Boundedness of polarized log Calabi-Yau fibrations with bounded bases

：朱民哲（韩国高等科学研究院）
：2025-12-23 10:30
：海韵园实验楼S204

报告人：朱民哲（韩国高等科学研究院）

时  间：2025年12月23日10:30

地  点：海韵园实验楼S204

内容摘要:

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.

个人简介：

朱民哲，复旦大学数学学院博士，导师是陈猛教授，现为韩国高等科学研究院的研究员。朱民哲的研究领域是极化Calabi-Yau纤维化和稳定极小模型的有界性理论。其研究工作发表在IMRN等期刊上。

联系人：周楚宇