Detecting splittings of hyperbolic groups

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• Benjamin Barrett (Cambridge)
• Wednesday 09 May 2018, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Oscar Randal-Williams.

When studying a group, it is often useful to try to cut it up into simpler pieces. Sometimes this can be done in an canonical way analogous to the JSJ decomposition of a 3-manifold, in which the collection of tori along which the manifold is cut is unique up to isotopy. It is a theorem of Brian Bowditch that if the group acts nicely on a metric space with a negative curvature property then a canonical decomposition can be read directly from the large-scale geometry of that space. In this talk I shall describe an algorithmic consequence of this relationship between the large-scale geometry of the group and is algebraic decomposition.

This talk is part of the Differential Geometry and Topology Seminar series.

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