The Eigenbook Eigenvarieties, families of Galois representations, p-adic L-functions
This book discusses the p-adic modular forms, the eigencurve that parameterize them, and the p-adic L-functions one can associate to them. These theories and their generalizations to automorphic forms for group of higher ranks are of fundamental importance in number theory. For graduate students and...
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2021, 2021
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| Edition: | 1st ed. 2021 |
| Series: | Pathways in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- - Introduction
- Part I The ‘Eigen’ Construction
- Eigenalgebras
- Eigenvarieties
- Part II Modular Symbols and L-Functions
- Abstract Modular Symbols
- Classical Modular Symbols, Modular Forms, L-functions
- Rigid Analytic Modular Symbols and p-Adic L-functions
- Part III The Eigencurve and its p-Adic L-Functions
- The Eigencurve of Modular Symbols
- p-Adic L-Functions on the Eigencurve
- The Adjoint p-Adic L-Function and the Ramification Locus of the Eigencurve
- Solutions and Hints to Exercises