Date/heure
23 septembre 2021
14:15 - 15:15
Oratrice ou orateur
Ivan Beschastnyi (Universidade de Aveiro)
Catégorie d'évènement Séminaire Théorie de Lie, Géométrie et Analyse
Résumé
Almost-Riemannian manifolds constitute a class of manifolds with singular metric tensors. They give rise to well defined metric spaces and can be seen as the simplest non-equiregular sub-Riemannian structures. They attracted a lot of interested lately due to the quantum confinement phenomena, which states that a quantum particle on some classes of almost-Riemannian manifolds is confined by the singularity, while a classical particle modelled by the geodesics is not. I will explain some results concerning this phenomena, including some recent works by myself and together with U. Boscain and E. Pozzoli.