Abstract: We will discuss the surface subgroup conjecture which states that the fundamental group of any closed hyperbolic three manifold contains a surface subgroup. Its proof by Kahn and Markovic consists of three main steps: First of all, the construction of almost symmetric pairs of pants using the frame flow. Secondly, the assembly of an immersed surface. The mixing property of the frame flow allows for a great degree of freedom in this step. Finally one shows that, assuming certain bounds on the complex Fenchel-Nielsen-coordinates, a surface group representation into PSL(2;C) is faithful. We will outline the arguments of Kahn and Markovic for the first two steps and provide an alternative approach to the last.
Dienstag, den 30. April 2013 um 13.00 Uhr, in INF 288, HS 5 Dienstag, den 30. April 2013 at 13.00, in INF 288, HS 5
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. Anna Wienhard