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科学研究
报告题目:

Boundary metric of Epstein-Penner convex hull and discrete conformality

报告人:

聂鑫 教授(东南大学)

报告时间:

报告地点:

Zoom会议号: 864 2007 1272 密码: 635885

报告摘要:

The Epstein-Penner construction associates to each decorated punctured hyperbolic surface a convex body in the Minkowski space. On the other hand, as discovered by Bobenko-Pinkall-Sprinborn, Luo's notion of discrete conformality is also related to punctured hyperbolic surfaces via polyhedra in the hyperbolic 3-space. We will explain (1) how E-P and B-P-S are essentially inverse to each other; and (2) how E-P works in (anti-)de-Sitter space and allows us to generalize (1) from flat metrics to hyperbolic and spherical ones.