# Degeneration of Fano Kahler-Einstein manifolds

 Topology of Algebraic Varieties Topic: Degeneration of Fano Kahler-Einstein manifolds Speaker: Xiaowei Wang Affiliation: Rutgers University, Newark Date: Tuesday, December 2 Time/Room: 11:00am - 12:30pm/Physics Library, Bloomberg Hall 201

In this talk, we will discuss the local geometry of the closure of orbit space that parametrising smooth Fano manifolds inside certain Chow/Hilbert scheme. In particular, we will discuss the separatedness of the moduli of smoothable $K$-polystable $\mathbb Q$-Fano varieties and the Zariski openness of $K$-semistable Fano manifolds inside the orbit space. This is a joint work with Chi Li and Chenyang Xu.