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Fakultät für Mathematik

Karlsruher Institut für Technologie
D-76128 Karlsruhe
Tel.: +49 721 608-43800

Degeneration of a wild Loch Ness monster

Referent: Dr. Anja Randecker
Ort: SR 3.060 (20.30)
Termin: 13.6.2017, 16:00 - 17:00 Uhr
Gastgeber: Prof. Dr. Frank Herrlich

Zusammenfassung

Translation surfaces are locally flat surfaces and come with an action of $SL(2,\mathbb{R})$. A certain one-parameter subgroup defines the Teichmüller flow in the moduli space of translation surfaces.

We study the orbit of this flow for infinite translation surfaces of a certain kind (for example when having a wild singularity and the topological type of a Loch Ness monster). A phenomenon that we could possibly observe is that the diameter of the surface in the Teichmüller orbit goes to zero. This behaviour is called degeneration.

This talk is based on work with Kasra Rafi and will explain an aspect of the project that did not fit in my talk at the Weihnachtsworkshop. (Of course, having attended or remembering the details of that talk is not at all required.)