Date/heure
3 mars 2026
10:45 - 11:45
Lieu
Salle de conférences Nancy
Oratrice ou orateur
Estibalitz DURAND-CARTAGENA
Catégorie d'évènement Séminaire Équations aux Derivées Partielles et Applications (Nancy)
Résumé
In this talk, we will study a class of metric spaces that satisfy a strengthened version of the triangle inequality, known as metric spaces with small rough angles (SRA), and that capture the idea that all metric angles determined by triples of points are, in a certain sense, small. We will explore different scenarios in which an arbitrary metric space may fall into one of two possibilities: either it does not contain sufficiently large subsets satisfying the SRA condition, or it admits arbitrarily large subsets that do satisfy this property. We will also see that these conditions are particularly relevant for investigating whether self-contracted curves, a class of curves that provides a natural framework for the study of convex gradient-type dynamical systems, have finite length.