Séminaires : Séminaire d'Analyse et Géométrie

Equipe(s) :
Responsables :O. Biquard, J. Cao, I. Itenberg, X. Ma
Email des responsables : olivier.biquard@sorbonne-universite.fr
Salle : Barre 15-25, 5ème étage, salle 02
Adresse :Campus Pierre et Marie Curie
Description

Le séminaire d'analyse et géométrie reprend au mois de mai sous forme électronique et en partenariat avec le séminaire sur l'opérateur de Dirac de Jean-Michel Bismut à Orsay.
Les exposés auront lieu le mercredi,sur le format environ 1H d'exposé/questions/environ 1/2H de compléments.


Orateur(s) Antonio Trusiani - ,
Titre Séance annulée - Continuity of the Monge- Ampère operator and Kähler-Einsten metrics with prescribed singularities
Date31/03/2020
Horaire14:00 à 15:00
Diffusion
Résume

On (X, ω) compact Kähler manifold, I will show that the Monge-Ampère operator is an homeomorphism between a set XA of certain ω-plurisubharmonic functions whose singularities are encoded in a total ordered family A ⊂ PSH(X, ω) representing some singularity types and a set YA of measures. The elements of these sets are characterized by having relative finite energy, so they have natural strong topologies which make the energies continuous. Then I will expose how to deal with complex Monge-Ampère equations with prescribed singularities through a continuity method which also involves the singularities types. As application and main motivation, I will also present how in the Fano case the existence of Kähler-Einstein metrics with prescribed singularities is related to the existence of the genuine Kähler-Einstein metrics.

SalleBarre 15-25, 5ème étage, salle 02
AdresseCampus Pierre et Marie Curie
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