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.