11-21【叶和溪】管楼1418 吴文俊数学重点实验室Dynamical Systems Seminar

时间:2019-11-18

报告题目:A uniform bound for the number of common preperiodic points

报告人:叶和溪,浙江大学

 

时间:2019年11月21日(星期14:30--15:30

地点:东区管理科研楼1418教室

 

摘要: Let f_c(z)=z^2+c a the family of quadratic polynomials parameterized by complex numbers c. It was known that for any two distinct parameters c_1 and c_2 over the complex numbers, there are only finitely many preperiodic points of f_{c_1} and f_{c_2} in common. In this talk, we are going to show that there is a uniform bound for the number of common preperiodic points as c_1 and c_2 vary. Moreover, I will provide some motivations for the result of uniform bound. This is a joint work with Laura DeMarco and Holly Krieger.

 

 

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