题目：The Analysis and Geometry of Isometric Embedding

报告人：徐国义 副教授 （清华大学 数学科学系）

地点：致远楼108室

时间🚴🏿‍♂️：2019年6月19日下午 3🧖🏻‍♂️：00-4👩🏻‍🚒：00

Abstract: In 1950’s, Nash-Kuiper built up the C^1 isometric embedding for any surface into $/mathbb{R}^3$, this can be viewed as analysis side of isometric embedding. On the other hand, there is obstruction for the existence of $C^2$ isometric embedding of surface into $/mathbb{R}^3$ known since Hilbert, which reflects the geometry flavor of isometric embedding. What’s happening from $C^1$ to $C^2$ (from analysis to geometry)? We will present our partial progress along this direction. The talk will be accessible to audience with basic knowledge of analysis and differential geometry.

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