中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

华罗庚青年数学论坛

综合报告

报告人： 陈旭佳 博士 （哈佛大学）

题  目：At the intersection of topology and enumerative geometry---counting real and open J-holomorphic curves

时  间：2023.09.08（星期五），09:00-10:00

地  点：Zoom会议：836 0194 7631   密码：0908

摘  要：How many degree d curves in CP^2 pass through 3d-1 given points? This count does not depend on where the points are (as long as in general position) and it is an example of “Gromov-Witten invariants”. But if we change CP^2 to RP^2, the count does depend on where the points are---namely, not an “invariant” anymore. However, Welschinger (2003) showed that if counted with appropriate signs, it is again an invariant. This is an example of “real Gromov-Witten invariants”. I will give a gentle introduction to Gromov-Witten theory, especially the real/open sector of it, and overview some of my works in it.