浙江师范大学聂小兰、陈豪杰博士学术报告

2019-07-09 来源:数学科学研究中心

活动地点:CMS 201

活动类型:学术报告

主讲人:聂小兰、陈豪杰博士

活动时间:2019-07-10 09:10:00--2019-07-10 10:50:00

活动内容:

浙江师范大学聂小兰、陈豪杰博士学术报告

 


报告人:聂小兰 博士(浙江师范大学)

时间:2019年7月10日(周三)上午9:10-10:00

地点:数学中心201教室 

题目:Hermitian metrics with constant holomorphic sectional curvature

摘要:Complete Kahler manifolds with constant holomorphic sectional curvature are called complex space forms. Simply connected complex space forms are classified in 1950s. We will discuss our recent results on Hermitian manifolds with constant or pointwise constant holomorphic sectional curvature (with respect to the Chern connection). This talk is based on joint work with Haojie Chen and Lingling Chen.

 

报告人:陈豪杰 博士(浙江师范大学)

时间:2019年7月10日(周三)上午10:00-10:50

地点:数学中心201教室 

题目:Kodaira dimensions of almost complex manifolds

摘要: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 dimension to almost complex manifolds.  As an application, we show that the plurigenera of the standard almost complex structure on the six sphere are all one and the Kodaira dimension is 0, which are different from those of a hypothetical complex structure. This talk is based on joint work with Weiyi Zhang.