Last edited by Voodoojin
Monday, May 18, 2020 | History

6 edition of The Regulators of Beilinson and Borel (Crm Monograph Series, V. 15) found in the catalog.

The Regulators of Beilinson and Borel (Crm Monograph Series, V. 15)

by Jose I. Burgos Gil

  • 174 Want to read
  • 1 Currently reading

Published by American Mathematical Society .
Written in English

    Subjects:
  • Number Theory,
  • Geometry - Algebraic,
  • Mathematics,
  • Regulators (Mathematics),
  • Science/Mathematics

  • The Physical Object
    FormatHardcover
    Number of Pages104
    ID Numbers
    Open LibraryOL11419936M
    ISBN 100821826301
    ISBN 109780821826300

    You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. Regulators can be thought of as realizations from motivic cohomology, which is very difficult to compute, to more computable theories such as Hodge, Betti, l-adic, and Deligne cohomology. It is a very intricate subject that thrives on its interaction with algebraic K -theory, arithmetic geometry, number theory, motivic cohomology, Hodge theory.

    We construct a version of Beilinson’s regulator as a map of sheaves of commutative ring spectra and use it to define a multiplicative variant of differential algebraic use this theory to give an interpretation of Bloch’s construction of K 3-classes and the relation with rmore, we provide a relation to Arakelov theory via the arithmetic degree of metrized line Cited by: 3. The book [42] contains a very general conjecture about the existence and proper-ties of p-adic L-functions, from which one can derive a p-adic Beilinson conjecture. Rather than explain this in full detail we shall give a sketch of this conjecture similar to the sketch above of the Beilinson : Amnon Besser, Paul Buckingham, Rob de Jeu, Xavier-Francois Roblot.

    BOOK IV The Regulators and the Laws Subtitled: regulators and politicians to do anything about it. And in some ways it is the regulators and politicians faults for not fixing intrinsic holes in the regulatory fabric, some larger than Texas, for passing laws that were more. On the p-adic Beilinson Conjecture for Number Fields A. Besser, P. Buckingham, R. de Jeu and X.-F. Roblot Dedicated to Jean-Pierre Serre on the occasion of his eightieth birthday. Abstract: We formulate a conjectural p-adic analogue of Borel’s theorem relating regulators for higher K .


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The Regulators of Beilinson and Borel (Crm Monograph Series, V. 15) by Jose I. Burgos Gil Download PDF EPUB FB2

This book contains a complete proof of the fact that Borel's regulator map is twice Beilinson's regulator map. The strategy of the proof follows the argument sketched in Beilinson's original paper and relies on very similar descriptions of the Chern-Weil morphisms.

COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from The Regulators of Beilinson and Borel book ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

Observe that, in this setting, Beilinson’s regulator is defined only up to a rational number. For number fields, Beilinson’s conjectures state that R Be,p∼ lim s→−p+1 ζ k(s)(s+p−1)−dp.

In order to see Borel’s theorem as a particular case of Beilinson’s conjectures we have to compare the two regulators. EBOOK SYNOPSIS: The Regulators is a fresh look at how the regulatory system works in Washington and how it affects the life of every American.

The book, an incisive and sometimes entertaining look at the back corridors of government, draws upon real-life regulatory episodes that illustrate the power and reach of the rule-making establishment in Washington.

Comparison of the regulators of Beilinson and of Borel M. Rapoport This contribution is the fruit of a collaboration with r.

Although he in the end refused to have his name appear as an author, he played an important part in the preparation of this paper, which I consider as the result of a joint by: 8.

The Regulators of Beilinson and Borel by Jose I. Burgos Gil Book Resume: Download or read The Regulators of Beilinson and Borel book by clicking button below to visit the book download website.

There are multiple format available for you to choose (Pdf, ePub, Doc). Beilinson's regulators are also compared with those of Émile Borel. Comprised of 10 chapters, this volume begins with an introduction to the Beilinson conjectures.

Stack Exchange network consists of Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share. Abstract. This book contains a complete proof of the fact that Borel's regulator map is twice Beilinson's regulator map.

The strategy of the proof follows the argument sketched in Beilinson's original paper and relies on very similar descriptions of the Chern-Weil morphisms and the van Est by: The Regulators is a fresh look at how the regulatory system works in Washington and how it affects the life of every American.

The book, an incisive and sometimes entertaining look at the back corridors of government, draws upon real-life regulatory episodes that illustrate the power and reach of the rule-making establishment in Washington.

Abstract. Abstract. In this book we give a complete proof of the fact that Borel’s regulator map is twice Beilinson’s regulator map. The strategy of the proof follows the argument sketched in Beilinson’s original paper and relies on very similar descriptions of the Chern–Weil morphisms and the van Est : José I.

Burgos Gil. Les Conjectures de Beilinson pour les courbes elliptiques. In: Journées arithmétiques de Luminy, 17–21 juilletAstérisque ––, Société Mathématique de France (), pp. –Author: Wilfred W. Hulsbergen. A theory of such regulators has been in development, with work of Armand Borel and others.

Such higher regulators play a role, for example, in the Beilinson conjectures, and are expected to occur in evaluations of certain L-functions at integer values of the argument. See also Beilinson regulator.

Stark regulator. The Regulators of Beilinson and Borel José I. Burgos Gil, Universidad de Barcelona, Spain This book contains a complete proof of the fact that Borel’s regulator map is twice Beilinson’s regulator map.

The strategy of the proof follows the argu-ment sketched in Beilinson’s original paper and relies on very similar descriptions of the. If you are only interested in number fields, there is another construction of the regulator, named after Borel. An excellent online reference for this, and its relation to the Beilinson regulator, is the book of Burgos, available here.

The regulator generalizes the Dirichlet regulator which is covered in most introductory books on algebraic. Beilinsons regulators are also compared with those of Émile Borel. Comprised of 10 chapters, this volume begins with an introduction to the Beilinson conjectures and the theory of Chern classes from higher k-theory.

The "simplest" example of an L-function is presented, the Riemann zeta function. The Beilinson conjectures Christopher Deninger and Anthony J. Scholl* Introduction The Beilinson conjectures describe the leading coefficients of L-series of varieties over number fields up to rational factors in terms of generalized regulators.

We begin with a short but almost selfcontained introduction to this circle of Size: KB. Edited by: Yuri L yubich et al. Entire Functions in Modern Analysis: Boris Levin Memorial Conference Expected publication date is January 4, Description This volume presents the proceedings from the conference, "Entire Functions in Modern Analysis" held at Tel-Aviv University (Ramat-Aviv, Israel) in memory of Professor Boris Levin, an outstanding mathematician and a brilliant teacher.

Rapoport, Comparison of the regulators of Beilinson and Borel Beilinson's Conjectures on Special Values of L-Functions, ppPerspectives in Mathematics, Academic Press ().

The mapping cone (or cofiber) of a map ƒ:X→Y is = ∪. The mapping cylinder of a map ƒ:X→Y is = ∪ (×).Note: = / (× {}). The reduced versions of the above are obtained by using reduced cone and reduced cylinder. The mapping path space P p of a map p:E→B is the pullback of → along p is fibration, then the natural map E→P p is a fiber-homotopy equivalence; thus.

The Ugly: Even though this book is a decent one out of all his books, there are flaws. The biggest flaw that came with this book was changing Johnny. His don’t care attitude from Desperation really carried the book. Making him a sentimental person didn’t really help /5().The Relative Chern Character and Regulators.

As a corollary we obtain a new proof of Burgos' theorem that Borel's regulator is twice Beilinson's regulator. This book is an introductory Author: Georg Tamme. Stephen King is the author of more than sixty books, all of them worldwide bestsellers.

His recent work includes The Institute, Elevation, The Outsider, Sleeping Beauties (cowritten with his son Owen King), and the Bill Hodges trilogy: End of Watch, Finders Keepers, and Mr. Mercedes (an Edgar Award winner for Best Novel and an AT&T Audience Network original television series)/5().