Essays about: "fuchsian group"

Found 2 essays containing the words fuchsian group.

  1. 1. Modular forms for triangle groups

    University essay from Karlstads universitet/Institutionen för matematik och datavetenskap (from 2013)

    Author : Elisabet Edvardsson; [2017]
    Keywords : modular form; triangle group; Hauptmodul; algebra of modular forms; the Ramanujan equations;

    Abstract : Modular forms are important in different areas of mathematics and theoretical physics. The theory is well known for the modular group PSL(2,Z), but is also of interest for other Fuchsian groups. In this thesis we will be interested in triangle groups with a cusp. READ MORE

  3. 2. On Poicarés Uniformization Theorem

    University essay from Matematiska institutionen

    Author : Gabriel Bartolini; [2006]
    Keywords : Hyperbolic plane; Fuchsian group; Riemann surface; uniformization; fundamental domain; Poincar es theorem;

    Abstract : A compact Riemann surface can be realized as a quotient space $\mathcal{U}/\Gamma$, where $\mathcal{U}$ is the sphere $\Sigma$, the euclidian plane $\mathbb{C}$ or the hyperbolic plane $\mathcal{H}$ and $\Gamma$ is a discrete group of automorphisms. This induces a covering $p:\mathcal{U}\rightarrow\mathcal{U}/\Gamma$. READ MORE