Variational and non-Archimedean aspects of the Yau-Tian-Donaldson conjecture | Vidéo | Carmin.tv

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

By Sébastien Boucksom

Appears in 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.

Information about the video

Date of recording 19/01/2018
Date of publication 31/01/2018
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19265303
Cite this video Boucksom, Sébastien (19/01/2018). Variational and non-Archimedean aspects of the Yau-Tian-Donaldson conjecture. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19265303
URL https://dx.doi.org/10.24350/CIRM.V.19265303

Domain(s)

Algebraic Geometry

Bibliography

Berman, R., Boucksom, S., & Jonsson, M. (2015). A variational approach to the Yau-Tian-Donaldson conjecture. <arXiv:1509.04561> - https://arxiv.org/abs/1509.04561
Boucksom, S., & Jonsson, M. (2016). Tropical and non-Archimedean limits of degenerating families of volume forms. <arXiv:1605.05277> - https://arxiv.org/abs/1605.05277

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