报告题目：Holomorphic 1-Forms and Geometry of Algebraic Varieties

报告时间：2021-11-21  19:00-21:00

报告人：郝峰  (Katholieke Universiteit Leuven)

腾讯会议ID：793 229 103

访问此链接进入会议，或添加至会议列表：https://meeting.tencent.com/dm/TIhzxlV3HODn

Abstract: In principle, holomorphic 1-forms of irregular smooth projective variety X encode much information of the topology and birational geometry of X.

　In this talk, I will first give a survey on some works and problems about how the zeros of holomorphic 1-forms affect the birational property and topology of smooth projective varieties, and try to briefly recall some concepts on birational geometry and cohomology jump loci theory that are used in the later discussion.

　Then I will discuss a recent work (joint with Yajnaseni Dutta and Yongqiang Liu) on how the existence of nowhere vanishing holomorphic 1-forms on a smooth complex projective variety X affect the singularities of morphisms from X to (simple) abelian varieties.　

　For the last part, I will try to discuss an in-progress work on the classification of smooth projective varieties of Kodaira codimension one which admit nowhere vanishing holomorphic 1-forms.