seminar: Dynamical Generation of Parameter Laminations
speaker: Vladlen Timorin (National Research University Higher School of Economics, Russia)abstract: There is a simple and explicit model for the Mandelbrot set. If the Mandelbrot set turns out to be locally connected, then it is homeomorphic to the model. The model, which is called the combinatorial Mandelbrot set, was described by Thurston in terms of a lamination in the unit disk – the so called Quadratic Minor Lamination QML (another description was given earlier by Douady and Hubbard). We describe a dynamic method of generating the QML. This method also provides a self-similar description of QML and a model for the space of non-renormalizable quadratic polynomials. Moreover, it should also apply to slices of higher degree polynomials. This is a joint project with Alexander Blokh and Lex Oversteegen, University of Alabama at Birmingham.
timetable:
Tue 16 Apr, 14:30 - 15:30, Sala Conferenze Centro De Giorgi
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