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Mathematics > Differential Geometry

arXiv:1805.03289 (math)
[Submitted on 8 May 2018]

Title:Variational and non-Archimedean aspects of the Yau--Tian--Donaldson conjecture

Authors:Sébastien Boucksom
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Abstract:We survey some recent developments in the direction of the Yau-Tian-Donaldson conjecture, which relates the existence of constant scalar curvature Kähler metrics to the algebro-geometric notion of K-stability. The emphasis is put on the use of pluripotential theory and the interpretation of K-stability in terms of non-Archimedean geometry.
Comments: 22 pages. To appear in the ICM 2018 proceedings
Subjects: Differential Geometry (math.DG); Algebraic Geometry (math.AG); Complex Variables (math.CV)
MSC classes: 58E11
Cite as: arXiv:1805.03289 [math.DG]
  (or arXiv:1805.03289v1 [math.DG] for this version)
  https://doi.org/10.48550/arXiv.1805.03289

Submission history

From: Sebastien Boucksom [view email]
[v1] Tue, 8 May 2018 21:07:32 UTC (33 KB)
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