题目： On the relative cone conjecture for families of hyperkähler manifolds

报告人：谢芷欣，洛林大学

时间：2025年6月27日（周五）上午10：15

地点：东区第五教学楼5206教室

摘要：The Kawamata-Morrison cone conjecture predicts the geometry of the nef cone and the movable cone of a variety with trivial canonical class. In this talk, we will discuss families of varieties with trivial canonical class and vanishing irregularity. We will study the relative nef cone and the relative movable cone of such families, using machinery from the Minimal Model Program. As application, we will show the relative cone conjecture for families whose very general fibre is a projective hyperkähler manifold of one of the known deformation types. This is joint work with Andreas Höring and Gianluca Pacienza.