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Jeff Viaclovsky - Deformation theory of scalar-flat Kahler ALE surfaces | |
| Auteur(s) : VIACLOVSKY JEFF
30-06-2016
Éditeur(s) : Fanny Bastien; Description : I will discuss a Kuranishi-type theorem for deformations of complex structure on ALE Kahler surfaces, which will be used to prove that for any scalar-flat Kahler ALE surface, all small deformations of complex structure also admit scalar-flat Kahler ALE metrics. A local moduli space of scalar-flat Kahler ALE metrics can then be constructed, which is universal up to small diffeomorphisms. I will also discuss a formula for the dimension of the local moduli space in the case of a scalar-flat Kahler ALE surface which deforms to a minimal resolution of an isolated quotient singularity. This is joint work with Jiyuan Han. Mots-clés libres : Grenoble, scalar-flat, UGA, topology, metric geometry, geometric analysis, summer school, institut fourier, CNRS, Khäler ALE surfaces Classification générale : Mathématiques Accès à la ressource : http://www.canal-u.tv/video/institut_fourier/jeff_... rtmpt://fms2.cerimes.fr:80/vod/institut_fourier/je... Conditions d'utilisation : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0 | DONNEES PEDAGOGIQUES Type pédagogique : cours / présentation Niveau : doctorat DONNEES TECHNIQUES Format : video/x-flv Taille : 1.69 Go Durée d'exécution : 47 minutes 37 secondes |
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