Geometry and spectrum of random hyperbolic surfaces

Vortrag von Laura Monk

Datum: 15.03.21  Zeit: 15.00 - 16.15  Raum: ETH HG G 19.2

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 - 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.