Enumerative Algebraic Geometry (枚举代数几何)

03.11.2021  21:13
主  讲  人  : 蒋云峰        教授

活动时间: 11月05日08时30分       

地            点  : 腾讯会议ID:936 936 616

讲座内容:

Modern enumerative algebraic geometry is a broadand important branch in Geometry which has close relation and impact ontheoretical physics such as string theory, Yang-Mills gauge theory and quantumfield theory.   The basic invariants in enumerative geometry areGromov-Witten invariants, Donaldson-Thomas, Gopakumar-Vafa   invariants andVafa-Witten invariants etc. In this talk I will review the basic history ofAlgebraic Geometry, and the main   research areas.   Then I will mainlyfocus on enumerative algebraic geometry and introduce the main countinginvariants.   The last part of the talk is focusing on the S-dualityconjecture of Vafa-Witten which is motivated by the   electric and magneticfield   duality in N=4 supersymmetric Yang-Mills gauge theory.

主讲人介绍:

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。

发布时间:2021-11-03 09:22:12