Spectral Gaps on Large Hyperbolic Surfaces
Spectral Theory
2026-01-21 v1
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.
Cite
@article{arxiv.2601.13988,
title = {Spectral Gaps on Large Hyperbolic Surfaces},
author = {Laura Monk and Frédéric Naud},
journal= {arXiv preprint arXiv:2601.13988},
year = {2026}
}
Comments
20 pages, to appear in proceedings of ICM 2026