Seminar

3-Manifold Seminar April 28, 2015 (02:00 PM PDT - 03:30 PM PDT)

Parent Program:	--
Location:	939 Evans Hall

Speaker(s) Ian Agol (University of California, Berkeley)

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Keywords and Mathematics Subject Classification (MSC)

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Abstract/Media

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:

https://www.dropbox.com/sh/z8k8tb4bkiuswcg/AAAVZTLxHM501sohvZGkbOjBa?dl=0

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