Aarhus University Seal

The bottom of the spectrum of random hyperbolic surfaces

Nalini Anantharaman (Université de Strasbourg and Collège de France)
Monday 12 June 2023 16:15 Zoom
Mathematics Seminar

I will talk about the model of "random hyperbolic surfaces", picked according to the Weil-Petersson measure. I will be interested in the spectrum of the laplacian on these random objects, in the large volume asymptotic. I will in particular discuss the spectral gap, and will report on joint work with Laura Monk, aiming to show that the lowest eigenvalue of a random compact hyperbolic surfaces is typically greater than 1/4-ε.

To get an invitation to the zoom-meeting, please contact one of the organisers.

Organised by: SQM
Revised: 25.05.2023