报告题目：Rigidity of the Delaunay triangulations of the plane

报告人：戴嵩副教授，天津大学

报告时间：2023年12月13日（周三）14:00-16:00

报告地点：腾讯会议：316-487-148

报告摘要：In this talk, we will show the rigidity of the Delaunay triangulated plane under Luo’s discrete conformality (also called the vertex scaling). More precisely, let T=(V,E,F) be a topological triangulation of the plane. Let l,l’ be two PL-metrics of T such that the induced distance structures are isometric to the plane. Suppose l and l’ are discrete conformal in the sense that there exists a function u on V such that l’_{ij}=e^{u_i+u_j}l_{ij}. We further assume l satisfies the Delaunay condition, l’ satisfies the uniformly Delaunay condition and both l and l’ satisfy the uniformly nondegenerate condition. Then l and l’ differ by a constant factor. This a joint work with Tianqi Wu.

报告人简介：戴嵩，本科毕业于南开大学，博士毕业于北京大学，现为天津大学副教授。主要研究方向为几何分析。代表作发表在JDG、Proc. LMS、Math Ann.、PMJ等期刊上。

邀请人：徐甜