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Analytic delta invariant and weighted Kähler geometry Lecture 1
Multi angle
Authors : Delcroix, Thibaut (Author of the conference)
CIRM (Publisher )
32Q20 - Kähler-Einstein manifolds
53C25 - Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C55 - Hermitian and Kählerian manifolds (global differential geometry)
CIRM (Publisher )
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Abstract :
The algebraic delta invariant, a number encoding the K-stability of a Fano variety, is a central theme of this Winter school. In the first lecture, T. Delcroix presents an analytic viewpoint on the delta invariant developped by Kewei Zhang, along with the rough ideas of the variational approach to existence of canonical Kähler metrics. In his second lecture, he extends this to the weighted Kähler setting (joint work with S. Jubert), allowing to deal with Kähler-Ricci solitons and more.
MSC Codes : 32Q20 - Kähler-Einstein manifolds
53C25 - Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C55 - Hermitian and Kählerian manifolds (global differential geometry)
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 21/03/2025 Conference Date : 03/03/2025 Subseries : Research School arXiv category : Differential Geometry ; Complex Variables Mathematical Area(s) : Geometry ; Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 00:58:57 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2025-03-03_Delcroix_1.mp4 
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Information on the Event
Event Title : Jean Morlet Chair - Winter School on K-stability / Chaire Jean Morlet - Ecole d'hiver sur la K-stabilitéEvent Organizers : Cheltsov, Ivan ; Heuberger, Liana ; Mangolte, Frédéric Dates : 03/03/2025 - 07/03/2025 Event Year : 2025 Event URL : https://conferences.cirm-math.fr/3167.html
Citation Data
DOI : 10.24350/CIRM.V.20318903Cite this video as: Delcroix, Thibaut (2025). Analytic delta invariant and weighted Kähler geometry Lecture 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20318903 URI : http://dx.doi.org/10.24350/CIRM.V.20318903 |
See Also
- [Multi angle] Introduction to K-moduli Lecture 2 / Author of the conference Devleming, Kristin.
- [Multi angle] Introduction to K-moduli Lecture 1 / Author of the conference Devleming, Kristin.
- [Multi angle] Analytic delta invariant and weighted Kähler geometry Lecture 2 / Author of the conference Delcroix, Thibaut.
Bibliography
- ZHANG, Kewei. Continuity of delta invariants and twisted Kähler–Einstein metrics. Advances in Mathematics, 2021, vol. 388, p. 107888. - https://doi.org/10.1016/j.aim.2021.107888
- DELCROIX, Thibaut et JUBERT, Simon. Numerical invariants for weighted cscK metrics. arXiv preprint arXiv:2503.01680, 2025. - https://doi.org/10.48550/arXiv.2503.01680
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