报告题目：Symplectic log Kodaira dimension −∞, affine-ruledness and unicuspidal rational curves

报告摘要：A classical theorem of Liu-Ohta-Ono asserts that any symplectic 4-manifold with negative pairing between the symplectic form and canonical class must be rational or ruled. This result is a symplectic reminiscence of the more classical characterization of complex surfaces with Kodaira dimension −∞. In this talk, we will discuss the generalization of this result to the relative setting by considering symplectic divisors whose adjoint class has negative pairing with canonical class. In parallel to the theorem of Fujita-Miyanishi-Sugie-Russell in the algebraic context, we show that the complement of such divisors is foliated by a certain family of unicuspidal rational curves, thereby admitting the affine-ruled structure. This is based on joint work with Shengzhen Ning.

报告人：李天军，明尼苏达大学教授。

报告时间：2025年7月6日14:30

报告地点： 修远楼A栋604

主办单位：湖北民族大学数学与统计学院

联系人：牟双

欢迎广大师生参加！