Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Dr. Tao Chen，CUNY, USA
Inviter:
Title:
Parameter slide of meromorphic functions with two asymptotic values
Time & Venue:
2019.8.20 10:30-11:30 N226
Abstract:
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 ofanother 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.
Appendix：
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