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.