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!)

时间:2018-01-05


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

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

 

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

 

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