RESEARCH IN PAIRS
Limit Sets and Boundaries of Kleinian Groups
24 August – 4 September, 2015
24 August – 4 September, 2015
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A hyperbolic group has a natural topological object associated with it, called the boundary of the group. A Kleinian group has a natural topological object associated with it, its limit set, which embeds in the two-sphere. This project concerns the interplay between these two concepts. We are studying particular types of Kleinian groups, cylindrical Kleinian groups, where we can use the presence of essential cylinders to study this interaction. The aim of the project is to prove that in many cases, having boundary homoemorphic to the limit set of a type of Kleinian group implies that the original group is virtually Kleinian and of that type itself. |
Participants
Peter Haissinsky (Université de Toulouse) Sponsor  |