Variational and non-Archimedean aspects of the Yau-Tian-Donaldson conjecture
Apparaît dans la collection : Constant scalar curvature metrics in Kähler and Sasaki geometry / Métriques à courbure scalaire constante en géométrie Kählérienne et Sasakienne
I will discuss 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 will be put on the use of pluripotential theory and the interpretation of $K$-stability in terms of non-Archimedean geometry.
