New examples of minimal laminations by hyperbolic surfaces

Géométrie Dynamique

Lieu: 
Salle Duhem M3
Orateur: 
Joaquin BRUM
Affiliation: 
Université de la Republica, Montevideo
Dates: 
Vendredi, 8 Février, 2019 - 10:15 - 11:15
Résumé: 
We will give ideas to construct a minimal lamination by hyperbolic surfaces L satisfying :
every non-compact surface topological type, is realized as a leaf of L. 
 
The example will be obtained as the inverse limit of a tower of finite coverings
$\ldots\to \Sigma_n\to\Sigma_{n-1}\to\ldots\to\Sigma_1\to\Sigma_0$
where $\Sigma_0$ is a closed hyperbolic surface.
 
To perform the mentioned construction we developed some relative versions of residual finiteness. 

This is a joint work with Sébastien Alvarez, Matilde Martínez and Rafael Potrie