Speaker：Minzhe Zhu (Korean Institute for Advanced Study)

Time：2025-12-23 10:30

Location：Conference Room S204 at Experiment Building at Haiyun Campus

Abstract:

A Calabi-Yau fibration is a fibration of projective varieties $X\to Z$ such that the canonical bundle $K_X$ is numerically trivial over $Z$. The central question is: under what conditions does the total space of such a fibration belong to a bounded family? Motivated by this, we investigate fibrations whose bases and general fibers are themselves bounded. We show that, after fixing natural invariants, the total spaces are bounded in codimension one. Furthermore, when the general fibers have vanishing irregularity, the total spaces are in fact bounded. These results have further applications to the study of stable minimal models and fibered Calabi–Yau varieties. This is based on the joint work with Xiaowei Jiang and Junpeng Jiao.