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UID:20251120T181444EST-4641BzcsNZ@132.216.98.100
DTSTAMP:20251120T231444Z
DESCRIPTION:Title: Higher order estimates for collapsing Ricci-flat metrics
 .\n\n\n	Abstract: I will discuss the problem of obtaining uniform C^k estim
 ates for solutions of a degenerating family of complex Monge-Ampere equati
 ons where the ellipticity is degenerating along the fibers of a fibration.
  Geometrically\, the solutions of this family of PDE give Ricci-flat Kahle
 r metrics on a Calabi-Yau manifold with a holomorphic fibration onto a low
 er-dimensional space. I will describe new estimates that prove a uniform C
 ^{2\,alpha} bound in general\, and C^k bounds for all k when the smooth fi
 bers are all pairwise isomorphic. This is joint work with H.-J. Hein.\n
DTSTART:20190311T190000Z
DTEND:20190311T200000Z
LOCATION:Room 1214\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Valentino Tosatti (Northwestern University)
URL:/mathstat/channels/event/valentino-tosatti-northwe
 stern-university-295344
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