English
Variational and non-Archimedean aspects of the Yau-Tian-Donaldson conjecture
Post-edited
Auteurs : ... (Auteur de la Conférence)
... (Editeur )
32P05 - Non-Archimedean complex analysis
32Q20 - Kähler-Einstein manifolds
32Q25 - Calabi-Yau theory
53C55 - Hermitian and Kählerian manifolds (global differential geometry)
32Q26 - Notions of stability
... (Editeur )
Résumé :
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.
Keywords : Yau-Tian-Donaldson conjecture; constant scalar curvature; Kähler metrics; $K$-stability; non-Archimedean geometry
Codes MSC : Keywords : Yau-Tian-Donaldson conjecture; constant scalar curvature; Kähler metrics; $K$-stability; non-Archimedean geometry
32P05 - Non-Archimedean complex analysis
32Q20 - Kähler-Einstein manifolds
32Q25 - Calabi-Yau theory
53C55 - Hermitian and Kählerian manifolds (global differential geometry)
32Q26 - Notions of stability
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Informations sur la Vidéo
Langue : AnglaisDate de publication : 31/01/2018 Date de captation : 19/01/2018 Sous collection : Research talks arXiv category : Algebraic Geometry Domaine : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Durée : 01:07:51 Audience : Researchers Download : https://videos.cirm-math.fr/2018-01-19_Boucksom.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Constant scalar curvature metrics in Kähler and Sasaki geometry / Métriques à courbure scalaire constante en géométrie Kählérienne et SasakienneDates : 15/01/2018 - 19/01/2018 Année de la rencontre : 2018 URL Congrès : https://conferences.cirm-math.fr/1750.html
Données de citation
DOI : 10.24350/CIRM.V.19265303Citer cette vidéo: (2018). Variational and non-Archimedean aspects of the Yau-Tian-Donaldson conjecture. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19265303 URI : http://dx.doi.org/10.24350/CIRM.V.19265303 |
Voir aussi
- [Multi angle] Extremal Poincaré type metrics and stability of pairs on Hirzebruch surfaces / Auteur de la Conférence ....
- [Multi angle] Kähler-Ricci solitons on crepant resolutions of finite quotients of $C^n$ / Auteur de la Conférence ....
- [Multi angle] Complex Monge-Ampere equations with prescribed singularities / Auteur de la Conférence ....
Bibliographie
- Berman, R., Boucksom, S., & Jonsson, M. (2015). A variational approach to the Yau-Tian-Donaldson conjecture.
- Boucksom, S., & Jonsson, M. (2016). Tropical and non-Archimedean limits of degenerating families of volume forms.
