Room 505, Cosmology Building, National Taiwan University +Zoom, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館505研討室+Zoom)
On the Relative Morrison-Kawamata Cone Conjecture for Calabi-Yau Fiber Spaces
Zhan Li (Southern University of Science and Technology)
Abstract
A fibration with a relatively trivial canonical divisor is called a Calabi-Yau fiber space. The Morrison-Kawamata cone conjecture relates the birational geometry of a Calabi-Yau fiber space to the convex geometry of a movable cone. Assuming the minimal model program conjectures, we show that the cone conjecture of the generic fiber implies the cone conjecture of the Calabi-Yau fiber space. As an application, the finiteness of minimal models of a Calabi-Yau fiber space in relative dimensions less or equal to 2 is established. This work is partially joint with Hang Zhao.
Link Information
Zoom ID: 892 4386 3425
Passcode: AG2875
Organizer: Hsueh-Yung Lin ( NTU)
