On the Yau-Tian-Donaldson conjecture for singular Fano varieties

[Math. Dept.]

April 10, 2018  16:00-17:00

E409  School of Mathematics

[seminar]20180410Chi Li.png


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