报告题目：Enumerative Algebraic Geometry 

主 讲 人：蒋云峰

单 位：University of Kansas

时 间：10月2日9:00

ZOOM ID：975 2011 3597

密 码：123456

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。