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Automorphic representations of low rank groups /
The area of automorphic representations is a natural continuation of studies in number theory and modular forms. A guiding principle is a reciprocity law relating the infinite dimensional automorphic representations with finite dimensional Galois representations. Simple relations on the Galois side...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; Hackensack, N.J. :
World Scientific,
©2006.
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | The area of automorphic representations is a natural continuation of studies in number theory and modular forms. A guiding principle is a reciprocity law relating the 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 book concentrates on two initial examples: the symmetric square lifting from SL(2) to PGL(3), reflecting the 3-dimensional representation of PGL(2) in SL(3); and basechange from the unitary group U(3, E/F) to GL(3, E), [E : F] = |
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| Notas: | Pt. 3. Zeta functions of Shimura varieties of U(3) introduction. 1. Statement of results. 2. The zeta function. I. Preliminaries. I.1. The Shumira variety. I.2. Decomposition of cohomology. I.3. Galois representations. II. Automorphic representations. II. 1. Stabilization and the test function. II. 2. Functorial overview of basechange for U(3). II. 3. Local results on basechange for U(3). II. 4. Global results on basechange for U(3). II. 5. Spectral side of the stable trace formula. II. 6. Proper endoscopic group. III. Local terms. III. 1. The reflex field. III. 2. The representation of the dual group. III. 3. Local terms at p. III. 4. The eigenvalues at p. III. 5. Terms at p for the endoscopic group. IV. Real representations. IV. 1. Representations of the real GL(2). IV. 2. Representations of U(2,l). IV. 3. Finite-dimensional representations. V. Galois representations. V.1. Stable case. V.2. Unstable case. V.3. Nontempered case. |
| Descripción Física: | 1 online resource |
| Bibliografía: | Includes bibliographical references (pages 473-481) and index. |
| ISBN: | 9812773622 9789812773623 9812568034 9789812568038 |