[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 [latex]L^p[/latex] for some super-critical [latex]p>n[/latex] must be a [latex]C^{1,\alpha=1-n/p}[/latex] graph with estimate. In this presentation, we discuss the critical case [latex]p=n=2[/latex]. We get the bi-Lipschitz regularity and apply it to analysis the quantitative rigidity for [latex]L^2[/latex] almost CMC surfaces in [latex]R^3[/latex]. This is a joint work with Jie Zhou.

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