Train tracks, curves and efficient position

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• Ronja Kuhne (Warwick)
• Friday 23 June 2017, 15:00-16:00
• MR13.

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Train tracks were introduced by Thurston in the late 1970s as a combinatorial tool for studying surface diffeomorphisms. After giving relevant background material and elaborating on the interplay between train tracks and curves on surfaces, I am going to define the notion of efficient position of curves with respect to train tracks. Efficient position can be understood as some kind of general position for curves on surfaces with respect to train tracks and I intend to address the question of its existence as well as discuss possible applications.

This talk is part of the Junior Geometry Seminar series.

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