报告题目：Enumerative Geometry of Projective Planes and Their Asymptotic Behavior

报 告 人：Shuai Guo

所在单位：Peking University

报告时间：September 16, 2025, 10:00-11:00

报告地点：Zoom Id: 904 645 6677，Password: 2025

会议链接：

//zoom.us/j/9046456677?pwd=LJpBPzAw2Sn0MKhb0Qc6QdJ1jEeh7B.1&omn=88293207047

报告摘要: It is a classical problem in enumerative geometry to count the number of irreducible genus-g, degree-d curves in the projective plane that pass through 3d-1+g generic points. These counts are now known as Gromov-Witten invariants of the complex projective plane.

In this talk, we will first introduce the basic concepts of the moduli space of stable maps and Gromov-Witten invariants, then review the computational methods developed in the existing literature. We will further apply these structural results to the case of the complex projective plane, and investigate the asymptotic behavior of Gromov-Witten invariants for P^2. This is based on a joint work with Gang Tian and Tianhang Xu.

报告人简介： 郭帅，北京大学博雅特聘教授，娱乐城 数学物理教研室主任。2006年毕业于清华大学物理系，获基础科学专业学士学位，2011年博士毕业于清华大学数学系，获基础数学博士学位。其主要研究领域为数学物理，尤其聚焦于镜像对称与高亏格计数几何。在这一方向上，成功解决一系列二十多年来长期悬而未解的数学猜想，引起了国际同行的普遍关注。已在包括Annals of Mathematics，Forum of Mathematics, Pi等国际顶尖数学杂志上发表多篇论文。曾入选国家青年拔尖人才支持计划，获国家杰出青年科学基金项目资助，并获求是杰出青年学者奖、教育部青年科学奖、茅以升北京青年科技奖和中国青年科技奖等多项荣誉。