The Spectrum of Hyperbolic Surfaces

The Spectrum of Hyperbolic Surfaces

by Nicolas Bergeron

Paperback(1st ed. 2016)

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Product Details

ISBN-13: 9783319276649
Publisher: Springer International Publishing
Publication date: 02/20/2016
Series: Universitext
Edition description: 1st ed. 2016
Pages: 370
Product dimensions: 6.10(w) x 9.25(h) x (d)

About the Author

Nicolas Bergeron is a Professor at Université Pierre et Marie Curie in Paris. His research interests are in geometry and automorphic forms, in particular the topology and spectral geometry of locally symmetric spaces.

Table of Contents

Preface.- Introduction.- Arithmetic Hyperbolic Surfaces.- Spectral Decomposition.- Maass Forms.- The Trace Formula.- Multiplicity of lambda1 and the Selberg Conjecture.- L-Functions and the Selberg Conjecture.- Jacquet-Langlands Correspondence.- Arithmetic Quantum Unique Ergodicity.- Appendices.- References.- Index of notation.- Index.- Index of names.

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