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SUMMARY:Chen Jiang (Shanghai Center for Mathematical Sciences\, Fudan Univ
 ersity)
DTSTART:20200505T150000Z
DTEND:20200505T160000Z
DTSTAMP:20260404T145131Z
UID:ZAG/4
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/ZAG/4
 /">Minimal log discrepancies of 3-dimensional non-canonical singularities<
 /a>\nby Chen Jiang (Shanghai Center for Mathematical Sciences\, Fudan Univ
 ersity) as part of ZAG (Zoom Algebraic Geometry) seminar\n\n\nAbstract\nCa
 nonical and terminal singularities\, introduced by Reid\, appear naturally
  in minimal model program and play important roles in the birational class
 ification of higher dimensional algebraic varieties. Such singularities ar
 e well-understood in dimension 3\, while the property of non-canonical sin
 gularities is still mysterious. We investigate the difference between cano
 nical and non-canonical singularities via minimal log discrepancies (MLD).
  We show that there is a gap between MLD of 3-dimensional non-canonical si
 ngularities and that of 3-dimensional canonical singularities\, which is p
 redicted by a conjecture of Shokurov. This result on local singularities h
 as applications to global geometry of Calabi–Yau 3-folds. We show that t
 he set of all non-canonical klt Calabi–Yau 3-folds are bounded modulo fl
 ops\, and the global indices of all klt Calabi–Yau 3-folds are bounded f
 rom above.\n
LOCATION:https://stable.researchseminars.org/talk/ZAG/4/
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