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SUMMARY:Yuchen Liu (Yale University)
DTSTART:20200813T150000Z
DTEND:20200813T160000Z
DTSTAMP:20260423T052928Z
UID:ZAG/40
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/40/">On 
 K-stability of cubic hypersurfaces</a>\nby Yuchen Liu (Yale University) as
  part of ZAG (Zoom Algebraic Geometry) seminar\n\n\nAbstract\nK-stability 
 of Fano varieties is an algebro-geometric stability condition characterizi
 ng the existence of K\\"ahler-Einstein metrics. Recent progress on K-stabi
 lity suggests that it provides a good moduli theory for Fano varieties. In
  this talk\, I will explain how K-moduli spaces can help us prove K-stabil
 ity of smooth cubic hypersurfaces in dimension at most 4\, using a local-t
 o-global volume comparison result. Part of this talk is based on joint wor
 k with Chenyang Xu.\n
LOCATION:https://researchseminars.org/talk/ZAG/40/
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