报告人：蒋云峰教授(University of Kansas, USA)

报告时间：2021.10.21（星期四）上午 09:00-10:00

报告地点： 腾讯会议 ID：391 541 644，密码：202110

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.

简介：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Journal of differential geometry, Journal of algebraic geometry, 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，是国际知名的代数几何专家。也欢迎对该研究方向感兴趣的本科生和研究生报考蒋云峰教授博士生。

详细招生信息见https://math.ku.edu/admission-graduate-program（堪萨斯大学数学系招生主页）;

https://jayhawkmath-sneakpeek.ku.edu（11月6日的zoom在线博士生招生咨询，参与需先页面注册）;

https://jiang.ku.edu（蒋云峰教授的个人主页)。

邀请人：吕仁才