Speaker
Núria Fagella
(Universitat de Barcelona)
Description
The well-know theory of polynomial-like mappings describes the dynamics and bifurcations of proper maps defined in a region containing critical points. If instead we are in a purely transcendental setting, that is, in the presence of an (omitted) asymptotic value and no critical points, we then speak of tangent-like mappings. The model family is known as the generalized tangent family and its bifurcation locus is the boundary of the Tandelbrot set. In this talk we will introduce these concepts and see how they can be used to build a transcendental renormalization theory. This is joint work with Mathieu Astorg and Anna Miriam Benini.
Author
Núria Fagella
(Universitat de Barcelona)