Read p-Adic Automorphic Forms on Shimura Varieties (Springer Monographs in Mathematics)

p-Adic Automorphic Forms on Shimura Varieties (Springer Monographs in Mathematics)

Haruzo Hida

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Description: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 schemes2. p-adic deformation theory of automorphic forms on Shimura varieties3. A simple proof of irreducibility of the generalized Igusa tower over the Shimura varietyThe 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).We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with p-Adic Automorphic Forms on Shimura Varieties (Springer Monographs in Mathematics). To get started finding p-Adic Automorphic Forms on Shimura Varieties (Springer Monographs in Mathematics), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 1468493906

Description: 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 schemes2. p-adic deformation theory of automorphic forms on Shimura varieties3. A simple proof of irreducibility of the generalized Igusa tower over the Shimura varietyThe 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).We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with p-Adic Automorphic Forms on Shimura Varieties (Springer Monographs in Mathematics). To get started finding p-Adic Automorphic Forms on Shimura Varieties (Springer Monographs in Mathematics), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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p-Adic Automorphic Forms on Shimura Varieties (Springer Monographs in Mathematics)

p-Adic Automorphic Forms on Shimura Varieties (Springer Monographs in Mathematics)

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