Arithmetic link complementsGeometric Group Theory Oberseminar

by Prof. Jean Raimbault (Aix-Marseille Université)

Wednesday Nov 12, 2025, 11:00 AM → 12:00 PM Europe/Berlin

Endenicher Allee 60/0-008 (Mathezentrum)

Two classical constructions of cusped hyperbolic 3--manifolds of finite volume are (some) link complements in the sphere, and quotients of hyperbolic space by congruence subgroups of Bianchi groups such as PSL₂(<b>Z</b>[i]). A conjecture of Baker and Reid posits that only finitely many manifolds occur as both. I will discuss this conjecture in relation with well-known and conjectured properties of arithmetic groups, and present a proof of the conjecture obtained in joint work with S. Kionke