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。