Profinite rigidity and hyperbolic triangle groups

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• Martin Bridson (Oxford)
• Friday 15 February 2019, 13:45-14:45
• CMS, MR13.

If you have a question about this talk, please contact Richard Webb.

A finitely generated group G is profinitely rigid in the absolute sense if the only finitely generated, residually finite group that has the same list of finite quotients as G is G itself. The first examples of full-sized groups that are rigid in this sense were constructed in 2017—they are fundamental groups of 3-dimensional hyperbolic orbifolds with particular arithmetic properties. In this talk I shall explain how that construction can be adapted to prove that certain cocompact Fuchsian groups are profinitely rigid in the absolute sense. This is joint work with Reid, McReynolds and Spitler.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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