Time:10:00-11:00, Thursday, June 16th, 2022
ZOOM ID:850 1011 3839
PASSCODE:406577
Host:Dr. Guodu Chen
Speaker:Dr. Junpeng Jiao, The University of Utah
Title:Boundedness of polarised Calabi-Yau fibrations
Biography:
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.
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.
