北航基础数学系学术报告

-----微分几何讨论班（2021秋第11讲）

题目：Combinatorial Ricci flows and special polyhedral metrics on compact triangulated surfaces

报告人：林爱津 副教授（国防科技大学）

时间：2021年11月23日 10:00-11:00

腾讯会议会议号：982 7145 2005

摘要：The Ricci flow is a powerful technique to deform the metrics on a manifold, which leads to many important results, e.g. the solution of Poincare’s conjecture. For a triangulated surface, Chow and Luo introduced the combinatorial Ricci flow and gave an alternative proof of

the celebrated Andreev-Koebe-Thurston's circle packing theorem. In this talk we will discuss some variants of Chow-Luo’s combinatorial Ricci flow and give some existence theorems on special polyhedral metrics on compact triangulated surfaces under some combinatorial conditions.

Our work is inspired by the recent progress (2021' Geom. Topol.) made by Feng-Ge-Hua on Thurston's "geometric ideal triangulation" conjecture by using combinatorial Ricci flow methods. This is a joint work with Prof. Huabin Ge.

报告人简介：林爱津，国防科技大学副教授。主要研究方向为微分几何，特别是典则度量与几何曲率流的相关研究，在国际期刊Adv. Math., JFA, JGA, MRL 等发表研究论文多篇。

邀请人：沈良明