Dynamics Seminar

Wolf Jung


"Ray connections in quadratic matings"

Date: Tue, April 4, 2017
Time: 14:15
Place: Research I Seminar Room

Abstract: In the formal mating of two quadratic polynomials, we have two filled Julia sets on the sphere, and external rays connecting them. Ray-equivalence classes are fundamental to define or to describe various notions of mating. The talk will give some general explanations and focus on a few examples, where ray connections provide specific phenomena:

* Discontinuity of mating when both polynomials are varied.

* Shared matings with precisely known multiplicity.

* Direct construction of topological matings by bounding the diameter of ray connections.

* Hausdorff obstructions, which prevent a topological mating.