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Séminaire de Géométrie

Counting certain kinds of geodesics

Juan Souto (Rennes)

Salle 2

le 24 juin 2022 à 10:45

It is a classical result of Huber that the number of closed geodesics in a closed hyperbolic surface with length at most LL is asymptotic to eL/Le^L/L. I will discuss the asymptotic growth of the number of closed geodesics satisfying further topological conditions such as, for example, arising as the boundary of an immersed one-holed torus. This is ongoing work with Viveka Erlandsson.