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蒋云峰:Enumerative Algebraic Geometry(10.2)

发布日期:2021-09-29  作者:刘敏  浏览数:

报告人:蒋云峰 美国堪萨斯大学教授

报告时间:10月2日9:00

报告地点:ZOOM ID:975 2011 3597 密码:123456

主办单位:数学与统计学院

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报告摘要:

   Modern enumerative algebraic geometry is a broad and important branch in Geometry which has close relation and impact on theoretical physics such as string theory, Yang-Mills gauge theory and quantum field theory.  The basic invariants in enumerative geometry are Gromov-Witten invariants, Donaldson-Thomas, Gopakumar-Vafa invariants and Vafa-Witten invariants etc. In this talk, I will review the basic history of Algebraic Geometry, and the main  research areas. Then I will mainly focus on enumerative algebraic geometry and introduce the counting invariants. The last part of the talk is focusing on the S-duality conjecture of Vafa-Witten which is motivated by the  electric and magnetic field  duality in N=4 supersymmetric Yang-Mills gauge theory.

  蒋云峰,美国堪萨斯大学教授,研究代数几何和数学物理,特别是Gromov-Witten理论和Donaldson-Thomas理论,以及与双有理几何,辛拓扑,几何表示论,枚举组合,S-对偶猜想和镜面对称间的联系。 科研成果丰硕,在 Advances in Mathematics, Journal Reine Angew Math,Inter.Math.Res.Notices, Math. Annalen, Math.Research Letters等著名数学杂志发表论文多篇,是国际著名的代数几何专家。