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

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 \(C^{1,\alpha=1-n/p}\) 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