Orateur
Description
In this talk we will introduce a transcendental version of the theory of polynomial-like mappings. The model family is a one parameter family $T_\alpha$ of "generalized tangent maps", which are meromorphic funtions with exactly two asymptotic values, only one of which is free. A straightenning theorem will explain why we find copies of Julia sets of $T_\alpha$ in the dynamical plane of other maps with a free asymptotic value. Likewise, in parameter space, we find copies of the "Mandelshell", the universal object whose boundary is the bifurcation locus of the family $T_\alpha$.
The concept of "tangent-like mappings" was originally defined by Galazka and Kotus in 2008.
This is joint work (in progress) with Anna Miriam Benini and Matthieu Astorg.
