中科院数学与系统科学研究院
数学研究所
动力系统研讨班报告
报告人：Dr. Tao Chen (CUNY, USA)
题 目：Parameter slide of meromorphic functions with two asymptotic values
时 间：2019.08.20（星期二）, 10:30-11:30
地 点：数学院南楼N226室
摘 要：The space of meromorphic function is isomorphic to C^3 as the space of rational maps of degree of two. Different slices, such as e^z+c, and \lambda \tan z, have been thoroughly investigated in literature. In this talk, we will give a topological and combinatorial description of another slide of this space: consisting of all maps with one attracting fixed point. In particular, using the“ critical point surgery” method, we are able to prove that the Mandelbrot-like set is connected. This is a joint work with Yunping Jiang and Linda Keen.
