Asterisque Ser.: Spectre Automorphe des Variétés Hyperboliques et Applications Topologiques by Laurent Clozel and Nicolas Bergeron (2006, Trade Paperback)

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About this product

Product Identifiers

PublisherSociete Mathematique DE France
ISBN-102856291864
ISBN-139782856291863
eBay Product ID (ePID)57009933

Product Key Features

Number of Pages218 Pages
LanguageFrench
Publication NameSpectre Automorphe Des Variétés Hyperboliques Et Applications Topologiques
SubjectGeometry / Non-Euclidean, Algebra / General, Topology
Publication Year2006
TypeTextbook
Subject AreaMathematics
AuthorLaurent Clozel, Nicolas Bergeron
SeriesAsterisque Ser.
FormatTrade Paperback

Additional Product Features

LCCN2006-490989
Series Volume Number303
IllustratedYes
SynopsisThis book has two parts. The first is concerned with the differential form spectrum of congruence hyperbolic manifolds. The authors prove Selberg type theorems on the first eigenvalue of the laplacian on differential forms. The method of proof is representation-theoretic; the author hope the different chapters also serve as an introduction to the modern theory of automorphic forms and its application to spectral questions. The second part of the book has a more differential geometric flavor; a new kind of lifting of cohomology classes is proved. The main motivation of this work is given by Arthur's conjectures; these conjectures imply strong restrictions on the spectrum of arithmetic manifolds which, in turn, imply conjectural properties on the geometry of hyperbolic manifolds. Together with precise statements of these conjectures, this text gives proofs of weak forms of them in some particular cases.
LC Classification NumberQA353.A9B47 2005
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