报告题目： a theory of counting surfaces in projective varieties
主 讲 人：蒋云峰 教授
单 位：美国堪萨斯大学
时 间：2024年6月18日 10：00-12：00
地 点：数学与统计学院106
摘 要：the theory of enumerative invariants of counting curves (riemann surfaces) in projective varieties has been an important theory in the last decades. the enumerative invariants were motivated by theretical physics---string theory and gauge theory, and include gromov-witten theory, donaldson-thomas theory and more recently vafa-witten theory. it is hoped that there may exist a theory of counting algebraic surfaces in projective varieties. a theory of counting surface in a calabi-yau 4-fold has been constructed using donaldson-thomas theory of 4-folds. in this talk i will try to give evidences of a counting surface theory using stable maps, and explain why it is difficult to construct the counting surface invaraints.
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 mathematic，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。