## 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.

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