Summer School 2016 -  Geometric Analysis, Metric Geometry and Topology

Collection Summer School 2016 - Geometric Analysis, Metric Geometry and Topology

Organizer(s) Institut Fourier
Date(s) 13/06/2016 - 01/07/2016
linked URL https://if-summer2016.sciencesconf.org
00:00:00 / 00:00:00
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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.

Information about the video

  • Date of recording 30/06/2016
  • Date of publication 04/02/2026
  • Institution Institut Fourier
  • Licence CC BY NC ND
  • Language English
  • Format MP4

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