Unbendable rational curves of Goursat type and Cartan type
Prof. Qifeng Li
2022-04-29 10:30-11:30
Tencent
Speaker: Prof. Qifeng Li (Shandong University)Time: 10:30-11:30 April 29, 2022 (Friday)
Place: Online (Tencent ID: 556 197 028)
Title: Unbendable rational curves of Goursat type and Cartan type
Abstract: In this talk we discuss the relation between the geometry of unbendable rational curves on a complex manifold and natural differential systems on the corresponding Douady space parameterizing these curves. We give a correspondence between the germs of unbendable rational curves of Goursat type with ordinary differential equations of order three, and give a correspondence between the germs of unbendable rational curves of Cartan type with germs of contact manifolds. This is a joint work with Jun-Muk Hwang.
