Shimura Varieties

Shimura Varieties

Author: Thomas Haines

Publisher: Cambridge University Press

Published: 2020-02-20

Total Pages: 341

ISBN-13: 1108632068

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This is the second volume of a series of mainly expository articles on the arithmetic theory of automorphic forms. It forms a sequel to On the Stabilization of the Trace Formula published in 2011. The books are intended primarily for two groups of readers: those interested in the structure of automorphic forms on reductive groups over number fields, and specifically in qualitative information on multiplicities of automorphic representations; and those interested in the classification of I-adic representations of Galois groups of number fields. Langlands' conjectures elaborate on the notion that these two problems overlap considerably. These volumes present convincing evidence supporting this, clearly and succinctly enough that readers can pass with minimal effort between the two points of view. Over a decade's worth of progress toward the stabilization of the Arthur-Selberg trace formula, culminating in Ngo Bau Chau's proof of the Fundamental Lemma, makes this series timely.


The Map of My Life

The Map of My Life

Author: Goro Shimura

Publisher: Springer Science & Business Media

Published: 2008-12-16

Total Pages: 213

ISBN-13: 0387797157

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In this book, the author writes freely and often humorously about his life, beginning with his earliest childhood days. He describes his survival of American bombing raids when he was a teenager in Japan, his emergence as a researcher in a post-war university system that was seriously deficient, and his life as a mature mathematician in Princeton and in the international academic community. Every page of this memoir contains personal observations and striking stories. Such luminaries as Chevalley, Oppenheimer, Siegel, and Weil figure prominently in its anecdotes. Goro Shimura is Professor Emeritus of Mathematics at Princeton University. In 1996, he received the Leroy P. Steele Prize for Lifetime Achievement from the American Mathematical Society. He is the author of Elementary Dirichlet Series and Modular Forms (Springer 2007), Arithmeticity in the Theory of Automorphic Forms (AMS 2000), and Introduction to the Arithmetic Theory of Automorphic Functions (Princeton University Press 1971).


The Music of Color

The Music of Color

Author: Fukumi Shimura

Publisher:

Published: 2019-04-27

Total Pages: 141

ISBN-13: 9784866580616

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A creator in the medium of textiles, the author is known in Japan for her essays on color, nature, and the work of weaving and dyeing. This book collects some of the author's writings together with photographs of her art and the natural world that inspires it. From winter snows to spring blossoms, from the foothills of Japan's Southern Alps to the back streets of Gion, Kyoto, the author initiates the reader into areas of Japanese culture where the boundary between craft and art is blurred. The author offers insight into the sources and use of natural color, along with a glimpse into the world of Japanese textiles, from silkworm and loom to finished kimono. Travels from Basho's Deep North to the western island of Kyushu are recorded, as are accounts of the author's encounters with other figures in Japanese aesthetics such as lacquerware master Kuroda Tatsuaki and poet-critic Ōoka Makoto.--adapted from jacket.


Shimura Trouble

Shimura Trouble

Author: Sujata Massey

Publisher: Severn House

Published: 2009

Total Pages: 0

ISBN-13: 9780727877680

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A Rei Shimura Mystery - During a family reunion on the island of Oahu, Japanese-American undercover spy Rei Shimura is roped into helping the Hawaiian branch of her family regain land stolen from them during World War II. But when fire sweeps the island and her young cousin is accused of arson, Rei, with the assistance of both her boyfriend and ex-lover, must discover the truth, which turns out to be linked to the Shimura family history . . .


Takashi Shimura

Takashi Shimura

Author: Scott Allen Nollen

Publisher: McFarland

Published: 2019-03-28

Total Pages: 294

ISBN-13: 1476670137

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Considered one of the finest performers in world cinema, Japanese actor Takashi Shimura (1905-1982) appeared in more than 300 stage, film and television roles during his five-decade career. He is best known for his frequent collaborations with Akira Kurosawa, including major roles in the landmark classics Rashomon (1950), Ikiru (1952) and Seven Samurai (1954), and for his memorable characterizations in Ishiro Honda's Godzilla (1954) and several Kaiju sequels. This is the first complete English-language account of Shimura's work. In addition to historical and critical coverage of Shimura's life and career, it includes an extensive filmography.


The Salaryman's Wife

The Salaryman's Wife

Author: Sujata Massey

Publisher: Harper Collins

Published: 2013-10-01

Total Pages: 436

ISBN-13: 0062325256

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Winner of the Agatha Award. "Sujata Massey blasts her way into fiction with The Salaryman's Wife, a cross-cultural mystery of manners with a decidedly sexy edge."-- Janet Evanonich Japanese-American Rei Shimura is a 27-year-old English teacher living in one of Tokyo's seediest neighborhoods. She doesn't make much money, but she wouldn't go back home to California even if she had a free ticket (which, thanks to her parents, she does.) She's determined to make it on her own. Her independence is threatened however, when a getaway to an ancient castle town is marred by murder. Rei is the first to find the beautiful wife of a high-powered businessman, dead in the snow. Taking charge, as usual, Rei searches for clues by crashing a funeral, posing as a bar-girl, and somehow ending up pursued by police and paparazzi alike. In the meantime, she attempts to piece together a strange, ever-changing puzzle—one that is built on lies and held together by years of sex and deception. The first installment in the Rei Shimura series, The Salaryman's Wife is a riveting tale of death, love, and sex, told in a unique cross-cultural voice.


Harmonic Analysis, the Trace Formula, and Shimura Varieties

Harmonic Analysis, the Trace Formula, and Shimura Varieties

Author: Clay Mathematics Institute. Summer School

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 708

ISBN-13: 9780821838440

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Langlands program proposes fundamental relations that tie arithmetic information from number theory and algebraic geometry with analytic information from harmonic analysis and group representations. This title intends to provide an entry point into this exciting and challenging field.


Introduction to the Arithmetic Theory of Automorphic Functions

Introduction to the Arithmetic Theory of Automorphic Functions

Author: Gorō Shimura

Publisher: Princeton University Press

Published: 1971-08-21

Total Pages: 292

ISBN-13: 9780691080925

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The theory of automorphic forms is playing increasingly important roles in several branches of mathematics, even in physics, and is almost ubiquitous in number theory. This book introduces the reader to the subject and in particular to elliptic modular forms with emphasis on their number-theoretical aspects. After two chapters geared toward elementary levels, there follows a detailed treatment of the theory of Hecke operators, which associate zeta functions to modular forms. At a more advanced level, complex multiplication of elliptic curves and abelian varieties is discussed. The main question is the construction of abelian extensions of certain algebraic number fields, which is traditionally called "Hilbert's twelfth problem." Another advanced topic is the determination of the zeta function of an algebraic curve uniformized by modular functions, which supplies an indispensable background for the recent proof of Fermat's last theorem by Wiles.


p-Adic Automorphic Forms on Shimura Varieties

p-Adic Automorphic Forms on Shimura Varieties

Author: Haruzo Hida

Publisher: Springer Science & Business Media

Published: 2004-05-10

Total Pages: 414

ISBN-13: 9780387207117

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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).


Quaternion Orders, Quadratic Forms, and Shimura Curves

Quaternion Orders, Quadratic Forms, and Shimura Curves

Author: Montserrat Alsina

Publisher: American Mathematical Soc.

Published: 2004

Total Pages: 232

ISBN-13: 9780821833599

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Shimura curves are a far-reaching generalization of the classical modular curves. They lie at the crossroads of many areas, including complex analysis, hyperbolic geometry, algebraic geometry, algebra, and arithmetic. This monograph presents Shimura curves from a theoretical and algorithmic perspective. The main topics are Shimura curves defined over the rational number field, the construction of their fundamental domains, and the determination of their complex multiplicationpoints. The study of complex multiplication points in Shimura curves leads to the study of families of binary quadratic forms with algebraic coefficients and to their classification by arithmetic Fuchsian groups. In this regard, the authors develop a theory full of new possibilities that parallels Gauss'theory on the classification of binary quadratic forms with integral coefficients by the action of the modular group. This is one of the few available books explaining the theory of Shimura curves at the graduate student level. Each topic covered in the book begins with a theoretical discussion followed by carefully worked-out examples, preparing the way for further research.