Seminar
| Parent Program: | -- |
|---|---|
| Location: | 939 Evans Hall |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
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: