[Todos CMAT] Seminario Dinámica- Sylvain Crovisier

Dr. Roberto Markarian roma en fing.edu.uy
Jue Dic 4 20:03:13 UYST 2014


Creo que podré ir a saludar a Sylvain e irme a las 15 hs, porque debo
firmar un Convenkio universitario con el rector de una universidad
de Lyon, con embajador, ministro, etc.
Saludos, rm

Rafael Potrie <rpotrie en cmat.edu.uy> escribió:

> Hola todos,
>
> Este *Viernes 5/12* a las *14.30* en el *IMERL* recibimos a Sylvain
> Crovisier <http://www.math.u-psud.fr/~crovisie/> (CNRS-Univ. Paris-Sud) que
> hablará sobre* "On the density of singular hyperbolic three-dimensional
> vector fields"*. Abajo encontrarán un resumen.
>
> Son todos bienvenidos,
>
>
> %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
> On the density of singular hyperbolic three-dimensional vector fields
>
> We will discuss vector fields on three-dimensional manifolds.
> For an open class of systems - the singular hyperbolic ones - the dynamics
> decomposes into finitely many transitive pieces (this includes hyperbolic
> basic sets and Lorenz attractors).
> On the other hand it is known that some simple bifurcations - the
> homoclinic tangencies - may generate systems with infinitely many disjoint
> attractors.
> Palis has conjectured that systems exhibiting either a homoclinic tangency
> or satisfying the singular hyperbolicity form a dense subset of the space of
> C^1 vector fields. We propose a proof of this conjecture. It requires to
> extend to local fibered flows the Mañé and Pujals-Sambarino's theorems
> about the uniform
> contraction of one-dimensional dominated bundles.
> This is a joint work with D. Yang.
> --
> Rafael Potrie
> rafaelpotrie en gmail.com
> http://www.cmat.edu.uy/~rpotrie/





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