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p-Adic Automorphic Forms on Shimura Varieties by Haruzo Hida (Paperback, 2011)

About this product

About this product

Product Information

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).

Product Identifiers

Publisher
Springer-Verlag New York Inc.
ISBN-13
9781441919236
eBay Product ID (ePID)
178161290

Product Key Features

Author
Haruzo Hida
Publication Name
P-Adic Automorphic Forms on Shimura Varieties
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2011
Type
Textbook
Number of Pages
390 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
617g

Additional Product Features

Title_Author
Haruzo Hida
Series Title
Springer Monographs in Mathematics
Country/Region of Manufacture
United States

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