Complex Geometry Seminar
Student No.:20
Time:Fri 15:20-16:20, Oct.12-Dec.14
Instructor:Akito Futaki  [Tsinghua University]
Place:Conference Room 1, Jin Chun Yuan West Bldg.
Starting Date:2018-10-12
Ending Date:2018-12-14


Speaker: Chien Lin (Tsinghua University)

Title: On the CR Analogue of Three Circle Theorem

In this talk, we will give the proof of the CR analogue of three circle theorem in a complete Sasakian manifold (that is of vanishing pseudohermitian torsion), which is an odd dimensional counterpart of Kähler geometry. As its applications, we are able to obtain the CR Laplacian comparison theorem and the sharp dimension estimate immediately.


Speaker: Xiaokui Yang (Chinese Academy of Sciences)

Title: RC-positivity and scalar-flat metrics on ruled surfaces

In this presentation we shall discuss the existence of scalar-flat Hermitian metrics on compact complex manifolds. This is a joint work with Jun Wang.


The time and place are different from ordinary Complex Geometry Seminar.

Time: October 17th (Wednesday), 17:05-18:05

Place: Lecture Hall, Jin Chun Yuan West Bldg.

Speaker: Kaoru Ono (Kyoto University)

Title: Some criteria for (super) heavy subsets in symplectic manifolds

(Super) heavy subsets are, in some sense, Floer theoretically non-trival subsets.
The notion is due to Entov and Polterovich, who showed interesting results.
After explaining basics of their theory, I would like to discuss some criteria for (super) heavy subsets.


Speaker: Feng Wang (Zhejiang University)

Title: The existence of Kahler-Einstein metrics on K-polystable Q-Fano varieties with non-positive discrepancies

I will talk out the recent work with Gang Tian and Chi Li. At first, we extend Tian’s solution of Yau-Tian-Donaldson conjecture to the log smooth case. Then for a K-polystable Q-Fano varieties X with non-positive discrepancies, we show that there exists conic KE metrics on the resolution and these metrics converges to the singular KE metric on X.