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2020年12月05日复几何专题系列线上报告
上传时间:2020-12-02 作者: 浏览次数:10

复几何专题系列报告

 

报告时间:20201205(周六),下午140000--1730

报告地点:腾讯会议  https://meeting.tencent.com/s/IxmICdsFqNI4

会议 ID936 171 376

会议密码:123456

报告题目1Schwarz type lemmas for pseudo-Hermitain manifolds

报告人:东瑜昕 教授 (复旦大学)

报告时间:1400-1500

报告摘要:In this talk, we discuss some generalized holomorphic maps either betweentwo pseudo-Hermitian manifolds or between a pseudo-Hermitian manifold and a Hermitianmanifold. These maps include CR mapsand transversally holomorphic maps. In termsof some sub-Laplacian or Hessian type Bochner formulas, and comparison theorems inthe pseudo-Hermitian version, we establish several Schwarz type results for both the CRmaps and the transversally holomorphic maps between these manifolds. Some Liouvilletheorems and little Picard theorems are given. Finally, according to these Schwarz lemmas,we investigate some pseudo-distances of pseudo-Hermitian manifolds.

报告题目2Poisson metrics on projectively flat bundles over Hermitian manifolds

报告人:张希 教授 (中国科学技术大学)

报告时间:1510-1610

报告摘要:Our motivation for studying Poisson metric is to get a generalized non-abelian Hodge theory. In this talk, we introduce our recent works on the existence of Poisson metric on projectively flat bundle over non-K\ahler manifold and its application. These works are joint with Changpeng Pan and Chuanjing Zhang.

报告题目3On the curvature of complex Finsler geometry

报告人:万学远 博士 (Korea Institute for Advanced Study,韩国高等研究院)

报告时间:1620-1720

报告摘要:In this talk, we will consider the Kobayashi curvature and holomorphic sectional curvature in complex Finsler geometry. By using the curvature formula of direct image bundle, we will show the equivalence of Finsler-Einstein and Hermitian-Einstein metrics, the existence of Poisson-Kahler structure on projective bundle,  negativity of  Kodaira dimension, and  the duality of Finsler metrics is also discussed. 

 

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