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UID:7478@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20171009T140000
DTEND;TZID=Europe/Paris:20171009T150000
DTSTAMP:20241120T204341Z
URL:https://www.i2m.univ-amu.fr/evenements/geometric-quantisation-and-extr
 emal-kahler-metrics/
SUMMARY:Yoshinori Hashimoto (I2M\, Aix-Marseille Université): Geometric qu
 antisation and extremal Kähler metrics
DESCRIPTION:Yoshinori Hashimoto: Existence of canonical Kähler metrics\, s
 uch as Kähler-Einstein metrics or more generally extremal Kähler metrics
 \, has been studied intensively in recent years. Although this amounts to 
 solving a nonlinear PDE\, it is known to have a deep connection to a purel
 y algebro-geometric notion called K-stability\, defined in terms of Geomet
 ric Invariant Theory. In the first part of this talk\, we shall review the
  background and introduce Donaldson’s approach to this problem with idea
 s from geometric quantisation. In presence of symmetries this approach doe
 s not naively work\, and in the second part of the talk we shall introduce
  a new “quantising” equation to extend Donaldson’s result in presenc
 e of symmetries\, and discuss its implications to relative K-stability.\n\
 n\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Yoshinori_Hashimoto.jpg
CATEGORIES:Séminaire,Dynamique et Topologie
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