Organized by Jacopo Stoppa (Sissa) and Claudio Arrezzo (ICTP)

15:00 - 16:00  Yalong Shi (Nanjing University)

Title: Compactness of cscK metrics near the canonical class

Abstract: We shall prove that the set of cscK metrics on minimal models constructed by Jian-Shi-Song is precompact with respect to the Gromov-Hausdorff topology. An important step is a uniform estimate for solutions of J-equations when the Kahler class approaches the boundary of the Kahler cone. This is joint work with B. Guo, W. Jian and J. Song.


16:30 - 17:30  Sun Jun (Wuhan University)

Title: Translating solitons to symplectic mean curvature flow

Abstract: In the talk, we will show that a symplectic translating soliton with mean curvature vector squared integral and some other natural assumptions must be a plane. This talk is based on joint work with Xiaoli Han and Jiayu Li.