Diameter bound and Geometric estimates along mean curvature flow

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Wenshuai Jiang, Zhejiang University & IAS
Fine Hall 314

In this talk, we will study the mean curvature flow in R^3.  We show that the intrinsic diameter of the surface along mean curvature flow is uniformly bounded as one approaches the first singular time. In addition, we establish several sharp quantitative estimates of mean curvature flow and show that the singular set has finite Hausdorff measure. This is a joint work with Yiqi Huang(MIT).