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Other titles in the Cambridge Tracts in Mathematics series:
Cambridge Tracts in Mathematics #113: Spectral Decomposition and Eisenstein Seriesby Colette Moeglin
Synopses & ReviewsPublisher Comments:The decomposition of the space L2 (G(Q)\G(A)), where G is a reductive group defined over Q and A is the ring of adeles of Q, is a deep problem at the intersection of number and group theory. Langlands reduced this decomposition to that of the (smaller) spaces of cuspidal automorphic forms for certain subgroups of G. This book describes this proof in detail. The starting point is the theory of automorphic forms, which can also serve as a first step toward understanding the ArthurSelberg trace formula. To make the book reasonably selfcontained, the authors also provide essential background in subjects such as: automorphic forms; Eisenstein series; Eisenstein pseudoseries, and their properties. It is thus also an introduction, suitable for graduate students, to the theory of automorphic forms, the first written using contemporary terminology.
Synopsis:This book describes some of Langlandsâ€™work at the intersection of number theory and group theory. To make it reasonably selfcontained, the authors also provide essential background in subjects such as: automorphic forms; Eisenstein series; Eisenstein pseudoseries and their properties. It is thus also an introduction, suitable for graduate students, to the theory of automorphic forms, the first written using contemporary terminology. It will be welcomed by number theorists, representation theorists and all whose work involves the Langlands program.
Synopsis:This book describes some of Langlands' work at the intersection of number theory and group theory. To make it reasonably selfcontained, the authors also provide essential background in subjects such as: automorphic forms; Eisenstein series; Eisenstein pseudoseries and their properties. It is thus also an introduction, suitable for graduate students, to the theory of automorphic forms, the first written using contemporary terminology. It will be welcomed by number theorists, representation theorists and all whose work involves the Langlands program.
Synopsis:A selfcontained introduction to automorphic forms, and Eisenstein series and pseudoseries, proving some of Langlands? work at the intersection of number theory and group theory.
Description:Includes bibliographical references (p. [334]336) and index.
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