On the Yau-Tian-Donaldson conjecture for singular Fano varieties
April 10, 2018 16:00-17:00
E409 School of Mathematics
Chi Li (Purdue University)
I will talk about a recent work on the Yau-Tian-Donaldson conjecture for any Q-factorial Q-Fano variety that has a log smooth resolution of singularities such that the discrepancies of all exceptional divisors are non-positive. We will show that if such a Fano variety is K-polystable, then it admits a Kahler-Einstein metric. This extends the previous result for smooth Fano varieties to this class of singular Q-Fano varieties. This is a joint work with Gang Tian and Feng Wang.
School of Mathematics, Sichuan University