Jie Zhou (Tsinghua University):
Topology of Surfaces with Finite Willmore Energy
Time and place
Tuesday, 21.1.20, 16:00-17:00, Raum 404, Ernst-Zermelo-Str. 1
Abstract
In this talk, we care about the critical case of the Allard regularity theorem. Combining with Reifenberg's topological disk theorem, we get a critical Allard-Reifenberg type \(C^{\balpha}\) regularity theorem. As a main result, we get the topological finiteness for a class of properly immersed surfaces in \(\bmathbb{R}^n\) with finite Willmore energy. Especially, we prove a removability of singularity of multiplicity one surface with finite Willmore energy and a uniqueness theorem of the catenoid under no a priori topological finiteness assumption.\n