学术报告
Minicourse-An introduction to discrete conformal geometry of polyhedral surfaces-罗锋教授（Rutgers University）
短期课程班
主讲人：罗锋教授（Rutgers University）
题目：An introduction to discrete conformal geometry of polyhedral surfaces
摘要 :
The goal of the mini course is to introduce some of the recent developments on discrete conformal geometry of polyhedral surfaces.
We plan to cover the following topics.
1. The Andreev-Koebe-Thurston theorem on circle packing polyhedral metrics and Marden-Rodin’s proof
2. Thurston’s conjecture on the convergence of circle packings to the Riemann mapping and its solution by Rodin-Sullivan
3. Finite dimensional variational principles associated to polyhedral surfaces
4. A discrete conformal equivalence of polyhedral surfaces and its relationship to convex polyhedra in hyperbolic 3-space
5. A discrete uniformization theorem for compact polyhedral surfaces
6. Convergence of discrete conformality and some open problems.
Some of the references are:
[1] Luo, Feng, Rigidity of polyhedral surfaces, I. J. Differential Geom. 96 (2014), no. 2, 241–302.
[2] Gu, Xianfeng David; Luo, Feng; Yau, Shing-Tung, Recent advances in computational conformal geometry. Commun. Inf. Syst. 9 (2009), no. 2,
163–195.
[3] Luo, Feng, Gu, Xianfeng David; Dai, Junfei, Variational principles for discrete surfaces. [Author name on title page: Junei Dai]. Advanced Lectures in
Mathematics (ALM), 4. International Press, Somerville, MA; Higher Education
Press, Beijing, 2008.
时间：6月7日起每周一，周三下午3:00-4:10
（6月12-16日，7月9-14日不上课）
地点：
首都师范大学校本部新教二楼913教室
