University of Birmingham > Talks@bham > Topology and Dynamics seminar > The action of Fuchsian groups on complex projective space

The action of Fuchsian groups on complex projective space

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If you have a question about this talk, please contact Tony Samuel.

A Fuchsian group is a discrete subgroup of hyperbolic isometries. In this talk we will restrict our attention to the case of discrete subgroups of SO_0(2,1) that act on the hyperbolic plane with finite area quotient. This means the action on the hyperbolic plane is properly discontinuous and the limit set of the action is the whole ideal boundary. We may embed SO_0(2,1) into SL(3,C) in the obvious way and study its action on CP^2. In this talk I will explain the correct notion of limit set for such an action and I will describe the topology of this limit set and of its complement, the region of discontinuity. This is joint work with Angel Cano and Pepe Seade.

This talk is part of the Topology and Dynamics seminar series.

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