数学研究所
数学科学全国重点实验室

学术报告

代数几何研讨班

Speaker: 谢芷欣（Université de Lorraine） 

Inviter: 刘杰 副研究员

Language:        Chinese

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

Time&Venue: 2025年6月24日（星期二）16:00-17:00

&南楼N913

Abstract: 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.