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COMD Learning Seminar Series: Unmating Rational Maps May 13, 2022 (02:00 PM PDT - 03:00 PM PDT)
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Location: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Daniel Meyer (University of Liverpool)
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To participate in this seminar, please register HERE.

Mating of polynomials is an operation that combines geometrically the filled Julia sets of two polynomials. Surprisingly, this “often” leads to a sphere and the dynamics of the polynomials descend to a rational map. This operation has parallels in the theory of Kleinian groups (in particular manifolds that fiber over the circle), as well as in random geometry (the Brownian map). 

Unmating is the reverse operation. This means decomposing a rational map into two polynomials. I will present a sufficient criterion when this is possible, together with an algorithm to find the involved polynomials. 

93169?type=thumb Unmating Rational Maps 551 KB application/pdf
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