Canal-U

Mon compte
Institut Fourier

V. Franceschi - Sub-riemannian soap bubbles


Copier le code pour partager la vidéo :
<div style="position:relative;padding-bottom:56.25%;padding-top:10px;height:0;overflow:hidden;"><iframe src="https://www.canal-u.tv/video/institut_fourier/embed.1/v_franceschi_sub_riemannian_soap_bubbles.47389?width=100%&amp;height=100%" style="position:absolute;top:0;left:0;width:100%;height: 100%;" width="550" height="306" frameborder="0" allowfullscreen scrolling="no"></iframe></div> Si vous souhaitez partager une séquence, indiquez le début de celle-ci , et copiez le code : h m s
Auteur(s) :
FRANCESCHI Valentina

Producteur Canal-U :
Institut Fourier
Contacter le contributeur
J’aime
Imprimer
partager facebook twitter Google +

V. Franceschi - Sub-riemannian soap bubbles

The aim of this seminar is to present some results about minimal bubble clusters in some sub-Riemannian spaces. This amounts to finding the best configuration of m ∈ N regions in a manifold enclosing given volumes, in order to minimize their total perimeter. In a n-dimensional sub-Riemannian manifold, the perimeter is a non-isotropic (n − 1)-dimensional measure that is defined according to the geometry. After an introduction to the subject, we will present some results concerning the cases m = 1 (isoperimetric problem) and m = 2 (double bubble problem), in a class of sub-Riemannian structures connected to the Heisenberg geometry. This is the framework of an open problem about the shape of isoperimetric sets, known as Pansu’s conjecture. The results that will be presented are based on joint works with Roberto Monti (University of Padova) and with Giorgio Stefani (SNS, Pisa).

 

commentaires


Ajouter un commentaire Lire les commentaires
*Les champs suivis d’un astérisque sont obligatoires.
Aucun commentaire sur cette vidéo pour le moment (les commentaires font l’objet d’une modération)
 

Dans la même collection

FMSH
 
Facebook Twitter Google+
Mon Compte