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Interdisciplinary Center for Quantitative Modeling in Biology

Mario Bonk, UCLA

Abstract: Many questions in analysis and geometry lead to  problems of quasiconformal geometry on non-smooth or fractal spaces.  For example, there is a close relation of this subject to the problem of characterizing fundamental groups of hyperbolic 3-orbifolds or to Thurston's characterization of rational functions with finite postcritical set.

In recent years,  the classical theory of quasiconformal maps between Euclidean spaces has been successfully extended to  more general settings and powerful tools have become available.  Fractal 2-spheres or  Sierpinski carpets are typical spaces for which this deeper understanding of their quasiconformal geometry is particularly relevant and interesting.In my talk I will give a survey on some recent developments in this area.

Type
Colloquium
Admission
Free
Registration Required
No
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