Séminaire à venir - Décembre 2025
Le séminaire aura lieu un mercredi par mois de 14h à 15h à l'Institut Henri Poincaré à Paris. Pour télécharger l'affiche du mois: decembre.pdf.
- 03/12/2025 - Joe Thomas (Durham University)
salle Olga Ladyjenskaïa (ex-salle 01)
Titre: Spectral
gap for random hyperbolic surfaces
Resumé: The
first non-zero eigenvalue, or spectral gap, of the Laplacian on a
closed hyperbolic surface encodes important geometric and dynamical
information about a surface. In this talk, I will discuss the typical
size of the spectral gap for a random surface with large genus sampled
with respect to the Weil-Petersson probability measure. In particular,
I will explain joint work with Will Hide and Davide Macera where we
obtain a spectral gap with a polynomial error rate. Our result uses a
fusion of the polynomial method used in recent breakthroughs on the
strong convergence of group representations with the trace formula for
hyperbolic surfaces.