Time: 9:00-12:00, Monday, September 1, 2025
ZOOM ID: 984 0590 6045
PASSCODE: 028751
Host:Jiyuan Han, ITS
Speaker:Junsheng Zhang, New York University
Title:Kähler-Ricci Shrinkers and Polarized Fano Fibrations
Abstract: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.