Sala Seminari (Dip. Matematica).
In this seminar we will discuss weak formulations for crystalline mean curvature flows, providing existence and uniqueness of the geometric evolution up to fattening. In particular, we show that the Almgren-Taylor-Wang scheme starting from any given initial set converges, up to fattening, to a unique flat flow. These results are in collaboration with A. Chambolle, M. Morini and M. Novaga.