Home /  COMD Junior Seminar Series: "Sharkovskii's ordering: From Real to Complex Polynomials"

Seminar

COMD Junior Seminar Series: "Sharkovskii's ordering: From Real to Complex Polynomials" May 23, 2022 (02:00 PM PDT - 02:50 PM PDT)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Reila Zheng (University of Toronto)
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To participate in this seminar, please register HERE.

In this talk I will describe Sharkovskii's classical result for periodic points of a continuous self-map of an interval. I will then introduce some basic concepts in complex dynamics. I will describe the Mandelbrot set as well as a combinatorial structure of the hyperbolic components. Finally I will describe how Sharkovskii's ordering, as well as generalized versions of it, are found on the Mandelbrot set.

This seminar is for postdocs and PhD students, and we kindly ask faculty not to attend.

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