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Compactifications Of Pel-type Shimura Varieties And Kuga Families With Ordinary Loci, Lan Kai-wen


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Автор: Lan Kai-wen
Название:  Compactifications Of Pel-type Shimura Varieties And Kuga Families With Ordinary Loci
ISBN: 9789813207325
Издательство: World Scientific Publishing
Классификация:
ISBN-10: 9813207329
Обложка/Формат: Hardcover
Страницы: 580
Вес: 1.16 кг.
Дата издания: 11.09.2017
Серия: Mathematics
Язык: English
Размер: 170 x 244 x 33
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Number theory, MATHEMATICS / Algebra / Abstract,MATHEMATICS / Geometry / Algebraic,MATHEMATICS / Number Theory
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Поставляется из: Англии
Описание:

This book is a comprehensive treatise on the partial toroidal and minimal compactifications of the ordinary loci of PEL-type Shimura varieties and Kuga families, and on the canonical and subcanonical extensions of automorphic bundles. The results in this book serve as the logical foundation of several recent developments in the theory of p-adic automorphic forms; and of the authors work with Harris, Taylor, and Thorne on the construction of Galois representations without any polarizability conditions, which is a major breakthrough in the Langlands program.

This book is important for active researchers and graduate students who need to understand the above-mentioned recent works, and is written with such users of the theory in mind, providing plenty of explanations and background materials, which should be helpful for people working in similar areas. It also contains precise internal and external references, and an index of notation and terminologies. These are useful for readers to quickly locate materials they need.




P-adic automorphic forms on shimura varieties

Автор: Hida, Haruzo
Название: P-adic automorphic forms on shimura varieties
ISBN: 1441919236 ISBN-13(EAN): 9781441919236
Издательство: Springer
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Цена: 23058.00 р.
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Описание: 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.


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