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) Martin De Borbon - Université de Nantes, Hector Pasten - Pontificia Universidad Católica de Chile,
Titre Calabi-Yau metrics with cone singularities along complex lines
Horaire14:00 à 15:00

I will talk about joint work with C. Spotti on Calabi-Yau metrics with cone singularities along line arrangements in the complex projective plane. If a numerical constraint on the cone angles (known as the Troyanov condition) at a multiple point of the arrangement is satisfied, then we identify the tangent cone of the Calabi-Yau metric as a Polyhedral Kahler cone. By the end of the talk I will present work in progress, joint with G. Edwards, considering the case where the Troyanov condition is not satisfied