The spectrum of hyperbolic surfaces. Translated from the French by Farrell Brumley

DOI10.1007/978-3-319-27666-3zbMath1339.11061OpenAlexW2294970425MaRDI QIDQ896541

Nicolas Bergeron

Publication date: 9 December 2015

Published in: Universitext (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-27666-3

zbMATH Keywords

automorphic formsSelberg trace formulaSelberg conjecturehyperbolic surfacesJacquet-Langlands correspondence

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Automorphic forms, one variable (11F12) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (8)

Random hyperbolic surfaces of large genus have first eigenvalues greater than \(\frac{3}{16}-\epsilon\) ⋮ Large degree covers and sharp resonances of hyperbolic surfaces ⋮ Near optimal spectral gaps for hyperbolic surfaces ⋮ Sharp eigenvalue estimates on degenerating surfaces ⋮ Short geodesic loops and \(L^p\) norms of eigenfunctions on large genus random surfaces ⋮ Koecher-Maass series associated to Hermitian modular forms of degree 2 and a characterization of cusp forms by the Hecke bound ⋮ Dynamics of geodesics, and Maass cusp forms ⋮ Delocalisation of eigenfunctions on large genus random surfaces

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