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Uniform estimates for weighted cscK metrics

Geometry and analysis of special structures on manifolds November 18, 2024 - November 22, 2024

November 22, 2024 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Eleonora Di Nezza (Institut de Mathématiques de Jussieu; École Normale Supérieure)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Abstract

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A central theme in Kähler geometry is the search for canonical Kähler metrics. The concept of constant weighted scalar curvature Kähler metrics (weighted cscK for short), introduced by Lahdili, provides a unification of various geometric settings (such as cscK metrics, Kähler-Ricci solitons or Calabi extremal metrics). In this talk I will present uniform estimates for weighted cscK potentials. This is a joint work with S. Jubert and A. Lahdili.

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