Speaker: Estibalitz Durand Cartagena (UNED) https://www.uned.es/universidad/docentes/en/industriales/estibalitz-durand-cartagena.html
Title: Self-contracted curves: recent developments and applications
Abstract:
Self-contracted curves were introduced to provide a unified framework for the study of convex and quasiconvex gradient dynamical systems in the euclidean setting. However, the definition of self-contractedness is purely metric and does not require any regularity neither on the space, nor on the curve. In this expository talk we will recall motivations, main ideas and results concerning this notion, presenting the current state of the art for future developments.