威尼斯人娱乐场

Abstract

In this talk, we will introduce the canonical cell decomposition of Teichmuller space established by Ushijima, and compare the face relations to our own work on discrete conformal mapping. Then we will calculate several generalized Ptolemy equations on a hyperbolic surface. Finally, we will discuss some open problems on parameterization of Teichmuller space in order to make the face relations linear.