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 : Demander le lien Zoom à olivier.biquard@sorbonne-universite.fr
Adresse :demande
Description

Orateur(s) Richard Bamler - UC|Berkeley,
Titre Compactness and partial regularity theory of Ricci ows in higher dimensions
Date03/03/2021
Horaire15:45 à 17:00
Diffusion
RésumeWe present a new compactness theory of Ricci flows. This theory states that any sequence of Ricci flows that is pointed in an appropriate sense, subsequentially converges to a synthetic flow. Under a natural non-collapsing condition, this limiting flow is smooth on the complement of a singular set of parabolic codimension at least 4.We furthermore obtain a stratification of the singular set with optimal dimensional bounds depending on the symmetries of the tangent flows. Our methods also imply the correspondingquantitative stratifiation result and the expected L^p-curvature bounds. As an application we obtain a description of the singularity formation at the first singular time and a long-time characterization of immortal flows, which generalizes the thick-thin decomposition in dimension 3.We also obtain a backwards pseudolocality theorem and discuss several other applications.
SalleDemander le lien Zoom à olivier.biquard@sorbonne-universite.fr
Adressedemande
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