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Variational and non-Archimedean aspects of the Yau-Tian-Donaldson conjecture
Post-edited
Authors : Boucksom, Sébastien (Author of the conference)
CIRM (Publisher )
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
CIRM (Publisher )
Abstract :
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
MSC Codes : 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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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 31/01/2018 Conference Date : 19/01/2018 Subseries : Research talks arXiv category : Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 01:07:51 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2018-01-19_Boucksom.mp4 
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Information on the Event
Event Title : Constant scalar curvature metrics in Kähler and Sasaki geometry / Métriques à courbure scalaire constante en géométrie Kählérienne et SasakienneEvent Organizers : Auvray, Hugues ; Huang, Hongnian ; Keller, Julien ; Legendre, Eveline ; Sena-Dias, Rosa Dates : 15/01/2018 - 19/01/2018 Event Year : 2018 Event URL : https://conferences.cirm-math.fr/1750.html
Citation Data
DOI : 10.24350/CIRM.V.19265303Cite this video as: Boucksom, Sébastien (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 |
See Also
- [Multi angle] Extremal Poincaré type metrics and stability of pairs on Hirzebruch surfaces / Author of the conference Sektnan, Lars Martin.
- [Multi angle] Kähler-Ricci solitons on crepant resolutions of finite quotients of $C^n$ / Author of the conference Macbeth, Heather.
- [Multi angle] Complex Monge-Ampere equations with prescribed singularities / Author of the conference Di Nezza, Eleonora.
Bibliography
- 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.
