|Location:||MSRI: Simons Auditorium, Online/Virtual|
COMD Learning Seminar Series: Polynomial Dynamics In Per_n(0)
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.
Polynomial Dynamics in Per_n(0)