Recent progress on the Dirichlet problem for the minimal surface system and minimal cones
2019-07-26 11:00 — 12:00
Large Conference Room(706)
We shall mainly focus on two directions: (1) Further systematic developments after Lawson-Osserman’s 1977 Acta paper on the Dirichlet problem for minimal graphs of high codimensions. Aspects including non-existence, non-uniqueness and irregularity properties of solutions have been explored from different points of view. (2) Complexities and varieties of area-minimizing cones in high codimensions. We shall mention interesting history and exhibit some recent results which successfully furnished new families of minimizing cones of different types.