Event time:

Monday, October 15, 2018 - 5:30pm

Location:

LOM 205

Speaker:

Yongquan Zhang

Speaker affiliation:

Harvard

Event description:

One way to obtain a Kleinian group is to consider the group generated by reflections in the faces of a hyperbolic polyhedron with dihedral angles submultiples of \pi. Andreevâ€™s theorem guarantees the existence of hyperbolic polyhedra with non-obtuse dihedral angles satisfying certain combinatorial conditions. In this talk, I will construct a one dimensional family of hyperbolic polyhedra with the help of Andreevâ€™s theorem, so that the Kleinian groups generated by reflections in some of the faces realize a one dimensional deformation of a convex cocompact acylindrical hyperbolic 3-manifold.