Title：Kodaira dimensions of almost complex manifolds  

Speaker：Haojie Chen （浙江师范大学）

Time：2018年11月2日（周五）    下午 16:00-17:30

Room：东区管理科研楼   数学科学学院1418室

Abstract：The Kodaira dimension is a fundamental invariant in complex geometry and algebraic geometry. It gives a rough classification scheme of complex manifolds up to birational equivalence. We will talk about our recent generalization of plurigenera and Kodaira dimensions to almost complex manifolds. We will then discuss some structural results including the birational invariance on almost complex 4-manifolds. As an application, we show that the Kodaira dimenson of the standard almost complex structure on the six sphere is 0 and all the plurigenera are 1,  which are different from those of a hypothetical complex structure. This talk is based on joint work with Weiyi Zhang.