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](http://tianyuan.scu.edu.cn/upload/default/20180726/%5Bseminar%5D20180410Chi%20Li-01.png "[seminar]20180410Chi Li.png")
SPEAKER
Chi Li (Purdue University)
ABSTRACT
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.
SUPPORTED BY
School of Mathematics, Sichuan University