Given a hyperbolic manifold, the spectrum of its Laplacian contains a great deal of information about its geometric structure. In this talk, I will present joint work with Will Hide, Bram Petri and Joe Thomas in which we use a model of random hyperbolic 3-manifolds to investigate the set of all possible spectral gaps -the first nonzero eigenvalues- of hyperbolic 3-manifolds of finite <a href="http://volume. 

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https://indico.math.cnrs.fr/event/15266/