Some new generic regularity results for minimal surfaces and mean curvature flows

Abstract: Minimal surfaces are critical points of the area functional while mean curvature flow is the gradient flow of the area functional. Singularities arise in both problems, and a fundamental issue in geometric analysis is to understand such singularities. I will present some recent work concerning the generic behavior of both problems, in particular I will discuss the papers (with K. Choi, C. Mantoulidis, F. Schulze) arXiv:2003.14344, arXiv:2102.11978 as well as (with Y. Liokumovich, L. Spolaor) arXiv:2007.11560.

differential geometry

Audience: researchers in the topic

( video )

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The 2nd Geometric Analysis Festival

Series comments: Please, submit your questions to speakers at forms.gle/F8z5LjfNNwt3DD4i8

The recorded lecture videos are available at www.youtube.com/channel/UC2gHzqcv7CT1G3fa4a7sx-Q/playlists

Video Abstracts: youtu.be/uMBqmW4r8GE

For more details, please visit the webpage (will be updated later) at cosmogeometer.wordpress.com/geometric-analysis

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