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报告主题:   Stability of 2-varifolds with square integrable mean curvatures

报  告  人:   毕宇晨博士

报告时间:   2024年5月27日（星期一）下午15:00-16:00

报告地点:   37号楼 3A01

邀  请  人:   陈波副教授

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数学8297至尊品牌游戏官方网站

2024年 5月21日

报告摘要： Allard's regularity theorem proves that a n-dimensional integral varifold whose mass ratio is close to 1 in a given ball and has generalized mean curvature in L^p with p>n is in fact a C^{1,\alpha} graph at a slightly small scale. We obtain an extension of Allard (when p=n=2) showing that (when the mass ratio is sufficiently small), the varifold is (at a slightly smaller scale) bi-Lipschitz homeomorphic to a disk.Moreover, for an compact integral 2-varifold with Willmore energy sufficiently close to 16\pi, we show it is close to the standard embedding of the round sphere in a quantitative way.

报告人介绍：毕宇晨，中科院数学所博士，北京国际数学研究中心博士后。主要从事几何测度论和变分法中爆破分析现象的研究。已在Adv. Math., Calc. Var. Partial Differential Equations.等知名期刊发表多篇学术论文。