Français
Pluripotential Kähler-Ricci flows
Multi angle
Authors : Guedj, Vincent (Author of the conference)
CIRM (Publisher )
32W20 - Complex Monge-Ampère operators
53C44 - Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
58J35 - Heat and other parabolic equation methods
CIRM (Publisher )
Loading the player...
|
Abstract :
We develop a parabolic pluripotential theory on compact Kähler manifolds, defining and studying weak solutions to degenerate parabolic complex Monge-Ampere equations. We provide a parabolic analogue of the celebrated Bedford-Taylor theory and apply it to the study of the Kähler-Ricci flow on varieties with log terminal singularities.
Keywords : parabolic Monge-Ampère equation; pluripotential solution; Perron envelope; Kähler-Ricci flow
MSC Codes : Keywords : parabolic Monge-Ampère equation; pluripotential solution; Perron envelope; Kähler-Ricci flow
32W20 - Complex Monge-Ampère operators
53C44 - Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
58J35 - Heat and other parabolic equation methods
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 14/02/2019 Conference Date : 07/02/2019 Subseries : Research talks arXiv category : Complex Variables ; Analysis of PDEs ; Differential Geometry Mathematical Area(s) : Analysis and its Applications ; PDE ; Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 00:50:33 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-02-07_Guedj.mp4 
|
Information on the Event
Event Title : Singular metrics in complex Kähler geometry / Métriques singulières en géométrie complexe KählérienneEvent Organizers : Demailly, Jean-Pierre ; Di Nezza, Eleonora ; Guenancia, Henri ; Keller, Julien Dates : 04/02/2019 - 08/02/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/2100.html
Citation Data
DOI : 10.24350/CIRM.V.19491403Cite this video as: Guedj, Vincent (2019). Pluripotential Kähler-Ricci flows. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19491403 URI : http://dx.doi.org/10.24350/CIRM.V.19491403 |
See Also
- [Multi angle] Apriori estimates for scalar curvature type equations on compact Kähler manifolds / Author of the conference Cheng, Jingrui.
- [Multi angle] Moduli of algebraic varieties / Author of the conference Dervan, Ruadhai.
- [Multi angle] Kodaira dimension of algebraic fiber spaces over abelian varieties or projective surfaces / Author of the conference Cao, Junyan.
- [Post-edited] Algebraicity of the metric tangent cones / Author of the conference Wang, Xiaowei.
Bibliography
- Guedj, V., Lu, H.C., & Zeriahi, A. (2017). Pluripotential kahler-ricci flows.
