms.

Seminar: 
Learning seminar on Groups, Geometry and Dynamics
Event time: 
Friday, February 13, 2026 - 4:00pm
Location: 
KT 217
Speaker: 
Ethan Cohen
Event description: 

I’ll discuss how to leverage symbolic dynamics to understand Anosov diffeomorphisms of surfaces, starting with the most basic case of linear total automorphisms. The key idea is the construction of so-called Markov partitions that code the dynamics of the diffeomorphism. 

More recently, the same ideas have been extended to prove new results about general diffeomorphisms of manifolds.