## Topology & Geometric Group Theory Seminar

## Fall 2008

### 1:30 – 2:30, Malott 406

Thursday, October 9

**
Gabriela Schmithüsen**, Universität Karlsruhe

*Origamis in outer space*

Origamis are purely combinatorial objects which define finite degree
coverings of the torus together with a natural translation structure.
Such a square tiled translation surface defines an embedding of the
Poincare-upper half plane into Teichmüller space T_{g,n}; the
image in moduli space M_{g,n} is a Teichmüller curve.
They have been intensively studied in the last years. We define a
similar construction in Culler–Vogtmann outer space and use it
in order to obtain new insights into the corresponding
Teichmüller curves.

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