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Seminar

COMD Learning Seminar Series: Polynomial Dynamics in Per_n(0) May 20, 2022 (02:00 PM PDT - 03:00 PM PDT)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Caroline Davis (Indiana University)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

COMD Learning Seminar Series: Polynomial Dynamics In Per_n(0)

Abstract/Media

To participate in this seminar, please register HERE.

Just as Per_1 houses the illustrious Mandelbrot set, so too does Per_n a combinatorial fractal object. In yet another talk about everybody's favorite variety, we’ll see how polynomials with super-attracting n-cycles naturally give rise to rational dynamics, by ways such as matings and captures. With these concepts we will discuss in detail the combinatorics for n<=5 and indicate a strategy to prove Per_n is connected. 

93197?type=thumb Polynomial Dynamics in Per_n(0) 15 MB application/pdf

COMD Learning Seminar Series: Polynomial Dynamics In Per_n(0)