Next Talk
Speaker: Prof. Taehun Lee (Konkuk University)
Title: Ancient mean curvature flows with finite total curvature
Date: Tuesday, December 16, 2025
Time: 16:30-17:30 (KST)
Zoom Link: https://us02web.zoom.us/my/repp.seminar (Meeting ID: 319 319 3319, PW: 112358)
Abstract: Ancient flows, as singularity models of the mean curvature flow, have been intensively studied over the past decade. Particularly, in the spirit of the parabolic Liouville-type theorem for the non-compact case, flows with prescribed asymptotic behavior have been considered. In this context, we present $I$ family of ancient mean curvature flows that converge to a given two-sided complete embedded minimal hypersurface in $\mathbb{R}^{n+1}$ as $|x|^2-t \rightarrow \infty$, where $I$ is the Morse index of the given hypersurface. We establish that these flows possess finite total curvature and finite mass drop. Additionally, one family within these flows is mean convex.
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