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Boundaries of hyperbolic groups

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  • UserBen Barrett (Cambridge)
  • ClockFriday 01 May 2015, 15:00-16:00
  • HouseMR13.

If you have a question about this talk, please contact Joe Waldron.

Geometric group theory is the study of the connections between algebraic properties of finitely generated groups and geometric and topological properties of the spaces on which such groups act. I will give an introduction to this subject before moving on to some applications. Time permitting, I will try to give an overview of some results linking connectivity properties of the Gromov boundary of a hyperbolic group G with the existence of graphs on which G can act with finite or virtually cyclic edge stabilisers. The existence of such an action is equivalent to the existence of a splitting of G as a special type of graph of groups.

This talk is part of the Junior Geometry Seminar series.

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