Qualitative Counting Closed Geodesics

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• Bastien Karlhofer (Aberdeen)
• Friday 23 November 2018, 15:00-16:00
• MR13.

If you have a question about this talk, please contact Ben Morley.

Classically, counting closed geodesics is done in form of estimates of the number of geodesics of a given length. In this talk we want to count differently, namely by measuring how big the subgroup of the fundamental group generated by closed geodesics is, and how fast it is generated. We will see that this word norm defined by closed geodesics on its generated subgroup has infinite diameter on certain negatively curved Riemannian manifolds using methods arising from geometric group theory.

This talk is part of the Junior Geometry Seminar series.

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