Speaker: Bi Yuchen, postdoctoral, Beijing International Center for Mathematical Research

Date: November 26, 2024

Time: 14:00-15:00 pm

Location: B926, Zhixin Building, Shandong University

Sponsor: School of Mathematics, Shandong University

Abstract:

I will talk about a stability result for integral two-varifolds with square integrable generalized mean curvature. We show that if theL²-norm of this mean curvature is sufficiently closed to 16π, then the varifold isW^{2, 2}-close to a round sphere. In the smooth setting this result was first shown by DeLellis and Miiller for surfaces in the three-dimensional Euclidean space and later by Lamm and Schätzle in arbitrary codimensions. This is a joint work with Jie Zhou.

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