中国科学院数学与系统科学研究院

数学研究所

学术报告

代数几何研讨班

报告人: 李起峰 教授（山东大学）

题  目：Geometric structures arising from minimal rational curves

时  间：2024.11.07（星期四）14：00-15：00

地  点：思源楼S615

摘  要：Indicated by the Cartan-Fubini type extension theorem, the geometry of  Fano manifolds of Picard number one can be determined by  the local VMRT-structures. Roughly speaking, the VMRT is the variety of projectivized tangent directions of minimal rational curves. It is observed that VMRT-structure is itself a geometric sturcture. In this talk, we would like to discuss the geometric structures arising from minimal rational curves and also its applications to the geometry of Fano manifolds. This talk is based on joint works with Jun-Muk Hwang.