Orateur(s)  Juan Souto  Rennes,

Titre  Counting geodesics in hyperbolic surfaces 
Date  14/04/2015 
Horaire  14:00 à 15:00 

Résume  Let S be a hyperbolic surface of genus g at least 2 with n cusps. It is wellknown 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 nonsimple closed curves. This is joint work with Viveka Erlandsson. 
Salle  Barre 1525, 5ème étage, salle 02 
Adresse  Campus Pierre et Marie Curie 