The geometry and spectrum of random hyperbolic surfaces
Laura Monk (IRMA, Strasbourg)
Abstract: The main aim of this talk is to present geometric and spectral properties of typical hyperbolic surfaces. More precisely, I will:
- introduce a probabilistic model, first studied by Mirzakhani, which is a natural and convenient way to sample random hyperbolic surfaces
- describe the geometric properties of these random surfaces: diameter, injectivity radius, Cheeger constant, Benjamini-Schramm convergence...
- explain how one can deduce from this geometric information estimates on the number of eigenvalues of the Laplacian in an interval $[a,b]$, using the Selberg trace formula.
dynamical systems
Audience: researchers in the topic
Bremen Online Dynamics Seminar
Series comments: Talks are approx. 55 min plus discussion. Talks are not recorded.
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| Organizer: | Researchers from University of Bremen and Jacobs University Bremen |
| Curator: | Anke Pohl* |
| *contact for this listing |