Event Details


Author: Francisco Martín

Abstract: A translator in \(\mathbb{R}^3\) is a smooth surface $M$ such that \(M_t = M − t e_3\) is a mean curvature flow, or, equivalently, such that the mean curvature vector at each point of M is given by the normal component of \(− e_3.\) On the other hand, we say that a surface is semigraphical if it is properly embedded, and, after removing a discrete collection of vertical lines, it is a graph. We shall provide a nearly complete classification of semigraphical translators in Euclidean \(3$-space\). This is a joint work with David Hoffman and Brian White.