Download or read book p Adic Automorphic Forms on Shimura Varieties written by Haruzo Hida and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Shimura Varieties written by Thomas Haines and published by Cambridge University Press. This book was released on 2020-02-20 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume forms the sequel to "On the stabilization of the trace formula", published by International Press of Boston, Inc., 2011
Download or read book Takashi Shimura written by Scott Allen Nollen and published by McFarland. This book was released on 2019-03-11 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Quaternion Orders Quadratic Forms and Shimura Curves written by Montserrat Alsina and published by American Mathematical Soc.. This book was released on 2004 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Harmonic Analysis the Trace Formula and Shimura Varieties written by Clay Mathematics Institute. Summer School and published by American Mathematical Soc.. This book was released on 2005 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Quaternion Orders Quadratic Forms and Shimura Curves written by Montserrat Alsina and Pilar Bayer and published by American Mathematical Soc.. This book was released on with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 multiplication points. 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. Titles in this series are co-published with the Centre de Recherches Mathématiques.
Download or read book Teiko Shimura and the Two Names os Dr Hendly written by H. H. M. McRoss and published by Editora Bibliomundi. This book was released on 2022-05-26 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: London, 1895. A heinous crime occurs at Baldomore Castle. A monstrous murderer kills the respected Lord Velton with cruelties. Visiting Scotland Yard to learn modern Western crime-fighting techniques in large cities is Tokyo Police Detective Teiko Shimura. He is invited to give his opinion on the crime and his insight and openness in considering the fantastic and the impossible builds a line of investigation that ends in discovering that there is a fine line between the wonderful and the real. Founding a special team, 'The Four Daring', he unravels the terrible secret that weighs on the life of a renowned American doctor and reveals the hideous face of the mysterious and cowardly murderer.
Download or read book Periods of Quaternionic Shimura Varieties I written by Atsushi Ichino and published by American Mathematical Society. This book was released on 2021-02-23 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book formulates a new conjecture about quadratic periods of automorphic forms on quaternion algebras, which is an integral refinement of Shimura's algebraicity conjectures on these periods. It also provides a strategy to attack this conjecture by reformulating it in terms of integrality properties of the theta correspondence for quaternionic unitary groups. The methods and constructions of the book are expected to have applications to other problems related to periods, such as the Bloch-Beilinson conjecture about special values of $L$-functions and constructing geometric realizations of Langlands functoriality for automorphic forms on quaternion algebras.
Download or read book Automorphic Forms and Shimura Varieties of PGSp 2 written by Yuval Zvi Flicker and published by World Scientific. This book was released on 2005 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: The area of automorphic representations is a natural continuation of studies in the 19th and 20th centuries on number theory and modular forms. A guiding principle is a reciprocity law relating infinite dimensional automorphic representations with finite dimensional Galois representations. Simple relations on the Galois side reflect deep relations on the automorphic side, called ?liftings.' This in-depth book concentrates on an initial example of the lifting, from a rank 2 symplectic group PGSp(2) to PGL(4), reflecting the natural embedding of Sp(2,ó) in SL(4, ó). It develops the technique of comparing twisted and stabilized trace formulae. It gives a detailed classification of the automorphic and admissible representation of the rank two symplectic PGSp(2) by means of a definition of packets and quasi-packets, using character relations and trace formulae identities. It also shows multiplicity one and rigidity theorems for the discrete spectrum.Applications include the study of the decomposition of the cohomology of an associated Shimura variety, thereby linking Galois representations to geometric automorphic representations.To put these results in a general context, the book concludes with a technical introduction to Langlands' program in the area of automorphic representations. It includes a proof of known cases of Artin's conjecture.
Download or read book Introduction to the Arithmetic Theory of Automorphic Functions written by Gorō Shimura and published by Princeton University Press. This book was released on 1971-08-21 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Map of My Life written by Goro Shimura and published by Springer Science & Business Media. This book was released on 2008-12-16 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Download or read book Abelian Varieties with Complex Multiplication and Modular Functions written by Goro Shimura and published by Princeton University Press. This book was released on 2016-06-02 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reciprocity laws of various kinds play a central role in number theory. In the easiest case, one obtains a transparent formulation by means of roots of unity, which are special values of exponential functions. A similar theory can be developed for special values of elliptic or elliptic modular functions, and is called complex multiplication of such functions. In 1900 Hilbert proposed the generalization of these as the twelfth of his famous problems. In this book, Goro Shimura provides the most comprehensive generalizations of this type by stating several reciprocity laws in terms of abelian varieties, theta functions, and modular functions of several variables, including Siegel modular functions. This subject is closely connected with the zeta function of an abelian variety, which is also covered as a main theme in the book. The third topic explored by Shimura is the various algebraic relations among the periods of abelian integrals. The investigation of such algebraicity is relatively new, but has attracted the interest of increasingly many researchers. Many of the topics discussed in this book have not been covered before. In particular, this is the first book in which the topics of various algebraic relations among the periods of abelian integrals, as well as the special values of theta and Siegel modular functions, are treated extensively.
Download or read book The Music of Color written by Fukumi Shimura and published by . This book was released on 2019-04-27 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Salaryman s Wife written by Sujata Massey and published by Harper Collins. This book was released on 2013-10-01 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Wandering Son written by Takako Shimura and published by . This book was released on 2014 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: After writing the script to their adaptation of Romeo and Juliet, Nitori-kun, the boy who wants to be a girl, and Chiba-san, the girl with a crush on him, disagree about the casting the roles of Romeo and Juliet.
Download or read book The Floating Girl written by Sujata Massey and published by Harper Collins. This book was released on 2001-07-03 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Japanese-American writer Rei Shimura finally feels at home in Tokyo. Working on an article about the history of comic book art, her story turns when the creator of a comic book, which reveals the social milieu of pre-World War II Japan, is found dead. Rei finds herself floating through Japan's youth underground to get the story--and save her own skin. A Mystery Guild Selection.
Download or read book Hodge Cycles Motives and Shimura Varieties written by Pierre Deligne and published by Springer. This book was released on 2009-03-20 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt:
