Classification of non-collapsed translators in \(\mathbb{R}^4\)
Or Hershkovits Hebrew University of Jerusalem
Translating solution to the mean curvature flow form, together with self-shrinking solutions, the most important class of singularity models of the flow. When a translator arises as a blow-up of a mean convex mean curvature flow, it also naturally satisfies a non-collapsness condition. In this talk, I will report on a recent work with Kyeongsu Choi and Robert Haslhofer, in which we show that every mean convex, non-collapsed, translator in \(\mathbb{R}^4\) is a member of a one parameter family of translators, which was earlier constructed by Hoffman, Ilmanen, Martín and White.