The structure of mean curvature flow translators with finite total curvature

Abstract: In the mean curvature flow, translating solutions are an important model for singularity formation. In this talk, we will consider the class of 2-dimensional mean curvature flow translators embedded in $\mathbb{R}^3$ which have finite total curvature and describe their asymptotic structure, which turns out to be highly rigid. I will outline the proof of this asymptotic description, in particular focusing on some novel and unexpected features of the proof.

differential geometry

Audience: researchers in the topic

B.O.W.L Geometry Seminar