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SUMMARY:Frédéric Rochon (UQAM)
DTSTART:20240913T150000Z
DTEND:20240913T161500Z
DTSTAMP:20260423T005706Z
UID:CIRGET/121
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/121/"
 >Warped quasi-asymptotically conical Calabi-Yau metrics</a>\nby Frédéric
  Rochon (UQAM) as part of CRM - Séminaire du CIRGET / Géométrie et Topo
 logie\n\nLecture held in PK-5115.\n\nAbstract\nWe will explain how to cons
 truct new examples of complete Calabi-Yau manifolds of maximal volume grow
 th on certain smoothings of Cartesian products of Calabi-Yau cones.  A des
 cription of the geometry at infinity will be given in terms of a compactif
 ication by a manifold with corners obtained through a suitable sequence of
  blow-ups.  A key analytical step in the construction of these Calabi-Yau 
 metrics is to derive good mapping properties of the Laplacian on some suit
 able weighted Hölder spaces.   Our methods also produce Calabi-Yau metric
 s with an isolated conical singularity modelled on a Calabi-Yau cone disti
 nct from the tangent cone at infinity\, in particular yielding a transitio
 n behavior between different Calabi-Yau cones as conjectured by Yang Li.  
 This is used to exhibit many examples where the tangent cone at infinity d
 oes not uniquely specify a Calabi-Yau metric with exact Kähler form.  Thi
 s is a joint work with Ronan Conlon.\n
LOCATION:https://researchseminars.org/talk/CIRGET/121/
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