Kähler-Ricci Shrinkers and Polarized Fano Fibrations

2025-08-27 09:56:23

时间:2025年9月1日(星期一),9:00-12:00

ZOOM ID: 984 0590 6045

PASSCODE: 028751


主持人:Jiyuan Han, ITS

主讲人:Junsheng Zhang, New York University

报告主题:Kähler-Ricci Shrinkers and Polarized Fano Fibrations

报告摘要:We prove that every (non-compact) Kähler-Ricci shrinker is naturally a polarized Fano fibration. The proof relies on Kähler reductions and Birkar’s boundedness result in birational geometry. Moreover, we propose several conjectures for Kähler-Ricci shrinkers, unifying the well-developed theories of Kähler-Einstein metrics and Calabi-Yau cones. This is joint work with Song Sun.