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SUMMARY:Giulia Saccà (Columbia University)
DTSTART:20210316T170000Z
DTEND:20210316T180000Z
DTSTAMP:20260423T022625Z
UID:Geolis/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/36/">
 Compact Hyper-Kählers and Fano Manifolds</a>\nby Giulia Saccà (Columbia 
 University) as part of Geometria em Lisboa (IST)\n\n\nAbstract\nProjective
  hyper-Kähler (HK) manifolds are among the building blocks of projective 
 manifolds with trivial first Chern class. Fano manifolds are projective ma
 nifolds with positive first Chern class.\n\nDespite the fact that these tw
 o classes of algebraic varieties are very different (HK manifolds have a h
 olomorphic symplectic form which governs all of its geometry\, Fano manifo
 lds have no holomorphic forms) their geometries have some strong ties. For
  example\, starting from some special Fano manifolds one can sometimes con
 struct HK manifolds as parameter spaces of objects on the Fano. In this ta
 lk I will explain this circle of ideas and focus on some recent work explo
 ring the converse: given a projective HK manifold\, how to recover a Fano 
 manifold from it?\n
LOCATION:https://researchseminars.org/talk/Geolis/36/
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