A uniform bound for the number of common preperiodic points

时间:2019-11-19

Title:A uniform bound for the number of common preperiodic points

Speaker: Ye Hexi, Zhejiang University

Time: 2019-11-21     14:30--15:30

Place: Room 1418, School of Mathematical Sciences, Management Research Building, East Campus

Abstract: 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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