Georgios Daskalopoulos
Brown University
February 20, 2025
Best Lipschitz maps: I will describe some joint work with Karen Uhlenbeck on best Lipschitz maps between surfaces. While our original motivation was to understand Thurston?s theory in Teichmüller space, it has connections with older ideas. I will first remind the listeners about infinity harmonic functions to the circle and describe their connection with geodesic laminations. The goal is to motivate several interesting, new, and, I believe, hard questions in analysis and their relation to topology.
Brown University
February 20, 2025
Best Lipschitz maps: I will describe some joint work with Karen Uhlenbeck on best Lipschitz maps between surfaces. While our original motivation was to understand Thurston?s theory in Teichmüller space, it has connections with older ideas. I will first remind the listeners about infinity harmonic functions to the circle and describe their connection with geodesic laminations. The goal is to motivate several interesting, new, and, I believe, hard questions in analysis and their relation to topology.