题目： On the genericity of Lorenz-like dynamics
报告人：杨大伟 教授 (苏州大学)
摘要：The aim is to describe "most" dynamics for three-dimensional vector fields in the $C^1$ topology. We prove that any three-dimensional vector field can be either accumulated by Lorenz-like dynamics (which are called "singular hyperbolic dynamics"), or ones with a homoclinic tangency of some regular periodic orbit. The main difficulty is to deal with singularities. This answers a conjecture of Palis and is a joint work with S. Crovisier.