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SUMMARY:Simon Jubert (Université du Québec à Montréal)
DTSTART:20221108T160000Z
DTEND:20221108T170000Z
DTSTAMP:20260423T022725Z
UID:Geolis/94
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/94/">
 A Yau-Tian-Donaldson correspondence on a class of toric fibration</a>\nby 
 Simon Jubert (Université du Québec à Montréal) as part of Geometria em
  Lisboa (IST)\n\n\nAbstract\nThe Yau-Tian-Donaldson (YTD) conjecture predi
 cts that the existence of an extremal metric (in the sense of Calabi) in a
  given Kahler class of Kahler manifold is equivalent to a certain algebro-
 geometric notion of stability of this class. In this talk\, we will discus
 s the resolution of this conjecture for a certain class of toric fibration
 s\, called semisimple principal toric fibrations. After an introduction to
  the Calabi Problem for general Kahler manifolds\, we will focus on the to
 ric setting. Then we will see how to reduce the Calabi problem on the tota
 l space of a semisimple principal toric fibration to a weighted constant s
 calar curvature K\\"ahler problem on the toric fibers. If the time allows\
 , I will give elements of proof.\n
LOCATION:https://researchseminars.org/talk/Geolis/94/
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