|Geometric Structures on 3-manifolds|
|Topic:||NonLERFness of groups of certain mixed 3-manifolds and arithmetic hyperbolic $n$-manifolds|
|Affiliation:||University of California, Berkeley|
|Date:||Tuesday, May 3|
|Time/Room:||2:00pm - 3:00pm/S-101|
I will show that the groups of mixed 3-manifolds containing arithmetic hyperbolic pieces and the groups of certain noncompact arithmetic hyperbolic $n$-manifolds ($n > 3$) are not LERF. The main ingredient is a study of the set of virtual fibered boundary slopes for cusped hyperbolic 3-manifolds, and some specialty of Bianchi manifolds.