The action of Fuchsian groups on complex projective space

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• Prof. John Parker (University of Durham)
• Thursday 07 February 2019, 13:00-14:00
• Lecture Theatre C, Watson Building.

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 SO₀(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 SO₀(2,1) into SL(3,ℂ) in the obvious way and study its action on CP². 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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• Lecture Theatre C, Watson Building
• School of Mathematics Events
• Topology and Dynamics Seminar

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