May 19 – 27, 2025
Institut Henri Poincaré
Europe/Paris timezone

Maximal stretches and Mather sets in manifolds of negative curvature

May 21, 2025, 12:00 PM
1h
Amphithéâtre Hermite (Institut Henri Poincaré)

Amphithéâtre Hermite

Institut Henri Poincaré

11 rue Pierre et Marie Curie 75005 Paris

Speaker

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.

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