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P-Adic Automorphic Forms on Shimura Varieties - Haruzo Hida
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P-Adic Automorphic Forms on Shimura Varieties - livre d'occasion

2000, ISBN: 0387207112

ID: 13525507

In the early years of the 1980s, while I was visiting the Institute for Ad vanced Study (lAS) at Princeton as a postdoctoral member, I got a fascinating view, studying congruence modulo a prime among elliptic modular forms, that an automorphic L-function of a given algebraic group G should have a canon ical p-adic counterpart of several variables. I immediately decided to find out the reason behind this phenomenon and to develop the theory of ordinary p-adic automorphic forms, allocating 10 to 15 years from that point, putting off the intended arithmetic study of Shimura varieties via L-functions and Eisenstein series (for which I visited lAS). Although it took more than 15 years, we now know (at least conjecturally) the exact number of variables for a given G, and it has been shown that this is a universal phenomenon valid for holomorphic automorphic forms on Shimura varieties and also for more general (nonholomorphic) cohomological automorphic forms on automorphic manifolds (in a markedly different way). When I was asked to give a series of lectures in the Automorphic Semester in the year 2000 at the Emile Borel Center (Centre Emile Borel) at the Poincare Institute in Paris, I chose to give an exposition of the theory of p-adic (ordinary) families of such automorphic forms p-adic analytically de pending on their weights, and this book is the outgrowth of the lectures given there. math,mathematics,science and math Mathematics, Springer

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P-Adic Automorphic Forms on Shimura Varieties (Springer Monographs in Mathematics) - Haruzo Hida
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Haruzo Hida:
P-Adic Automorphic Forms on Shimura Varieties (Springer Monographs in Mathematics) - edition reliée, livre de poche

2004, ISBN: 9780387207117

ID: 14225229676

Hardcover, Neubuch, Buy with confidence. Excellent Customer Service & Return policy. Ships Fast. 24*7 Customer Service., [PU: Springer]

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P-Adic Automorphic Forms on Shimura Varieties (Springer Monographs in Mathematics) - Hida, Haruzo
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Hida, Haruzo:
P-Adic Automorphic Forms on Shimura Varieties (Springer Monographs in Mathematics) - edition reliée, livre de poche

2004, ISBN: 9780387207117

ID: 41371

390 Seiten Gebundene Ausgabe 2004. Neuwertiges Exemplar. Versand D: 3,00 EUR Mathematik, [PU:Springer, Berlin,]

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p-Adic Automorphic Forms on Shimura Varieties - Haruzo Hida
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Haruzo Hida:
p-Adic Automorphic Forms on Shimura Varieties - edition reliée, livre de poche

2004, ISBN: 9780387207117

ID: 5826936

2004 ed., Hardcover, Buch, [PU: Springer-Verlag New York Inc.]

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p-Adic Automorphic Forms on Shimura Varieties - Haruzo Hida
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Haruzo Hida:
p-Adic Automorphic Forms on Shimura Varieties - edition reliée, livre de poche

2004, ISBN: 9780387207117

ID: 5826936

Hardcover, Buch, [PU: Springer-Verlag New York Inc.]

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Détails sur le livre
P-Adic Automorphic Forms on Shimura Varieties

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).

Informations détaillées sur le livre - P-Adic Automorphic Forms on Shimura Varieties


EAN (ISBN-13): 9780387207117
ISBN (ISBN-10): 0387207112
Version reliée
Date de parution: 2004
Editeur: Springer-Verlag GmbH
390 Pages
Poids: 0,689 kg
Langue: eng/Englisch

Livre dans la base de données depuis 04.06.2007 20:05:21
Livre trouvé récemment le 01.12.2017 23:39:10
ISBN/EAN: 9780387207117

ISBN - Autres types d'écriture:
0-387-20711-2, 978-0-387-20711-7


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