Profinite Properties of Finite-Volume Hyperbolic 3-Manifold Groups

Explore the profinite properties of finite-volume hyperbolic 3-manifold groups in this 59-minute conference talk by Yi Liu, presented at the Workshop on Groups around 3-Manifolds hosted by the Centre de recherches mathématiques (CRM). Delve into the concept of almost profinite rigidity and its further developments in the context of finite-volume hyperbolic 3-manifold groups. Examine key geometric quantities and properties, including volume, invariant trace fields, and arithmeticity, while considering their profinite invariance. Gain insights into this advanced mathematical topic, which bridges the fields of geometry, topology, and group theory.