Conférence

Jeff Viaclovsky - Deformation theory of scalar-flat Kahler ALE surfaces

Réalisation : 30 juin 2016 Mise en ligne : 30 juin 2016
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Descriptif

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.

Intervenants
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Langue :
Anglais
Crédits
Fanny Bastien (Réalisation)
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CC BY-NC-ND 4.0
Citer cette ressource:
I_Fourier. (2016, 30 juin). Jeff Viaclovsky - Deformation theory of scalar-flat Kahler ALE surfaces. [Vidéo]. Canal-U. https://www.canal-u.tv/87185. (Consultée le 28 mai 2022)
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