MS Seminar (Mathematics - String Theory)

Speaker: Zhiyu Liu (Zhejiang University)
Title: Castelnuovo bound conjecture and curve-counting invariants
Date (JST): Tue, Nov 12, 2024, 15:30 - 17:00
Place: Seminar Room A
Abstract: 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 review recent advances toward solving this conjecture. I will first explain the proof for the quintic case, then explore how to extend it to all Calabi-Yau 3-folds of Picard number one.