EVENT DETAILS AND ABSTRACT

Title: Centralizer rigidity for fibered partially hyperbolic diffeomorphisms
Speaker: Sven Sandfeldt
Speaker Info: KTH
Brief Description:
Special Note:
Abstract:

The smooth centralizer of a diffeomorphism $f$ is the set of smooth maps $g$ that commute with $f$. A conjecture due to Smale asserts that a generic $f$ has a small centralizer, consisting entirely of iterates of $f$. In this talk, I will discuss the centralizers for diffeomorphisms in a class of partially hyperbolic diffeomorphisms on nilmanifolds. In particular, I will discuss a rigidity result stating that a diffeomorphism, within this class, with a large centralizer is conjugated to a model system of algebraic origin.