报告题目：On the relative Morrison-Kawamata cone conjecture

报告时间：2026年2月2日，上午10:00-11:00

报告地点：中心校区知新楼B座924

邀请人：BB贝博艾弗森官网凌松波 副研究员

报告摘要

In this talk, I will introduce the Morrison-Kawamata cone conjecture. This conjecture asserts that for a Calabi-Yau variety, the action of the automorphism group on the nef effective cone admits a rational polyhedral fundamental domain. This problem is of central importance in birational geometry, offering insights into the behavior of automorphism groups and the structure of divisor cones. While the conjecture has been verified in many cases, it remains an active area of research. I will discuss recent results on the relative Morrison-Kawamata cone conjecture; in particular, we relate this conjecture to the existence of Shokurov polytopes. This is joint work with Zhan Li..

报告人简介：赵航，北京大学博士毕业，现任云南大学数学与统计学院讲师。主要从事代数几何研究，聚焦于代数曲面及高维簇的分类、极小模型理论等课题。论文发表在Proc. London Math. Soc.、Math. Res. Lett.、Geom. Dedicata等著名国际数学期刊。