Université Paris-Est Université Paris-Est - Marne-la-Vallée Université Paris-Est - Créteil Val-de-Marne Centre National de la Recherche Scientifique

Gromov hyperbolicity of the Kobayashi metric

Site: 
Date: 
01/06/2015 - 11:00 - 12:00
Salle: 
P2 131
Orateur: 
SESHADRI Harish
Localisation: 
Institut Indien des Sciences de Bangalore
Localisation: 
Inde
Résumé: 

Every domain in ${\mathbb C}^n$ has a host of intrinisc Finsler metrics associated to it. In this talk we focus on one of them, the Kobayshi metric and consider the question of when this metric is negatively curved in the sense of Gromov. It is not difficult to see that if the domain is strictly convex then the Kobayashi is negatively curved. The case of weakly convex domains is subtler. We discuss this case and related questions about negative curvature of domains.

The content of this talk is joint work with Herve Gaussier.