On Ushijima’s cell decomposition and discrete conformal mapping

Time：2023-10-18 Wed 19:00-20:00

Venue：A3-2-201

Organizer：Yi Liu, Chenliang Wang, Zhaoyuan Yu

Speaker： Xiang Zhu Shanghai University

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.

DATEOctober 18, 2023

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