Fuchsian Groups and Siegel´s Theorem
Specialeforsvar ved Vasileia Vagena
Titel: Fuchsian Groups and Siegel’s Theorem
Abstract: We begin this thesis presenting the basic features of two models of hyperbolic geometry, the upper half plane H and the Poincaré disc D. We study Fuchsian groups and explore some of their most important properties. Introducing the notion of fundamental region of a Fuchsian group, we construct a special kind of it, known as the Dirichlet region. This is an essential tool for our main result, the Siegel’s theorem for Fuchsian groups.
Vejleder: Jasmin Matz
Censor: Simon Kristensen, Aarhus Universitet