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Profinite rigidity and almost rigidity in 3-manifolds

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OGGW01 - Discrete and profinite groups

In this talk, I will discuss the almost profinite rigidity among the fundamental group of compact orientable 3-manifolds with empty or toral boundary. I will also introduce some examples of cusped hyperbolic and mixed 3-manifolds whose fundamental groups are profinitely rigid among all 3-manifold groups. The key ingredient is a property called “peripheral regularity” for profinite isomorphisms between cusped hyperbolic 3-manifolds.

This talk is part of the Isaac Newton Institute Seminar Series series.

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