Séminaires : Séminaire d'Analyse et Géométrie

Equipe(s) :
Responsables :O. Biquard, A. Deruelle, I. Itenberg, X. Ma
Email des responsables : {olivier.biquard, alix.deruelle, ilia.itenberg, xiaonan.ma}@imj-prg.fr
Salle : 15–25.502
Adresse :Jussieu
Description

Orateur(s) Charles Cifarelli - Universite de Nantes,
Titre Kähler-Ricci solitons and toric geometry
Date08/02/2022
Horaire14:00 à 15:00
Diffusion
RésumeKähler-Ricci solitons are a natural generalization of the concept of a Kähler-Einstein metric which arise in the study of the Kähler-Ricci flow. In particular, shrinking gradient Kähler-Ricci solitons on non-compact manifolds model the singularity development of the Kähler-Ricci flow. In this talk, I will present some of my thesis work on the uniqueness of shrinking gradient Kähler-Ricci solitons on non-compact toric manifolds. In particular, the standard product of the Fubini-Study metric on CP¹ (the round metric on S²) and the Euclidean metric on C is the only shrinking gradient Kähler-Ricci soliton on CP¹ x C with bounded scalar curvature.
Salle15–25.502
AdresseJussieu
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