| Abstract |
In the 1980s, Thurston introduced a new (asymmetric) metric on Teichmüller space based on best Lipschitz maps between two homeomorphic hyperbolic surfaces, instead of quasi-conformal maps which are used in the original theory of Teichmüller. In this series of lectures, I will explain his theory and discuss recent progress in the field.
Three lectures will cover the following topics, but I may also add other materials.
(1) General theory of Thurston’s asymmetric metric
(2) Geodesics with respect to Thurston’s metric
(3) Infinitesimal structures of Teichmüller space with Thurston’s metric |
