Geodesic planes in hyperbolic 3-manifolds and arithmeticity

Vortrag von Prof. Dr. Amir Mohammadi

Datum: 28.10.19  Zeit: 14.00 - 15.00  Raum: ETH HG G 43

Let M be a hyperbolic 3-manifold, a geodesic plane in M is a geodesic immersion of the hyperbolic plane into M. It is quite rare for a totally geodesic plane to be a closed subset of M; indeed, it was proved recently that if M contains infinitely many closed geodesic planes, then M is arithmetic, i.e., the fundamental group of M is an arithmetic lattice in PGL(2, C). We will discuss a proof in this talk. This is based on a joint work with G. Margulis.