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Home » 3-Manifold Seminar: Local convexity of the renormalized volume for acylindrical convex co-compact hyperbolic 3-manifolds at the geodesic class

Seminar

3-Manifold Seminar: Local convexity of the renormalized volume for acylindrical convex co-compact hyperbolic 3-manifolds at the geodesic class April 07, 2015 (02:00 PM PDT - 03:30 PM PDT)
Parent Program: --
Location: 939 Evans Hall
Speaker(s) Ian Agol (University of California, Berkeley), Franco Vargas Pallete (University of California, Berkeley)
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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 

 

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