Southwest Jiaotong University School of Mathematics


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几何拓扑学术报告:Toward holomorphic curve counting for non-toric Calabi-Yau geometry

来源:数学系   作者:李晓斌     日期:2018-03-30 10:52:30   点击数:  

报告摘要: Counting holomorphic curve in Calabi-Yau geometry is an interesting topic in geometry as well as useful knowledge in theoretical high energy physics. The method to compute it for toric Calabi-Yau geometry is relatively well developed. For example, “Seiberg-Witten curve” (essentially mirror symmetry) and “topological vertex method” are useful to compute Gromov-Witten invariants or Gopakumar-Vafa invariants. Compared to that, non-toric Calabi-Yau geometry is less understood. Motivated by the intuition coming from string theory, we conjecture that these known methods are actually applicable to some class of non-toric Calabi-Yau geometry. The key point of this conjecture is to treat it as a certain limit of some other toric Calabi-Yau geometry. We give partial but yet highly non-trivial checks about this conjecture.

报告人: Futoshi Yagi(以色列理工学院)


地点: X2536