演講摘要 : Translating soliton of mean curvature flow (MCF) is a self-similar solution that moves by translation under MCF. I will first survey results regarding translating surface which is graphical and translates in the graphical axis direction (or vertically). I will also talk about recent progress in this area of study. Then I will talk about my joint work with Pyo and Ma on the rigidity results of graphical translator moving in non-vertical direction.