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SUMMARY:Hans-Joachim Hein (University of Münster)
DTSTART:20210622T170000Z
DTEND:20210622T180000Z
DTSTAMP:20260423T035057Z
UID:OSGA/66
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/66/">Sm
 ooth asymptotics for collapsing Calabi-Yau metrics</a>\nby Hans-Joachim He
 in (University of Münster) as part of Online Seminar "Geometric Analysis"
 \n\n\nAbstract\nYau's solution of the Calabi conjecture provided the first
  nontrivial examples of Ricci-flat Riemannian metrics on compact manifolds
 . Attempts to understand the degeneration patterns of these metrics in fam
 ilies have revealed many remarkable phenomena over the years. I will revie
 w some aspects of this story and present recent joint work with Valentino 
 Tosatti where we obtain a complete asymptotic expansion (locally uniformly
  away from the singular fibers) of Calabi-Yau metrics collapsing along a h
 olomorphic fibration of a fixed compact Calabi-Yau manifold. This relies o
 n a new analytic method where each additional term of the expansion arises
  as the obstruction to proving a uniform bound on one additional derivativ
 e of the remainder.\n
LOCATION:https://researchseminars.org/talk/OSGA/66/
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