The Assouad dimension of Kleinian limit sets

The event is taking part on the Thursday, May 16th 2019 at 15.30
Theme/s: Pure Maths
Location of Event: 306 Alan Turing
This event is a: Public Seminar

The dimension theory of geometrically finite Kleinian groups and their limit sets has a rich and interesting history, with the first calculation of Hausdorff dimension going back to seminal work of Patterson and Sullivan from the 1970s and 80s. There are many different (but related) notions of dimension but, nevertheless, many of the most popular coincide in this setting. In particular, the Hausdorff, box-counting, and packing dimensions of a Kleinian limit set are all given by the Poincare exponent of the group. I will discuss recent work concerning the Assouad dimension, which is not necessarily given by the Poincare exponent in the presence of parabolic points. No knowledge of dimension theory will be assumed.

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