Séminaires : Séminaire d'Analyse et Géométrie

Equipe(s) :
Responsables :O. Biquard, A. Deruelle, E. Di Nezza, I. Itenberg, X. Ma
Email des responsables : {olivier.biquard, alix.deruelle, eleonora.dinezza, ilia.itenberg, xiaonan.ma}@imj-prg.fr
Salle : 15–25.502
Adresse :Jussieu

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Orateur(s) Juan Souto - Rennes,
Titre Counting geodesics in hyperbolic surfaces
Horaire14:00 à 15:00
RésumeLet S be a hyperbolic surface of genus g at least 2 with n cusps. It is well-known that the cardinality of the set of all geodesics in S of length at most T grows exponentially when T tends to infinity. On the other hand, the number N(T, c) of geodesics of length at most T which are in the mapping class group orbit of a simple closed geodesic c grows polynomially. In fact, if c is a simple closed curve then Mirzakhani proved that the limit of N(T, c)/T6g−6+2n exists and is positive. In this talk I will describe some related results for non-simple closed curves. This is joint work with Viveka Erlandsson.