Topology & Geometric Group Theory Seminar

Fall 2011

1:30 – 2:30, Malott 203

Tuesday, October 18

Christian Zickert, University of Maryland

Parametrizing representations of 3-manifold groups

We give an efficient parametrization of the set of boundary-unipotent representations of a 3-manifold group into SL(n,C), and use it to give a concrete formula for the Chern-Simons invariant. Numerical computations suggest that the imaginary part of the Chern-Simons invariant is always an integral linear combination of volumes of hyperbolic 3-manifolds. The talk will mostly deal with the case n=2, and Thurston's gluing equations.

←Back to the seminar home page