Room P3.10, Mathematics Building

Pedro J. Freitas, Universidade de Lisboa
The dynamics of the Siegel Upper Half Plane

We will present the classification of the isometries of the hyperbolic plane, and the definition of some concepts like limis sets. We'll then generalize some of these definitions results for the action of the symplectic group on the Siegel upper half plane - we'll define both the group and the half plane, and present some basic results about them. We'll also mention a few different ways of compactifying the half plane.