Apollonian random manifolds and their spectral gaps
Apollonian random manifolds and their spectral gaps
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Anna Roig-Sanchis, Universit茅 C么te d'Azur
Fine Hall 314
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 study听the spectral gaps -the first nonzero eigenvalue- of two models of random hyperbolic 3-orbifolds related to the Apollonian group. If time permits, I will also mention how this can be used to investigate the bass note听spectrum of the set of hyperbolic 3-orbifolds.