The Eigenbook: Eigenvarieties, Families of Galois Representations, P-Adic L-Functions

By Jol Bellache

- 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.

• Format: Hardcover
• Language: English
• ISBN: 3030772624
• ISBN13: 9783030772628
• Release Date: August 2021
• Publisher: Birkhauser
• Length: 316 Pages
• Weight: 1.41 lbs.
• Dimensions: 0.8" x 6.1" x 9.2"