On the congruence subgroup property for mapping class groups of surfaces

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• Henry Wilton, Cambridge
• Friday 14 February 2025, 13:45-14:45
• MR13.

If you have a question about this talk, please contact Macarena Arenas.

I will relate two notorious open questions. The first asks whether every hyperbolic group is residually finite. The second, the congruence subgroup property, relates the finite-index subgroups of mapping class groups of surfaces to the topology of the underlying surface. I will explain why, if every hyperbolic group is residually finite, then mapping class groups enjoy the congruence subgroup property. I will then give some applications to the profinite rigidity of hyperbolic 3-manifolds.

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

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