Orateur
Xian Dai
(Université Côte d’Azur)
Description
In this talk, we will introduce maximal stretches and Mather sets for negatively curved Riemannian manifolds motivated from the study of Thurston's metric in Teichmuller space. The connection between maximal stretches and Mather-Aubry theory will be discussed. Related entropy properties of Mather sets will be described. If time permits, we will discuss the relations of Mather sets with best Lipschitz maps. This is joint work with Gerhard Knieper.