报告题目：On the relative Morrison-Kawamata cone conjecture (joint work with Zhan Li)

报告人：赵航，南方科技大学博士后

时间：2022年9月5日（周一）上午10：00—11：00

地点：东区管理科研楼1418

Abstract: The cone conjecture for Calabi-Yau manifolds was introduced by Morrison which was motivated by considerations of mirror symmetry. The statement was generalized by Kawamata to families of Calabi-Yau varieties. The conjecture predicts, roughly speaking, for Calabi-Yau varieties the automorphism group acts on the nef cone with rational fundamental domain. In this talk, we will relate the relative Morrison-Kawamata cone conjecture for Calabi-Yau fiber spaces to the existence of Shokurov’s polytopes. As an application, we show that for K3 fiberations, the corresponding cone conjecture holds.