Critical Allard regularity for 2-dimensional varifolds

[NTNU MATH-CAG Jointed Seminar on Geometric Analysis] 【07月05日】畢宇晨 / Critical Allard regularity for 2-dimensional varifolds

時　間：2023-07-05 14:00 (星期三) / 地　點：M210 

畢宇晨 博士 (中國科學院數學所)

The classical Allard regularity says, a rectifiable varifold in the unit ball of the Euclidean space passing through the origin with volume density close to 1 and generalized mean curvature small in $L_p$ for some super-critical $p>n$ must be a $C^{1,α=1−n/p}$ graph with estimate. In this presentation, we discuss the critical case $p=n=2$. 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 Jie Zhou.

Venue: https://us06web.zoom.us/j/87498894165?pwd=U0JzT3RTUGs2SmxFUHNMMjV3d2NuQT09