Analytic delta invariant and weighted Kähler geometry Lecture 1 | Vidéo | Carmin.tv

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Analytic delta invariant and weighted Kähler geometry Lecture 1

By Thibaut Delcroix

Appears in collection : Jean Morlet Chair - Winter School on K-stability / Chaire Jean Morlet - Ecole d'hiver sur la K-stabilité

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.

Information about the video

Date of recording 03/03/2025
Date of publication 21/03/2025
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20318903
Cite this video Delcroix, Thibaut (03/03/2025). Analytic delta invariant and weighted Kähler geometry Lecture 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20318903
URL https://dx.doi.org/10.24350/CIRM.V.20318903

Domain(s)

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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