Automorphic Forms and Shimura Varieties of Pgsp(2)

Yuval Z Flicker

ISBN 10: 9812564039 / ISBN 13: 9789812564030

Published by World Scientific Publishing Company Aug 2005, 2005

Neuware - The area of automorphic representations is a natural continuation of studies in the 19th and 20th centuries on number theory and modular forms. A guiding principle is a reciprocity law relating infinite dimensional automorphic representations with finite dimensional Galois representations. Simple relations on the Galois side reflect deep relations on the automorphic side, called liftings. This in-depth book concentrates on an initial example of the lifting, from a rank 2 symplectic group PGSp(2) to PGL(4), reflecting the natural embedding of Sp(2, C) in SL(4, C). It develops the technique of comparing twisted and stabilized trace formulae. It gives a detailed classification of the automorphic and admissible representation of the rank two symplectic PGSp(2) by means of a definition of packets and quasi-packets, using character relations and trace formulae identities. It also shows multiplicity one and rigidity theorems for the discrete spectrum. Applications include the study of the d. Seller Inventory # 9789812564030

Synopsis:

The area of automorphic representations is a natural continuation of studies in the 19th and 20th centuries on number theory and modular forms. A guiding principle is a reciprocity law relating infinite dimensional automorphic representations with finite dimensional Galois representations. Simple relations on the Galois side reflect deep relations on the automorphic side, called "liftings.' This in-depth book concentrates on an initial example of the lifting, from a rank 2 symplectic group PGSp(2) to PGL(4), reflecting the natural embedding of Sp(2,

Review: .,." lot of conjectures and valuable concrete material to think and mediate about."

Bibliographic Details

Title: Automorphic Forms and Shimura Varieties of ...
Publisher: World Scientific Publishing Company Aug 2005
Publication Date: 2005
Binding: Buch
Condition: Neu