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Hausdorff dimension and Kleinian groups

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Speaker: 
Beibei Liu
Zugehörigkeit: 
University of California, Davis/MPIM
Datum: 
Die, 2020-01-07 14:00 - 15:00
Location: 
MPIM Lecture Hall

Kleinian groups are discrete isometry subgroups of the 2- or 3-dimensional hyperbolic spaces. In this talk, we will investigate the Hausdorff dimension of the limit set  which consists of the accumulation points of one orbit of the group action. The argument heavily involves the topology and geometry of hyperbolic 2- or 3-manifolds. 

 

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