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UID:ad0e6d9d4615198aea347120ec1c95f5
CATEGORIES:Joint Princeton-Rutgers Seminar on Geometric PDE's
CREATED:20221128T101450
SUMMARY:Collapsing Ricci-flat metrics: estimates or no estimates?
LOCATION:Fine Hall 110\, Princeton University
DESCRIPTION:<p><strong>Abstract:&nbsp;</strong>Compact Calabi-Yau manifolds admit Ricci
 -flat Kahler metrics thanks to a celebrated theorem of Yau, a unique such m
 etric in each Kahler cohomology class. If we degenerate the class, the corr
 esponding Ricci-flat metrics will also degenerate, and one can ask whether 
 they admit uniform bounds (in all C^k norms) away from a closed analytic su
 bvariety. This is known when the metrics are not collapsing, but the collap
 sing case is much more challenging. I will discuss how the answer to this q
 uestion is positive when the limiting class comes from the base of a fibrat
 ion (joint with Hein), and negative in general when there is no such fibrat
 ion (joint with Filip), and raise some related open questions.</p>
CONTACT:Valentino Tosatti, Courant Institute, NYU
DTSTAMP:20260830T044556
DTSTART;TZID=America/New_York:20221209T143000
DTEND;TZID=America/New_York:20221209T153000
SEQUENCE:0
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