Cyril Lecuire

Properness properties of the bending map

Abstract: In this talk, I will explain some links between the convergence of a sequence of geometrically finite hyperbolic metrics on the interior of a compact 3-manifold and the behaviour of the bending geodesic measured laminations of the convex cores of these metrics. I will emphasize on sequences of metrics such that the limit has more rank one cusps than the elements of the sequence