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研究生教育创新计划高水平学术前沿讲座【王宏玉 】(注意时间有变动!)


课程名称:Donaldson Question: “Tamed to Compatible"

授课教师:王宏玉 (扬州大学)

授课地点:管理科研楼

授课时间:

 

18

15:00-17:00

19

10:00-12:00

110

10:00-12:00

 

1518教室

1318教室

1518教室

课程简介:In these talks, we show that on any tamed closed almost complex four-manifold (M,J) whose dimension of J-anti-invariant cohomology is equal to self-dual second Betti number minus one, there exists a new symplectic form compatible with the given almost complex structure J. In particular, if the self-dual second Betti number is one, we give an affirmative answer to Donaldson question for tamed closed almost complex four-manifolds that is a conjecture in joint paper of Tosatti, Weinkove and Yau.

 

Our approach is along the lines used by Buchdahl to give a unified proof of the Kodaira conjecture. Thus, our main result gives an affirmative answer to the Kodaira conjecture in symplectic version.

 

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