Speaker：Jie Zhou（Capital Normal University）

Time：2023-3-7, 09:00

Location：Tencent Meeting ID：859-772-689（No Password）

Abstract:

The classical Allard regularity says, a rectifiable varifold in the unit ball of the Euclidean space passing through the original point with volume density close to 1 and generalized mean curvature small in $L^p$ for some super-critical $p>n$ must be a C^{1,\alpha=1-n/p} graph with estimate. In this presentation, we discuss the critical case $p=n=2$ in two dimensional case. We get the bi-Lipschitz regularity and apply it to analysis the quantitative rigidity for $L^2$ almost CMC surfaces in $R^3$. This is a joint work with Yuchen Bi.