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SUMMARY:Hans-Joachim Hein (Münster)
DTSTART:20210601T124500Z
DTEND:20210601T134500Z
DTSTAMP:20260423T005653Z
UID:BOWL/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BOWL/25/">Sm
 ooth asymptotics for collapsing Calabi-Yau metrics</a>\nby Hans-Joachim He
 in (Münster) as part of B.O.W.L Geometry Seminar\n\n\nAbstract\nI will pr
 esent recent joint work with Valentino Tosatti in which we obtain a comple
 te asymptotic expansion (locally uniformly away from the singular fibers) 
 of Calabi-Yau metrics collapsing along a holomorphic fibration of a fixed 
 compact Calabi-Yau manifold. The result is weaker than a standard asymptot
 ic expansion in that the coefficient functions might still depend on the s
 mall parameter in some unknown way in the base variables. However\, it is 
 far stronger in that all terms including the remainder at each order are p
 roved to be uniformly bounded in C^k for all k. We also calculate the firs
 t nontrivial coefficient in terms of the Kodaira-Spencer forms of the fibr
 ation.\n
LOCATION:https://researchseminars.org/talk/BOWL/25/
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