Para receber por e-mail novas publicações de Seminário de Teoria Ergódica, Clique Aqui!

Seminários do IMPA

Teoria Ergódica

Título
Dynamics of the geodesic flow on higher genius surfaces without conjugate points
Expositor
Khadim War

IMPA
Data
Quinta-feira, 8 de agosto de 2019, 15:30
Local
Sala 228
Resumo

This is a series of Lectures where we study the dynamics ofthe geodesic flow on higher genius surfaces without conjugate points. The aim is to first give the geometric construction on the measure of maximal entropy via Patterson-Sullivan measures. Use the properties of the construction to prove that the flow is mixing and give an exact asymptotic growth rate of the closed geodesics. This generalizes the well Margulus estimate from negative curvature to no conjugate points.