Pure Maths Colloquium: How many elements does a surface group have?
4 November 2013 16:00 in CM221
The easy answer is infinite. We will see how to measure the size of such infinite groups by looking at their action on hyperbolic space. The surface groups grow exponentially, as least as a first approximation. I will try to explain better approximations and how they relate to (a) the spectral theory of the Laplace operator (b) counting problems in number theory.
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