Seminar
| Parent Program: | |
|---|---|
| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Distorted and quasi-reducible diffeomorphisms of one-manifolds (joint work with Emmanuel Militon)
In this talk, I will show how three notions a priori quite different in nature turn out to be equivalent in the context of smooth interval diffeomorphisms: the group theoretic property of being distorted (in the sense of Gromov), the topological group theoretic property of being quasi-reducible (that is: having conjugates arbitrarily close to the identity), and the dynamical property of being part of a C^1 flow without hyperbolic fixed points. This will be the occasion to gather some key facts about interval diffeomorphisms of various regularities which happen to play an important role in the study of codimension one foliations.
No Notes/Supplements Uploaded