Arithmetic of p-adic modular forms /
The central topic of this research monograph is the relation between p-adic modular forms and p-adic Galois representations, and in particular the theory of deformations of Galois representations recently introduced by Mazur. The classical theory of modular forms is assumed known to the reader, but...
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| Format: | eBook |
| Language: | English |
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Berlin ; New York :
Springer-Verlag,
[1988]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1304. |
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- p-adic Modular Forms: Level Structures and Trivializations. p-adic Modular Forms with Growth Conditions. Generalized p-adic Modular Functions
- Hecke and U Operators: Hecke Operators. The Frobenius Operator. The U Operator. Appendix: Hida's Theory of the Ordinary Part
- Galois Representations: Duality Theorems. Families of Modular Forms. Changing the Level. Deformations of Residual Eigenforms. Deformations of Galois Representations. The Modular Deformation Space. Further Questions.