Closed geodesics and intersection numbers

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• Yann Chaubet (Cambridge)
• Wednesday 15 March 2023, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Oscar Randal-Williams.

On a closed negatively curved surface, Margulis gave the asymptotic growth of the number of closed geodesics of bounded length, when the bound goes to infinity. A natural question is whether one can obtain similar asymptotic results for geodesics satisfying some topological or geometric constraints. After a short state of the art on the question, I will present results on the growth of closed geodesics for which certain geometric intersection numbers (with a family of simple curves) are prescribed.

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

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