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Special Issue In Memory Of Olga Taussky Todd
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Book Synopsis Olga Taussky-Todd by : Michael Aschbacher
Download or read book Olga Taussky-Todd written by Michael Aschbacher and published by International Press of Boston. This book was released on 1997 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of speeches from a one-day conference in memory of Olga Taussky-Todd held at Caltech in 1996. Additional contributors have added their articles to the volume and a review of Taussky-Todds professional work by H. Kisilevsky has also been included.
Book Synopsis p-Adic Automorphic Forms on Shimura Varieties by : Haruzo Hida
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 2004-05-10 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis Modular Forms and Galois Cohomology by : Haruzo Hida
Download or read book Modular Forms and Galois Cohomology written by Haruzo Hida and published by Cambridge University Press. This book was released on 2000-06-29 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive account of recent developments in arithmetic theory of modular forms, for graduates and researchers.
Book Synopsis P-adic Aspects Of Modular Forms by : Baskar Balasubramanyam
Download or read book P-adic Aspects Of Modular Forms written by Baskar Balasubramanyam and published by World Scientific. This book was released on 2016-06-14 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to give a systematic exposition of results in some important cases where p-adic families and p-adic L-functions are studied. We first look at p-adic families in the following cases: general linear groups, symplectic groups and definite unitary groups. We also look at applications of this theory to modularity lifting problems. We finally consider p-adic L-functions for GL(2), the p-adic adjoint L-functions and some cases of higher GL(n).
Book Synopsis Geometric Modular Forms And Elliptic Curves by : Haruzo Hida
Download or read book Geometric Modular Forms And Elliptic Curves written by Haruzo Hida and published by World Scientific. This book was released on 2000-09-27 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms. The construction of Galois representations, which play a fundamental role in Wiles' proof of the Shimura-Taniyama conjecture, is given. In addition, the book presents an outline of the proof of diverse modularity results of two-dimensional Galois representations (including that of Wiles), as well as some of the author's new results in that direction.
Book Synopsis Hilbert Modular Forms and Iwasawa Theory by : Haruzo Hida
Download or read book Hilbert Modular Forms and Iwasawa Theory written by Haruzo Hida and published by Clarendon Press. This book was released on 2006-06-15 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 1995 work of Wiles and Taylor-Wiles opened up a whole new technique in algebraic number theory and, a decade on, the waves caused by this incredibly important work are still being felt. This book, authored by a leading researcher, describes the striking applications that have been found for this technique. In the book, the deformation theoretic techniques of Wiles-Taylor are first generalized to Hilbert modular forms (following Fujiwara's treatment), and some applications found by the author are then discussed. With many exercises and open questions given, this text is ideal for researchers and graduate students entering this research area.
Book Synopsis Elementary Modular Iwasawa Theory by : Haruzo Hida
Download or read book Elementary Modular Iwasawa Theory written by Haruzo Hida and published by World Scientific. This book was released on 2021-10-04 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first to provide a comprehensive and elementary account of the new Iwasawa theory innovated via the deformation theory of modular forms and Galois representations. The deformation theory of modular forms is developed by generalizing the cohomological approach discovered in the author's 2019 AMS Leroy P Steele Prize-winning article without using much algebraic geometry.Starting with a description of Iwasawa's classical results on his proof of the main conjecture under the Kummer-Vandiver conjecture (which proves cyclicity of his Iwasawa module more than just proving his main conjecture), we describe a generalization of the method proving cyclicity to the adjoint Selmer group of every ordinary deformation of a two-dimensional Artin Galois representation.The fundamentals in the first five chapters are as follows:Many open problems are presented to stimulate young researchers pursuing their field of study.
Download or read book NIST Special Publication written by and published by . This book was released on 1988 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Pacific Journal of Mathematics written by and published by . This book was released on 1997-12 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Totally Nonnegative Matrices by : Shaun M. Fallat
Download or read book Totally Nonnegative Matrices written by Shaun M. Fallat and published by Princeton University Press. This book was released on 2022-12-13 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and self-contained study of the essential theory of totally nonnegative matrices, defined by the nonnegativity of all subdeterminants. It explores methodological background, historical highlights of key ideas, and specialized topics. The book uses classical and ad hoc tools, but a unifying theme is the elementary bidiagonal factorization, which has emerged as the single most important tool for this particular class of matrices. Recent work has shown that bidiagonal factorizations may be viewed in a succinct combinatorial way, leading to many deep insights. Despite slow development, bidiagonal factorizations, along with determinants, now provide the dominant methodology for understanding total nonnegativity. The remainder of the book treats important topics, such as recognition of totally nonnegative or totally positive matrices, variation diminution, spectral properties, determinantal inequalities, Hadamard products, and completion problems associated with totally nonnegative or totally positive matrices. The book also contains sample applications, an up-to-date bibliography, a glossary of all symbols used, an index, and related references.
Download or read book Congressus Numerantium written by and published by . This book was released on 1970 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 1998 with total page 1236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Real Algebraic Geometry and Ordered Structures by : Charles N. Delzell
Download or read book Real Algebraic Geometry and Ordered Structures written by Charles N. Delzell and published by American Mathematical Soc.. This book was released on 2000 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 16 carefully refereed articles by participants in the Special Semester and the AMS Special Session on Real Algebraic Geometry and Ordered Structures held at Louisiana State University and Southern University (Baton Rouge). The 23 contributors to this volume were among the 75 mathematicians from 15 countries who participated in the special semester. Topics include the topology of real algebraic curves (Hilbert's 16th problem), moduli of real algebraic curves, effective sums of squares of real forms (Hilbert's 17th problem), efficient real quantifier elimination, subanalytic sets and stratifications, semialgebraic singularity theory, radial vector fields, exponential functions and valuations on nonarchimedean ordered fields, valued field extensions, partially ordered and lattice-ordered rings, rings of continuous functions, spectra of rings, and abstract spaces of (higher-level) orderings and real places. This volume provides a good overview of the state of the art in this area in the 1990s. It includes both expository and original research papers by top workers in this thriving field. The authors and editors strived to make the volume useful to a wide audience (including students and researchers) interested in real algebraic geometry and ordered structures-two subjects that are obviously related, but seldom brought together.
Download or read book Hilbert written by Constance Reid and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: "It presents a sensitive portrait of a great human being. It describes accurately and intelligibly on a nontechnical level the world of mathematical ideas in which Hilbert created his masterpieces. And it illuminates the background of German social history against which the drama of Hilberts life was played. Beyond this, it is a poem in praise of mathematics." -SCIENCE
Book Synopsis Mathematical People by : Donald Albers
Download or read book Mathematical People written by Donald Albers and published by CRC Press. This book was released on 2008-09-18 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique collection contains extensive and in-depth interviews with mathematicians who have shaped the field of mathematics in the twentieth century. Collected by two mathematicians respected in the community for their skill in communicating mathematical topics to a broader audience, the book is also rich with photographs and includes an introdu
Book Synopsis The Asian Journal of Mathematics by :
Download or read book The Asian Journal of Mathematics written by and published by . This book was released on 1997 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
