报告人：周杰（清华大学）

日期：2020年11月17日

时间：10:45-11:45

地点：理科LA106

摘要:In this presentation, we talk about a critical case of the Allard regularitytheorem. Combining with Reifenberg's topological disk theorem, we get a critical Allard-Reifenberg type $C^{\alpha}$-regularity theorem. As a main result, we get thetopological 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 assumption.

简介:周杰，清华大学博士后，研究领域为几何分析，近作Topology of surfaces with finite Willmore energy被International Mathematics Research Notices接受发表。

联系人：黄辉斥

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