Junping Jiao:Boundedness of polarised Calabi-Yau fibrations

Abstract: In this talk, we investigate the boundedness of good minimal models with intermediate Kodaira dimensions. We prove that good minimal models are bounded modulo crepant birational when the base (canonical models) are bounded and the general fibers of the Iitaka fibration are in a bounded family of polarized Calabi-Yau pairs. As a corollary, we prove that smooth Calabi-Yau varieties with a polarised fibration structure are bounded modulo flop.