CHINA·77779193永利(集团)有限公司-Official website

度量几何暑期学术报告

Title: Topology of surfaces with finite Willmore energy

Speaker: 周杰  (清华大学)

Abstract

In this presentation, we care about the critical case of Allard's regularity theorem and its applications. By combining Allard's original method with Reifenberg's topological disk theorem, we get a critical Allard-Reifenberg type regularity theorem. As a main result, we get the topological finiteness for a class of properly immersed surfaces in R^n with finite Willmore energy. Especially, we prove the removability of isolated singularity of multiplicity one surfaces with finite Willmore energy and a uniqueness theorem of the catenoid under no a priori topological finiteness or geometric finiteness assumption.

北京时间：2021年7月8日（周四）上午9:00—11:00
线下报告教室：新教二楼610
线上腾讯会议ID：560 2435 5145
联系人：胥世成
欢迎老师和同学们参加！