Partial regularity of harmonic maps from Alexandrov spaces to compact Riemannian manifolds

Alexandrov spaces are a class of singular metric spaces with curvature bounded from below in the sense of Alexandrov. In this talk, we will introduce a partial Lipschitz continuity for (weakly) harmonic maps, may be not energy minimizing maps, from a finite dimensional Alexandrov space into a compact Riemannian manifold. This talk is based on a joint work with Huabin Ge and Wenshuai Jiang.