Algebraic Dynamics Seminar: Marked cycle curves for quadratic polynomials and rational maps


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April 27, 2023 3:30 pm - 5:30 pm
Science Center 530

Giulio Tiozzo - University of Toronto

We consider the algebraic curves obtained by marking a cycle of fixed period p in the space of quadratic polynomials. For each period, we produce a cell decomposition, whose combinatorics is closely related to the combinatorics of primitive components in the Mandelbrot set. This opens up many questions about their combinatorial and geometric structure. We also consider similar curves for the space of quadratic rational maps with a critical 2-cycle.  Joint work with Caroline Davis, Malavika Mukundan, and Danny Stoll.

For more information, please see:  Algebraic Dynamics Seminar at Harvard

**please note change in time and location**