Castelnuovo bound conjecture and curve-counting invariants
Castelnuovo bound conjecture and curve-counting invariants
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Zhiyu Liu, Zhejiang University
Fine Hall 110
The Castelnuovo bound conjecture, which is proposed by physicists, predicts an effective vanishing result for Gopakumar-Vafa invariants of Calabi-Yau 3-folds of Picard number one. In this talk, I will introduce recent advances toward solving this conjecture and discuss relevant results about the bounds of genus of curves in projective threefolds.