Abstract

Ancient flows have been intensively studied over the past decade as singularity models for the mean curvature flow. In the spirit of the parabolic Liouville-type theorem for the non-compact case, flows with prescribed asymptotic behavior play an important role. In this context, we present a family of ancient mean curvature flows that converge to a given two-sided complete embedded minimal hypersurface in Euclidean space. We establish that these flows possess geometric properties such as finite total curvature, finite mass drop, and mean convexity for one family of these flows. This work is joint with Kyeongsu Choi (KIAS) and Jiuzhou Huang (KIAS).

 

Link Information: https://us02web.zoom.us/j/81117867560?pwd=NKyQFmxEbLtKPbDb8eWgLhxficUz2K.1

Meeting ID: 811 1786 7560

Passcode: 771992

 

Organizers: Nicolau Sarquis Aiex (NTNU), Chung-Jun Tsai (NTU), Siao-Hao Guo (NTU)