代数几何研讨班丨Boundedness of polarised Calabi-Yau fibrations

2022-06-15 14:31:27

时间:2022年6月16日(星期四)10:00-11:00

ZOOM会议号:850 1011 3839

密码:406577


主持人:陈国度博士

主讲人:犹他大学 焦骏鹏博士

报告题目:Boundedness of polarised Calabi-Yau fibrations


主讲人简介:

Junpeng Jiao is a Ph.D candidate in the Department of Mathematics, the University of Utah, under the supervision of Prof. Christopher Hacon. He obtained his M.S. in mathematics from Peking University under the supervision of Prof. Chenyang Xu. His main area of interest lies in algebraic geometry, especially in birational geometry.


报告摘要:

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.