Boundedness of polarized log Calabi-Yau fibrations with bounded bases

Time：Fri., 9:00-11:45 am, May 30, 2025

Venue：C548, Shuangqing Complex Building A

Organizer：Caucher Birkar

Speaker：9:00-9:45 江孝炜（YMSC） 10:00-10:45 朱民哲（Fudan University） 11:00-11:45 焦骏鹏（YMSC）

This workshop focuses on recent progress in the boundedness of log Calabi–Yau fibrations. 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.

Organizer

Caucher Birkar

Time

Fri., 9:00-11:45 am, May 30, 2025

Speakers

9:00-9:45

江孝炜（YMSC）

10:00-10:45

朱民哲（Fudan University）

11:00-11:45

焦骏鹏（YMSC）

Venue

C548, Shuangqing Complex Building A

Online

Zoom Meeting ID: 262 865 5007

Password: YMSC

Note：Lunch will be provided.

DATEMay 27, 2025

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