p-Adic Automorphic Forms on Shimura Varieties
Language: English
Published by Springer, Springer Okt 2011, 2011
- Softcover
- New
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This item is printed on demand - Print on Demand Titel. Neuware -The book starts with a detailed study of elliptic and Hilbert modular forms and reaches to the forefront of research. The area covered in this book is now a focal point of research worldwide with many far-reaching applications that have led to solutions of longstanding problems and conjectures. Specifically, the use of p-adic elliptic and Hilbert modular forms have proven essential in recent breakthroughs in number theory.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 404 pp. Englisch.
Seller Inventory # 9781441919236
- Title
- p-Adic Automorphic Forms on Shimura Varieties
- Author
- Haruzo Hida
- Publisher
- Springer, Springer Okt 2011
- Publication year
- 2011
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 1441919236
- ISBN 13
- 9781441919236
- Item weight
- 610 grams
- Dimensions
- 235x155x22 mm
- Series
- Book 25 of 187: Springer Monographs in Mathematics
The book starts with a detailed study of elliptic and Hilbert modular forms and reaches to the forefront of research. The area covered in this book is now a focal point of research worldwide with many far-reaching applications that have led to solutions of longstanding problems and conjectures. Specifically, the use of p-adic elliptic and Hilbert modular forms have proven essential in recent breakthroughs in number theory.
"Synopsis" may belong to another edition of this title.
From the Back Cover
This book covers the following three topics in a manner accessible to graduate students who have an understanding of algebraic number theory and scheme theoretic algebraic geometry:
1. An elementary construction of Shimura varieties as moduli of abelian schemes.
2. p-adic deformation theory of automorphic forms on Shimura varieties.
3. A simple proof of irreducibility of the generalized Igusa tower over the Shimura variety.
The book starts with a detailed study of elliptic and Hilbert modular forms and reaches to the forefront of research of Shimura varieties associated with general classical groups. The method of constructing p-adic analytic families and the proof of irreducibility was recently discovered by the author. The area covered in this book is now a focal point of research worldwide with many far-reaching applications that have led to solutions of longstanding problems and conjectures. Specifically, the use of p-adic elliptic and Hilbert modular forms have proven essential in recent breakthroughs in number theory (for example, the proof of Fermat's Last Theorem and the Shimura-Taniyama conjecture by A. Wiles and others).
Haruzo Hida is Professor of Mathematics at University of California, Los Angeles. His previous books include Modular Forms and Galois Cohomology (Cambridge University Press 2000) and Geometric Modular Forms and Elliptic Curves (World Scientific Publishing Company 2000).
"About the title" may belong to another edition of this title.
buchversandmimpf2000
Emtmannsberg, BAYE, Germany
AbeBooks seller since January 23, 2017
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