题    目: Refined floor diagrams relative to a conic and Gromov-Witten invariants of del Pezzo surfaces

主讲人：丁岩峭 副教授

单    位：郑州大学

时    间：2024年12月31日10:30

地    点：数学院南研教室

摘    要：We show that, after the change of variables q=e^{iu}, refined floor diagrams relative to a conic compute generating series of higher genus relative Gromov-Witten invariants with a Lambda class insertion of del Pezzo surfaces. For preferred classes, we show that refined counts of floor diagrams relative to a conic are related to relative Gromov-Witten invariants without Lambda class insertion and Welschinger type invariants of del Pezzo surfaces. The proof uses the degeneration formula in relative Gromov-Witten theory. This talk is based on a joint work in progress with Jianxun Hu.

简    介：丁岩峭 郑州大学数学与统计学院副教授，研究领域为：辛拓扑、枚举几何、镜像对称。主持国家青年基金与河南省青年基金。