威尼斯人

报告人：王宏玉 教授（扬州大学威尼斯人 ）

报告时间：2018年3月19日（周一）下午15：00-16：00

报告地点：苏州大学本部校区精正楼二楼学术报告厅

报告摘要：Inthis talk, we show that on a tamed closed almost complex 4-manifold (M, J)whose dimension of J-anti-invariant cohomology is equal to self-dual secondBetti number minus one, there exists a new symplectic form compatible with thegiven almost complex

structureJ. In particular, in the case where the self-dual second Betti number is equalto one, we give an affirmative answer to Donaldson question for tamed closedalmost complex 4-manifolds which is a conjecture in joint paper of Tosatti,Weinkove and Yau. Our approach is along the lines used by Buchdahl to give aunified proof of the Kodaira conjecture. Thus, our main result gives anaffirmative answer to the Kodaira conjecture in symplectic version. Joint workwith Qiang Tan, Jiuru Zhou and Peng Zhu.