S.Schleimer - An introduction to veering triangulations
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Descriptif
Singular euclidean structures on surfaces are a key tool in the study of the mapping class group,of Teichmüller space, and of kleinian three-manifolds. François Guéritaud, while studying work ofIan Agol, gave a powerful technique for turning a singular euclidean structure (on a surface) into atriangulation (of a three-manifold). We will give an exposition of some of this work from the pointof view of Delaunay triangulations for theL∞-metric. We will review the definitions in a relaxedfashion, discuss the technique, and then present applications to the study of strata in the space ofsingular euclidean structures. If time permits, we will also discuss the naturally occurring algorithmicquestions.
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