BIMSA > Complex Geometry Seminar On finiteness of fiber structures on Calabi-Yau pairs in dimension 3
On finiteness of fiber structures on Calabi-Yau pairs in dimension 3
Organizers
Genglong Lin , Enric Sole Farre , Yingying Zhang
Speaker
Fulin Xu
Time
Tuesday, January 13, 2026 8:00 PM - 9:30 PM
Venue
Online
Online
Zoom 928 682 9093 (BIMSA)
Abstract
Finiteness properties of Calabi-Yau varieties is an interesting and mysterious topic in algebraic geometry. The Morrison-Kawamata cone conjecture predicts that there are finitely many contractions from a Calabi-Yau pair up to automorphism. As a special case of this conjecture, we prove that there are only finitely many fiber structures on any fixed Calabi-Yau pair in dimension 3. The main idea is to combine boundedness and discreteness to reduce finiteness. This talk is based on ArXiv:2501.10239.