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SUMMARY:Chen Jiang (Shanghai Center for Mathematical Sciences\, Fudan Univ
 ersity)
DTSTART:20200505T150000Z
DTEND:20200505T160000Z
DTSTAMP:20260423T052808Z
UID:ZAG/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/4/">Mini
 mal log discrepancies of 3-dimensional non-canonical singularities</a>\nby
  Chen Jiang (Shanghai Center for Mathematical Sciences\, Fudan University)
  as part of ZAG (Zoom Algebraic Geometry) seminar\n\n\nAbstract\nCanonical
  and terminal singularities\, introduced by Reid\, appear naturally in min
 imal model program and play important roles in the birational classificati
 on of higher dimensional algebraic varieties. Such singularities are well-
 understood in dimension 3\, while the property of non-canonical singularit
 ies is still mysterious. We investigate the difference between canonical a
 nd non-canonical singularities via minimal log discrepancies (MLD). We sho
 w that there is a gap between MLD of 3-dimensional non-canonical singulari
 ties and that of 3-dimensional canonical singularities\, which is predicte
 d by a conjecture of Shokurov. This result on local singularities has appl
 ications to global geometry of Calabi–Yau 3-folds. We show that the set 
 of all non-canonical klt Calabi–Yau 3-folds are bounded modulo flops\, a
 nd the global indices of all klt Calabi–Yau 3-folds are bounded from abo
 ve.\n
LOCATION:https://researchseminars.org/talk/ZAG/4/
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