学术报告（李天军 2026.11.3）

摘要：Abstract: Symplectic 4-manifold with negative pairing between the symplectic form and canonical class are uniruled. 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 algebraic geometry, we show that the complement of such divisors contains a family of affine lines, thereby admitting the affine-ruled structure. This is based on joint work with Shengzhen Ning.