Compact moduli space of Fano Kahler-Einstein varieties 

Abstract: In this talk, we will discuss our construction of proper schemes as moduli spaces parametrizing smoothable K-stable Fano varieties. The solution relies on the recent solution of the Yau-Tian-Donaldson conjecture by Chen-Donaldson-Sun and Tian. (This is a joint work with Chi Li and Chenyang Xu)