Presented by: 
Haruko Nishi, Josai University
Tue 2 Feb, 3:00 pm - 4:00 pm


Thurston showed that the moduli space of configurations of n <= 3 points on the complex projective line can admit a family of hyperbolic metrics parameterized by sequences of real numbers (a_1, …, a_n) with 0<a_i<1  and \sum a_i=2, and their metric completions are (n-3)-dimensional complex hyperbolic cone manifolds. In this talk, I will discuss the real part of these cone manifolds by relating them to the moduli space of Euclidean polygons and present their polyhedral structures.