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...
Main Author: | |
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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