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Author : James Arthur
Publisher :
ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.3/5 (91 download)
Download or read book Journées automorphes written by James Arthur and published by . This book was released on 1983 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wilfred W. J. Hulsbergen
Publisher : Springer Science & Business Media
ISBN 13 : 3663095053
Total Pages : 247 pages
Book Rating : 4.6/5 (63 download)
Download or read book Conjectures in Arithmetic Algebraic Geometry written by Wilfred W. J. Hulsbergen and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the early 1980's, stimulated by work of Bloch and Deligne, Beilinson stated some intriguing conjectures on special values of L-functions of algebraic varieties defined over number fields. Roughly speaking these special values are determinants of higher regulator maps relating the higher algebraic K-groups of the variety to its cohomology. In this respect, higher algebraic K-theory is believed to provide a universal, motivic cohomology theory and the regulator maps are determined by Chern characters from higher algebraic K-theory to any other suitable cohomology theory. Also, Beilinson stated a generalized Hodge conjecture. This book provides an introduction to and a survey of Beilinson's conjectures and an introduction to Jannsen's work with respect to the Hodge and Tate conjectures. It addresses mathematicians with some knowledge of algebraic number theory, elliptic curves and algebraic K-theory.
Author : Uwe Jannsen
Publisher : American Mathematical Soc.
ISBN 13 : 9780821827994
Total Pages : 696 pages
Book Rating : 4.8/5 (279 download)
Download or read book Motives written by Uwe Jannsen and published by American Mathematical Soc.. This book was released on 1994-02-28 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motives were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, to play the role of the missing rational cohomology, and to provide a blueprint for proving Weil's conjectures about the zeta function of a variety over a finite field. Over the last ten years or so, researchers in various areas--Hodge theory, algebraic $K$-theory, polylogarithms, automorphic forms, $L$-functions, $ell$-adic representations, trigonometric sums, and algebraic cycles--have discovered that an enlarged (and in part conjectural) theory of ``mixed'' motives indicates and explains phenomena appearing in each area. Thus the theory holds the potential of enriching and unifying these areas. These two volumes contain the revised texts of nearly all the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held in Seattle, in 1991. A number of related works are also included, making for a total of forty-seven papers, from general introductions to specialized surveys to research papers.
Author : Jonathan David Rogawski
Publisher : Princeton University Press
ISBN 13 : 9780691085876
Total Pages : 276 pages
Book Rating : 4.0/5 (858 download)
Download or read book Automorphic Representations of Unitary Groups in Three Variables written by Jonathan David Rogawski and published by Princeton University Press. This book was released on 1990-09-21 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to develop the stable trace formula for unitary groups in three variables. The stable trace formula is then applied to obtain a classification of automorphic representations. This work represents the first case in which the stable trace formula has been worked out beyond the case of SL (2) and related groups. Many phenomena which will appear in the general case present themselves already for these unitary groups.
Author : A. J. Scholl
Publisher : Cambridge University Press
ISBN 13 : 0521644194
Total Pages : 506 pages
Book Rating : 4.5/5 (216 download)
Download or read book Galois Representations in Arithmetic Algebraic Geometry written by A. J. Scholl and published by Cambridge University Press. This book was released on 1998-11-26 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conference proceedings based on the 1996 LMS Durham Symposium 'Galois representations in arithmetic algebraic geometry'.
Author : Uwe Jannsen
Publisher : Springer
ISBN 13 : 3540469419
Total Pages : 260 pages
Book Rating : 4.5/5 (44 download)
Download or read book Mixed Motives and Algebraic K-Theory written by Uwe Jannsen and published by Springer. This book was released on 2006-11-14 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The relations that could or should exist between algebraic cycles, algebraic K-theory, and the cohomology of - possibly singular - varieties, are the topic of investigation of this book. The author proceeds in an axiomatic way, combining the concepts of twisted Poincaré duality theories, weights, and tensor categories. One thus arrives at generalizations to arbitrary varieties of the Hodge and Tate conjectures to explicit conjectures on l-adic Chern characters for global fields and to certain counterexamples for more general fields. It is to be hoped that these relations ions will in due course be explained by a suitable tensor category of mixed motives. An approximation to this is constructed in the setting of absolute Hodge cycles, by extending this theory to arbitrary varieties. The book can serve both as a guide for the researcher, and as an introduction to these ideas for the non-expert, provided (s)he knows or is willing to learn about K-theory and the standard cohomology theories of algebraic varieties.
Author : Jonathan David Rogawski
Publisher : Princeton University Press
ISBN 13 : 1400882443
Total Pages : 272 pages
Book Rating : 4.4/5 (8 download)
Download or read book Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 written by Jonathan David Rogawski and published by Princeton University Press. This book was released on 2016-03-02 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to develop the stable trace formula for unitary groups in three variables. The stable trace formula is then applied to obtain a classification of automorphic representations. This work represents the first case in which the stable trace formula has been worked out beyond the case of SL (2) and related groups. Many phenomena which will appear in the general case present themselves already for these unitary groups.
Author : Juan Tirao
Publisher : Springer Science & Business Media
ISBN 13 : 1461241626
Total Pages : 330 pages
Book Rating : 4.4/5 (612 download)
Download or read book Geometry and Representation Theory of Real and p-adic groups written by Juan Tirao and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The representation theory of Lie groups plays a central role in both clas sical and recent developments in many parts of mathematics and physics. In August, 1995, the Fifth Workshop on Representation Theory of Lie Groups and its Applications took place at the Universidad Nacional de Cordoba in Argentina. Organized by Joseph Wolf, Nolan Wallach, Roberto Miatello, Juan Tirao, and Jorge Vargas, the workshop offered expository courses on current research, and individual lectures on more specialized topics. The present vol ume reflects the dual character of the workshop. Many of the articles will be accessible to graduate students and others entering the field. Here is a rough outline of the mathematical content. (The editors beg the indulgence of the readers for any lapses in this preface in the high standards of historical and mathematical accuracy that were imposed on the authors of the articles. ) Connections between flag varieties and representation theory for real re ductive groups have been studied for almost fifty years, from the work of Gelfand and Naimark on principal series representations to that of Beilinson and Bernstein on localization. The article of Wolf provides a detailed introduc tion to the analytic side of these developments. He describes the construction of standard tempered representations in terms of square-integrable partially harmonic forms (on certain real group orbits on a flag variety), and outlines the ingredients in the Plancherel formula. Finally, he describes recent work on the complex geometry of real group orbits on partial flag varieties.
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1983-12 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stephen S. Gelbart
Publisher : American Mathematical Soc.
ISBN 13 : 0821805711
Total Pages : 112 pages
Book Rating : 4.8/5 (218 download)
Download or read book Lectures on the Arthur-Selberg Trace Formula written by Stephen S. Gelbart and published by American Mathematical Soc.. This book was released on 1996 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Arthur-Selberg trace formula is an equality between two kinds of traces: the geometric terms given by the conjugacy classes of a group and the spectral terms given by the induced representations. In general, these terms require a truncation in order to converge, which leads to an equality of truncated kernels. The formulas are difficult in general and even the case of $GL$(2) is nontrivial. The book gives proof of Arthur's trace formula of the 1970s and 1980s, with special attention given to $GL$(2). The problem is that when the truncated terms converge, they are also shown to be polynomial in the truncation variable and expressed as ``weighted'' orbital and ``weighted'' characters. In some important cases the trace formula takes on a simple form over $G$. The author gives some examples of this, and also some examples of Jacquet's relative trace formula. This work offers for the first time a simultaneous treatment of a general group with the case of $GL$(2). It also treats the trace formula with the example of Jacquet's relative formula. Features: Discusses why the terms of the geometric and spectral type must be truncated, and why the resulting truncations are polynomials in the truncation of value $T$. Brings into play the significant tool of ($G, M$) families and how the theory of Paley-Weiner is applied. Explains why the truncation formula reduces to a simple formula involving only the elliptic terms on the geometric sides with the representations appearing cuspidally on the spectral side (applies to Tamagawa numbers). Outlines Jacquet's trace formula and shows how it works for $GL$(2).
Author : Alan Baker
Publisher : Cambridge University Press
ISBN 13 : 9780521335454
Total Pages : 456 pages
Book Rating : 4.3/5 (354 download)
Download or read book New Advances in Transcendence Theory written by Alan Baker and published by Cambridge University Press. This book was released on 1988-10-13 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an account of the proceedings of a very successful symposium of Transcendental Number Theory held in Durham in 1986. Most of the leading international specialists were present and the lectures reflected the great advances that have taken place in this area. The papers cover all the main branches of the subject, and include not only definitive research but valuable survey articles.
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1995-10 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.:/5 (44 download)
Download or read book Journées arithmétiques written by and published by . This book was released on 1982 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
![Download Lectures on the Spectrum of L [Gamma] PDF Online Free](https://books.google.com/books/content/images/frontcover/uRzvAAAAMAAJ?fife=w200-h370)
Author : Floyd L. Williams
Publisher : Longman Scientific and Technical
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.3/5 (91 download)
Download or read book Lectures on the Spectrum of L [Gamma] written by Floyd L. Williams and published by Longman Scientific and Technical. This book was released on 1991 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1518 pages
Book Rating : 4.X/5 (6 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 478 pages
Book Rating : 4.A/5 ( download)
Download or read book Trabajos de matemática written by and published by . This book was released on 1990 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 586 pages
Book Rating : 4.:/5 (318 download)
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1983 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt:
