Séminaires : Séminaire d'Analyse et Géométrie

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

Orateur(s) Lars Sektnan - Université du Québec à Montréal,
Titre Poincaré type extremal metrics and stability of pairs on Hirzebruch surfaces
Date05/06/2018
Horaire14:00 à 15:00
RésumeIn this talk I will discuss the existence of complete extremal metrics on the complement of simple normal crossings divisors in compact Kähler manifolds, and stability of pairs, in the toric case. Using constructions of Legendre and Apostolov-Calderbank-Gauduchon, we completely characterize when this holds for Hirzebruch surfaces. In particular, our results show that relative stability of a pair and the existence of extremal Poincaré type/cusp metrics do not coincide. However, stability is equivalent to the existence of a complete extremal metric on the complement of the divisor in our examples. It is the Poincaré type condition on the asymptotics of the extremal metric that fails in general. This is joint work with Vestislav Apostolov and Hugues Auvray.
SalleBarre 15-25, 5ème étage, salle 02
AdresseCampus Pierre et Marie Curie
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