17:20–18:20 (Online)

Francisco Martin (University of Granada)

Translating solitons of the mean curvature flow

A translating soliton, or translator for short, is a surface \(M\) of \(\mathbb{R}^3\) such that \[\begin{equation} M_t := M + t v \end{equation}\] is a mean curvature flow, where \(v\) is a constant unitary vector. In this talk I will show some existence and uniqueness results for complete translators.