A lower bound for the volume of random geodesic complements

Meeting-ID: 973 8400 7043
For password please contact Stephan Stadler (stadler@mpim-bonn.mpg.de).

By drilling out a filling geodesic from the unit tangent bundle of a closed hyperbolic surface one obtains a hyperbolic 3-manifold. In this talk we will study the volume of such complements. More precisely, we will see that for a „generic" filling geodesic there is a lower bound for the volume of its complement in terms of its hyperbolic length. This is joint work with Tommaso Cremaschi, Didac Martinez-Granado and Franco Vargas Pallete.