Jana Göken | Geodesic Coding on Quotient Surfaces for Finitely Generated Free Fuchsian Groups

Startdatum: 08.12.2022 - 14:15
Enddatum: 08.12.2022 - 15:45
Adresse: MZH 4140
Preis: 0€

Geodesics on quotient surfaces of Fuchsian groups can be represented via bi-infinite sequences in subshift spaces, either by boundary expansions or by recording the successive sides of the fundamental region cut by the geodesic. We will focus on the so called "Bowen-Series expansion" in the special case of finitely generated free Fuchsian groups. Every non-uniform lattice contains such a finitely generated free subgroup whose Dirichlet region has a very special structure so that the Bowen-Series expansion reduces to a rather simple case.