中科院数学与系统科学研究院

数学研究所

学术报告会

报告人： 王宏玉 教授(扬州大学)

题  目：On Tamed Almost Complex Four-Manifolds

时  间：2017.06.26（星期一），10:00-11:00

地  点：数学院南楼N913室

摘  要：In this talk,we prove that on any tamed closed almost complex four-manifold with self-dual second Betti number one, there exists a new symplectic form compatible with the given almost complex structure. Thus, we give an affirmative answer to Donaldson question for tamed closed almost complex four-manifolds with self-dual second Betti number one. Our approach is along the lines used by Buchdahl to give a unified proof of the Kodaira conjecture.