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Tame Representations Of Local Weil Groups And Of Chain Groups Of Local Principal Orders
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Book Synopsis Tame Representations of Local Weil Groups and of Chain Groups of Local Principal Orders by : Albrecht Fröhlich
Download or read book Tame Representations of Local Weil Groups and of Chain Groups of Local Principal Orders written by Albrecht Fröhlich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: We begin by making clear the meaning of the term "tame". The higher ramifi cation groups, on the one hand, and the one-units of chain groups, on the other, are to lie in the kernels of the respective representations considered. We shall establish a very natural and very well behaved relationship between representa tions of the two groups mentioned in the title, with all the right properties, and in particular functorial under base change and essentially preserving root numbers. All this will be done in full generality for all principal orders. The formal setup for this also throws new light on the nature of Gauss sums and in particular leads to a canonical closed formula for tame Galois Gauss sums. In many ways the "tame" and the "wild" theory have distinct features and distinct points of interest. The "wild" theory is much harder and - as far as it goes at present - technically rather complicated. On the "tame" side, once we have developed a number of new ideas, we get a complete comprehensive theory, from which technical difficulties have disappeared, and which has a naturality, and perhaps elegance, which seems rather rare in this gen,eral area. Among the principal new concepts we are introducing are those of "similarity" of represen tations in both contexts and that of the Galois algebra of a principalorder., One might expect that this Galois algebra will ,also be of importance in the wild situation.
Book Synopsis Tame Representations of Local Weil Groups and of Chain Groups of Local Principal Orders by : Albrecht Fröhlich
Download or read book Tame Representations of Local Weil Groups and of Chain Groups of Local Principal Orders written by Albrecht Fröhlich and published by . This book was released on 1986 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Representation Theory and Number Theory in Connection with the Local Langlands Conjecture by : Jürgen Ritter
Download or read book Representation Theory and Number Theory in Connection with the Local Langlands Conjecture written by Jürgen Ritter and published by American Mathematical Soc.. This book was released on 1989 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Langlands Program summarizes those parts of mathematical research belonging to the representation theory of reductive groups and to class field theory. These two topics are connected by the vision that, roughly speaking, the irreducible representations of the general linear group may well serve as parameters for the description of all number fields. In the local case, the base field is a given $p$-adic field $K$ and the extension theory of $K$ is seen as determined by the irreducible representations of the absolute Galois group $G_K$ of $K$. Great progress has been made in establishing correspondence between the supercuspidal representations of $GL(n,K)$ and those irreducible representations of $G_K$ whose degrees divide $n$. Despite these advances, no book or paper has presented the different methods used or even collected known results. This volume contains the proceedings of the conference ``Representation Theory and Number Theory in Connection with the Local Langlands Conjecture,'' held in December 1985 at the University of Augsburg. The program of the conference was divided into two parts: (i) the representation theory of local division algebras and local Galois groups, and the Langlands conjecture in the tame case; and (ii) new results, such as the case $n=p$, the matching theorem, principal orders, tame Deligne representations, classification of representations of $GL(n)$, and the numerical Langlands conjecture. The collection of papers in this volume provides an excellent account of the current state of the local Langlands Program.
Book Synopsis Séminaire de Théorie Des Nombres by : D. Sinnou
Download or read book Séminaire de Théorie Des Nombres written by D. Sinnou and published by Springer Science & Business Media. This book was released on 1992 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Le travail ci-dessous developpe sur quelques points les tex:tes fondamentaux de C.L. Siegel [13[ et de K. Ramachandra [2). Remerclements C'est au Max Planck Institut de Bonn que la plus grande part des resultats (th. 2 et 3, ex:ception faite du point 3 d et th. 4 et 5) ont ete soit rectiges soit con~s. La rectaction definitive de ce travail a eu lieu ä l'Institut Fourier de Grenoble durant l'hiver 1990. Le th. 1 tel qu'il apparait ici, et le corollaire du th. 6 cf. identite (13), sont nouveaux. On trouvera une rectaction detailleedes th. 2 et 3 dans [51 et, parmi d'autres resultats, des th. 4, 5 et 6 dans [7). Que tous mes collegues et les deux equipes de secretartat recoivent ici mes remerciements les plus chaleureux. 2 1) On pose e( x) = e 1rix, x E C. Pour L un reseau complex:e, on note une base positivement olientee de L = lw + lw c'est-ä-dire teile que 1 2 On definit alors une forme modulaire .,.p> de poids 1 par 1](2)(w) ~fn (21l"i)ql/12 IJ ( - qn)2 1 { w2 n>l 1 12 q = e(W) , q 1 = e(W/12) , W = wt!w2 .
Book Synopsis Number Theory by : Jean-Marie De Koninck
Download or read book Number Theory written by Jean-Marie De Koninck and published by Walter de Gruyter. This book was released on 1989 with total page 1038 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monumental proceedings (very handsomely produced) of a major international conference. The book contains 74 refereed articles which, apart from a few survey papers of peculiar interest, are mostly research papers (63 in English, 11 in French). The topics covered reflect the full diversity of the current trends and activities in modern number theory: elementary, algebraic and analytic number theory; constructive (computational) number theory; elliptic curves and modular forms; arithmetical geometry; transcendence; quadratic forms; coding theory. (NW) Annotation copyrighted by Book News, Inc., Portland, OR
Book Synopsis Algebraic K-Theory: Connections with Geometry and Topology by : John F. Jardine
Download or read book Algebraic K-Theory: Connections with Geometry and Topology written by John F. Jardine and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: A NATO Advanced Study Institute entitled "Algebraic K-theory: Connections with Geometry and Topology" was held at the Chateau Lake Louise, Lake Louise, Alberta, Canada from December 7 to December 11 of 1987. This meeting was jointly supported by NATO and the Natural Sciences and Engineering Research Council of Canada, and was sponsored in part by the Canadian Mathematical Society. This book is the volume of proceedings for that meeting. Algebraic K-theory is essentially the study of homotopy invariants arising from rings and their associated matrix groups. More importantly perhaps, the subject has become central to the study of the relationship between Topology, Algebraic Geometry and Number Theory. It draws on all of these fields as a subject in its own right, but it serves as well as an effective translator for the application of concepts from one field in another. The papers in this volume are representative of the current state of the subject. They are, for the most part, research papers which are primarily of interest to researchers in the field and to those aspiring to be such. There is a section on problems in this volume which should be of particular interest to students; it contains a discussion of the problems from Gersten's well-known list of 1973, as well as a short list of new problems.
Book Synopsis L-Functions and Arithmetic by : J. Coates
Download or read book L-Functions and Arithmetic written by J. Coates and published by Cambridge University Press. This book was released on 1991-02-22 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at presenting nontechnical explanations, all the essays in this collection of papers from the 1989 LMS Durham Symposium on L-functions are the contributions of renowned algebraic number theory specialists.
Book Synopsis Performance and Blank Components of a Mass Spectrometric System for Routine Measurement of Helium Isotopes and Tritium by the 3He Ingrowth Method by : Reinhold Bayer
Download or read book Performance and Blank Components of a Mass Spectrometric System for Routine Measurement of Helium Isotopes and Tritium by the 3He Ingrowth Method written by Reinhold Bayer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: For future studies of oceanic circulation it is necessary to develop the tritium measurement via 3He ingrowth into a routine procedure with a high capacity for efficient use. This paper attempts to demonstrate that this can be achieved using a commercial helium isotope mass spectrometer and special procedures for sample preparation, storage for 3He ingrowth, and 3He transfer from the ingrowth containers into the mass spectrometer. This method allows for measurement with a much higher precision and lower detection limit than is possible with counting techniques. Additionally, the parameters and blanks in routine operation of the system are discussed.
Book Synopsis Surgical Observations and Their Consequences by : Fritz Linder
Download or read book Surgical Observations and Their Consequences written by Fritz Linder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Reviews in Number Theory, 1984-96 by :
Download or read book Reviews in Number Theory, 1984-96 written by and published by . This book was released on 1997 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Biographical Memoirs of Fellows of the Royal Society by : Royal Society (Great Britain)
Download or read book Biographical Memoirs of Fellows of the Royal Society written by Royal Society (Great Britain) and published by . This book was released on 1955 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Séminaire de Théorie Des Nombres, Paris, 1989-90 by : Sinnou David
Download or read book Séminaire de Théorie Des Nombres, Paris, 1989-90 written by Sinnou David and published by . This book was released on 1992 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Organization and Function of the Eucaryotic Genome by : I. Grummt
Download or read book Organization and Function of the Eucaryotic Genome written by I. Grummt and published by Springer. This book was released on 1987-04 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hemodynamics and the Development of Certain Malformations of the Great Arteries by : Benedicto Chuaqui
Download or read book Hemodynamics and the Development of Certain Malformations of the Great Arteries written by Benedicto Chuaqui and published by . This book was released on 1990 with total page 48 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 1994 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book International Books in Print written by and published by . This book was released on 1991 with total page 1286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Revue Roumaine de Mathématiques Pures Et Appliquées by :
Download or read book Revue Roumaine de Mathématiques Pures Et Appliquées written by and published by . This book was released on 1986 with total page 1000 pages. Available in PDF, EPUB and Kindle. Book excerpt:
