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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: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Caroline Davis (Indiana University)
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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)