For more information about this meeting, contact Anatole Katok, Aaron Brown, Dmitri Burago.
|Title:||Conservative diffeomorphisms from a C^1 generic perspective. ATTENTION : THIS SEMINAR WILL BEGIN AT 4:40PM|
|Seminar:||Center for Dynamics and Geometry Seminars|
|Speaker:||Amie Wilkinson, University of Chicago|
|Let $M$ be a closed manifold endowed with a volume form. I will discuss two related results about the volume-preserving diffeomophisms of $M$, which are recent work with Artur Avila and Sylvain Crovisier. Theorem A: Consider the set of all $C^1$, volume-preserving diffeomorphisms of $M$ endowed with the $C^1$ topology. Then there is a residual subset $R$ so that for every $f\in R$, if $f$ has positive metric entropy, then $f$ is ergodic and nonuniformly Anosov. Theorem B: Among the set of all $C^r$, partially hyperbolic diffeomorphisms of $M$, with $r\geq 2$, stable ergodicity is $C^1$ dense.
ATTENTION : THIS SEMINAR WILL BEGIN AT 4:40PM|
Room Reservation Information
|Date:||03 / 21 / 2012|
|Time:||03:35pm - 05:30pm|