Teichmüller curves in genus three and unlikely intersections

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• Martin Moeller, MPI & Frankfurt
• Wednesday 25 February 2015, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

The group SL(2,R) acts on the moduli space of flat surfaces and after the solution of the Ratner type question by Eskin-Mirzakhani-Mohammadi the classification problem for orbit closures is the main open question For almost a decade no new examples of one-dimensional orbit closures, i.e., Teichmüller curves, have been found.

In this talk we present various techniques to rule out the existence of Teichmüller curves. Besides geometric arguments, we use one number theoretic result: We extend the theory of unlikely intersections from the multiplicative group G_m to products with G_a factors.

This talk is part of the Differential Geometry and Topology Seminar series.

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