Geodesic flow on the modular surface and Diophantine approximation

Date/heure
27 mai 2014
14:00 - 15:00

Oratrice ou orateur
S.G. Dani

Catégorie d'évènement
Séminaire de géométrie différentielle


Résumé

We discuss the interrelation between the asymptotic behavior of the trajectories of the geodesic flow associated with the modular surface and Diophantine properties of the points at infinity corresponding to the trajectory. Using the correspondence we give estimates for the number of solutions for certain quadratic inequalities in terms of the Hurwitz continued fraction expansions of the slopes of their linear factors.