Pathways in Mathematics

The Eigenbook

Eigenvarieties, families of Galois representations, p-adic L-functions

Authors: Bellaïche, Joël

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  • Offers a comprehensive and solid introduction to the theory
  • Includes exercises and solutions
  • Presents a unique collection of knowledge on this theory not available elsewhere
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eBook 53,49 €
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  • ISBN 978-3-030-77263-5
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Hardcover 67,59 €
price for Spain (gross)
  • ISBN 978-3-030-77262-8
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About this Textbook

​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 newcomers to this field, the book provides a solid introduction to this highly active area of research. For experts, it will offer the convenience of collecting into one place foundational definitions and theorems with complete and self-contained proofs.

Written in an engaging and educational style, the book also includes exercises and provides their solution.

About the authors

Joël Bellaïche studied at the École Normale Supérieure of Paris and obtained his PhD at the university of Orsay. He is now professor at Brandeis University. His research interest are in Number Theory, Automorphic Forms, Galois Representations, L-functions, and Algebraic Geometry.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook 53,49 €
price for Spain (gross)
  • ISBN 978-3-030-77263-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 67,59 €
price for Spain (gross)
  • ISBN 978-3-030-77262-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
The Eigenbook
Book Subtitle
Eigenvarieties, families of Galois representations, p-adic L-functions
Authors
Series Title
Pathways in Mathematics
Copyright
2021
Publisher
Birkhäuser Basel
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-77263-5
DOI
10.1007/978-3-030-77263-5
Hardcover ISBN
978-3-030-77262-8
Series ISSN
2367-3451
Edition Number
1
Number of Pages
XI, 316
Number of Illustrations
15 b/w illustrations, 1 illustrations in colour
Topics