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

Orateur(s) Ruadhai Dervan - Cambridge,
Titre The Kähler-Ricci flow and optimal degenerations
Horaire14:00 à 15:00
RésumeIt was recently shown by Chen-Sun-Wang that the Kähler-Ricci flow on a Fano manifold gives rise to a certain algebraic degeneration of the manifold. They conjectured that this degeneration should be ”most destabilising”. We introduce a new stability notion, with respect to which the Chen-Sun-Wang degeneration is most destabilising. As an application, we prove a general convergence result for the Kähler-Ricci flow on Fano manifolds admitting a Kähler-Ricci soliton, generalising work of Tian-Zhu and Tian-Zhang-Zhu. This is joint work with Gabor Székelyhidi.