Lecture I: Geometry and dynamics on hyperbolic surfaces

Lecture I: Geometry and dynamics on hyperbolic surfaces

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Maryam Mirzakhani, Stanford University
McDonnell Hall A02

The first lecture will give some background on the geometry and dynamics on hyperbolic surfaces. I will give a brief overview of Teichm\"uller theory and properties of the mapping class groups and the space of geodesic currents. I will discuss some natural actions of the mapping class group. I will formulate some basic questions and explain some of the ideas used for studying these objects."