Seminar
| Parent Program: | -- |
|---|---|
| Location: | 939 Evans Hall |
In this talk I'll discuss the renormalized volume of Krasnov and Schlenker, and show that, for acylindrical convex co-compact hyperbolic 3-manifolds, this function is convex at its unique critical point (the geodesic class).
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The topic this semester is representations of 3-manifold groups into SL_2 C. Topics will include:
- character varieties and curves of characters
- ideal points, R-tree actions, tree actions associated to ideal points of curves
- associating incompressible surfaces to tree actions and measured laminations to R-tree actions
- volumes of representations and Chern-Simons invariant
- Dehn invariants, the Bloch group, and extensions
- volume rigidity, via simplicial volume and the barycenter map
- the A-polynomial
Relevant survey papers can be found here: