The Hyperbolic Plane, Isometries and Triangle Groups

Abstract: In this talk I will give a basic introduction to several models of the hyperbolic plane and the corresponding matrix representations of its isometries. My main goal will be to show how triangle groups can be represented in the different models and how to pass between them.

algebraic geometrycomplex variablesnumber theory

Audience: advanced learners

Trimester Programs on Triangle Groups, Belyi Uniformization and Modularity at BP, Pune, India.