Dear colleagues,
We are happy to announce the following online talk:
Speaker: *Laura Monk* (Max-Planck-Institut für Mathematik, Bonn)
Title: The spectral gap of random compact hyperbolic surfaces
*Abstract*: The focus of this talk will be the first non-zero eigenvalue of the Laplacian on a compact hyperbolic surface, also called its spectral gap. Similarly to expanders for graphs, surfaces with a large spectral gap are well-connected, and have good mixing properties. In spite of significant effort in the last 35 years, we have failed to construct examples of large surfaces with an optimal spectral gap. In this talk, *based on joint work with Nalini Anantharaman*, I will explain how a new probabilistic approach has led to great progress in this question in recent years. Rather than trying to exhibit examples, we now aim at showing that random surfaces have a large spectral gap with probability close to one. This requires us to have a good model to sample random surfaces, and I will briefly introduce two such models.
Date and time: Monday *November 22, 5:30pm-6:30pm* (Rome time zone)
Zoom link: https://us02web.zoom.us/j/2940008616
This is a talk of the *(PMS)^2: Pavia-Milano Seminar series on Probability & Mathematical Statistics *organized jointly by the universities Milano-Bicocca, Pavia, Milano-Politecnico and Milano-Statale.
Participation is free and welcome! (though limited to 100 participants for technical reasons).
Best regards The organizers (Mario Maurelli, Carlo Orrieri, Maurizia Rossi, Margherita Zanella)
- - - Maurizia Rossi
Dipartimento di Matematica e Applicazioni Università di Milano-Bicocca