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SUMMARY:Yu-Shen Lin (Boston University)
DTSTART:20241112T160000Z
DTEND:20241112T170000Z
DTSTAMP:20260423T022734Z
UID:Geolis/160
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/160/"
 >Special Lagrangians in Calabi-Yau $3$-folds with a K3-fibration</a>\nby Y
 u-Shen Lin (Boston University) as part of Geometria em Lisboa (IST)\n\n\nA
 bstract\nSpecial Lagrangians form an important class of minimal submanifol
 ds in Calabi-Yau manifolds. In this talk\, we will consider the Calabi-Yau
  $3$-folds with a K3-fibration and the size of the K3-fibres are small. Mo
 tivated by tropical geometry\, Donaldson-Scaduto conjectured that special 
 Lagrangian collapse to ``gradient cycles" when the K3-fibres collapse. Thi
 s phenomenon is similar to holomorphic curves in Calabi-Yau manifolds with
  collapsing special Lagrangian fibrations converging to tropical curves. S
 imilar to the realization problem in tropical geometry\, one might expect 
 to reconstruct special Lagrangians from gradient cycles. In this talk\, I 
 will report the first theorem of this kind based on a joint work with Shih
 -Kai Chiu.\n
LOCATION:https://researchseminars.org/talk/Geolis/160/
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