Abelian covers of hyperbolic surfaces: equidistribution of spectra and infinite mixing asymptotics for horocycle flows.
Séminaire « Géométrie dynamique »
Salle visio M3
Orateur : Livio Flaminio (Université de Lille)
Exposé online au séminaire conjoint de système dynamiques,
Université KTH (Royal Institute of Technology, Stockholm, Suède) et Université de Lille.
Lieu : salle visio M3
Résumé: We establish an asymptotic expansion of the correlations for the horocycle flow on on Abelian covers of compact hyperbolic surfaces. We also prove that the spectra around $0$ of the Casimir operators on any increasing sequence of finite Abelian covers become equidistributed with respect to an absolutely continuous measure.
Exposé online au séminaire conjoint de système dynamiques,
Université KTH (Royal Institute of Technology, Stockholm, Suède) et Université de Lille.
Lieu : salle visio M3
Résumé: We establish an asymptotic expansion of the correlations for the horocycle flow on on Abelian covers of compact hyperbolic surfaces. We also prove that the spectra around $0$ of the Casimir operators on any increasing sequence of finite Abelian covers become equidistributed with respect to an absolutely continuous measure.
Partager sur X Partager sur Facebook