3 oct 2019 -- 14:30
Aula 1, DiMaI, Firenze
Translating solutions to the mean curvature flow are special hypersurfaces that evolve under mean curvature flow preserving their shape and translating along a fixed direction. They have a crucial role in understanding the singularities of the flow and provide interesting explicit examples of solutions. In this talk we discuss the classification of translating surfaces in the Heisenberg and Solvable groups that are invariant under the action of a one-parameter group of isometries of the ambient space. In particular we highlight similarities and differences with the analogous examples in the Euclidean space.