Dynamical Systems Seminar

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

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.
Date: Tuesday, February 13, 2024
Time: 4:00pm
Where: Lunt 104
Contact Person: Prof. Bryna Kra
Contact email: kra@math.northwestern.edu
Contact Phone: 847-491-5567
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