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Kähler-Ricci Shrinkers and Polarized Fano Fibrations

2025-08-27 09:56:23
报告人 时间 9:00-12:00
地点 ZOOM 2025
月日 09-01

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.