27–31 Oct 2025
Palazzo del Castelletto
Europe/Rome timezone

Boundedness of Polarized Log Calabi–Yau Fibrations with Bounded Bases

31 Oct 2025, 09:30
1h
Aula Dini (Palazzo del Castelletto)

Aula Dini

Palazzo del Castelletto

Via del Castelletto, 17/1, 56126 Pisa PI

Speaker

Xiaowei Jiang (Tsinghua University)

Description

In this talk, we discuss the boundedness problem for log Calabi–Yau fibrations whose bases and general fibers are bounded. We show that, after fixing certain natural invariants, the total spaces of such fibrations are bounded in codimension one. Furthermore, we prove that the total spaces themselves are bounded when the general fibers have vanishing irregularity. As an application, we obtain boundedness results for stable minimal models and fibered Calabi–Yau varieties. This is based on joint work with Junpeng Jiao and Minzhe Zhu.

Primary author

Xiaowei Jiang (Tsinghua University)

Presentation materials

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