|Date: Tuesday, January 24, 2006
Title: Quasiconformal Geometry of Fractals
Abstract: Many questions in analysis and geometry lead to problems of quasiconformal geometry on non-smooth or fractal spaces. There is a close relation of this subject to the problem of characterizing fundamental groups of hyperbolic 3-orbifolds and to Thurston's characterization of rational functions with finite post-critical set. In recent years, the classical theory of quasiconformal maps between Euclidean spaces has been successfully extended to more general settings. Powerful tools have become available. Fractal 2-spheres and Sierpinski carpets are typical spaces for which deeper understanding of their quasiconformal geometry is particularly relevant and interesting. This talk surveys recent developments in this area.
Speaker: Mario Bonk