Differential Geometry Seminar - Junsheng Zhang

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April 4, 2025
4:10 pm - 5:10 pm
Math Tower (MW) 154

Date Range
2025-04-04 16:10:00 2025-04-04 17:10:00 Differential Geometry Seminar - Junsheng Zhang Junsheng ZhangNew York University Courant InstituteTitleKähler-Ricci Shrinkers and Polarized Fano FibrationsAbstractWe 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.  Math Tower (MW) 154 America/New_York public

Junsheng Zhang
New York University Courant Institute

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.
 

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