Français
Kähler-Ricci solitons on crepant resolutions of finite quotients of $C^n$
Multi angle
Authors : Macbeth, Heather (Author of the conference)
CIRM (Publisher )
53C25 - Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C44 - Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
53C55 - Hermitian and Kählerian manifolds (global differential geometry)
CIRM (Publisher )
Loading the player...
|
Abstract :
By a gluing construction, we produce steady Kähler-Ricci solitons on equivariant crepant resolutions of $\mathbb{C}^n/G$, where $G$ is a finite subgroup of $SU(n)$, generalizing Cao's construction of such a soliton on a resolution of $\mathbb{C}^n/\mathbb{Z}_n$.
This is joint work with Olivier Biquard.
MSC Codes : This is joint work with Olivier Biquard.
53C25 - Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C44 - Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
53C55 - Hermitian and Kählerian manifolds (global differential geometry)
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 31/01/2018 Conference Date : 18/01/2018 Subseries : Research talks arXiv category : Differential Geometry Mathematical Area(s) : Algebraic & Complex Geometry ; PDE Format : MP4 (.mp4) - HD Video Time : 00:50:31 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2018-01-18_Macbeth.mp4 
|
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.19264103Cite this video as: Macbeth, Heather (2018). Kähler-Ricci solitons on crepant resolutions of finite quotients of $C^n$. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19264103 URI : http://dx.doi.org/10.24350/CIRM.V.19264103 |
See Also
- [Post-edited] Variational and non-Archimedean aspects of the Yau-Tian-Donaldson conjecture / Author of the conference Boucksom, Sébastien.
- [Multi angle] Extremal Poincaré type metrics and stability of pairs on Hirzebruch surfaces / Author of the conference Sektnan, Lars Martin.
- [Multi angle] Complex Monge-Ampere equations with prescribed singularities / Author of the conference Di Nezza, Eleonora.
Bibliography
- Biquard, O., & Macbeth, H. (2017). Steady Kähler-Ricci solitons on crepant resolutions of finite quotients of $\mathbb{C}^n$.
