Spectral Gaps on Large Hyperbolic Surfaces
arXiv:2601.13988
Abstract
In this expository paper, we review the history and the recent breakthroughs in the spectral theory of large volume hyperbolic surfaces. More precisely, we focus mostly on the investigation of the first non-trivial eigenvalue and its possible behaviour in the large volume regime.
20 pages, to appear in proceedings of ICM 2026