Periods Of T Motives And Special Functions In Characteristic P

Author : Michel Waldschmidt
Publisher : American Mathematical Soc.
Page : 410 pages
File Size : 50,9 Mb
Release : 1998
Category : Mathematics
ISBN : 9780821806067

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Number Theory by Michel Waldschmidt Pdf

To observe the tenth anniversary of the founding of the Ramanujan Mathematical Society, an international conference on Discrete Mathematics and Number Theory was held in January 1996 in Tiruchirapalli, India. This volume contains proceedings from the number theory component of that conference. Papers are divided into four groups: arithmetic algebraic geometry, automorphic forms, elementary and analytic number theory, and transcendental number theory. This work deals with recent progress in current aspects of number theory and covers a wide variety of topics.

Author : August Leopold Crelle,Carl Wilhelm Borchardt,Leopold Kronecker,Lazarus Fuchs,Kurt Wilhelm Sebastian Hensel,Helmut Hasse,Friedrich Schottky
Publisher : Unknown
Page : 750 pages
File Size : 51,7 Mb
Release : 2002
Category : Electronic journals
ISBN : UCSD:31822020356002

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Journal für die reine und angewandte Mathematik by August Leopold Crelle,Carl Wilhelm Borchardt,Leopold Kronecker,Lazarus Fuchs,Kurt Wilhelm Sebastian Hensel,Helmut Hasse,Friedrich Schottky Pdf

Author : Donald G. Babbitt,Jane E. Kister
Publisher : American Mathematical Soc.
Page : 762 pages
File Size : 54,9 Mb
Release : 2000-05-05
Category : Mathematics
ISBN : 0821896709

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Featured Reviews in Mathematical Reviews 1997-1999 by Donald G. Babbitt,Jane E. Kister Pdf

This second volume of Featured Reviews makes available special detailed reviews of some of the most important mathematical articles and books published from 1997 through 1999. Also included are excellent reviews of several classic books and articles published prior to 1970. Among those reviews, for example, are the following: Homological Algebra by Henri Cartan and Samuel Eilenberg, reviewed by G. Hochschild; Faisceaux algebriques coherents by Jean-Pierre Serre, reviewed by C. Chevalley; and On the Theory of General Partial Differential Operators by Lars Hormander, reviewed by J. L. Lions. In particular, those seeking information on current developments outside their own area of expertise will find the volume very useful. By identifying some of the best publications, papers, and books that have had or are expected to have a significant impact in applied and pure mathematics, this volume will serve as a comprehensive guide to important new research across all fields covered by MR.

Author : Annette Huber,Gisbert Wüstholz
Publisher : Cambridge University Press
Page : 265 pages
File Size : 51,7 Mb
Release : 2022-05-26
Category : Mathematics
ISBN : 9781316519936

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Transcendence and Linear Relations of 1-Periods by Annette Huber,Gisbert Wüstholz Pdf

Leading experts explore the relation between periods and transcendental numbers, using a modern approach derived from the theory of motives.

Author : Gebhard Böckle,David Burns,David Goss,Dinesh Thakur,Fabien Trihan,Douglas Ulmer
Publisher : Springer
Page : 350 pages
File Size : 41,8 Mb
Release : 2014-11-13
Category : Mathematics
ISBN : 9783034808538

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Arithmetic Geometry over Global Function Fields by Gebhard Böckle,David Burns,David Goss,Dinesh Thakur,Fabien Trihan,Douglas Ulmer Pdf

This volume collects the texts of five courses given in the Arithmetic Geometry Research Programme 2009-2010 at the CRM Barcelona. All of them deal with characteristic p global fields; the common theme around which they are centered is the arithmetic of L-functions (and other special functions), investigated in various aspects. Three courses examine some of the most important recent ideas in the positive characteristic theory discovered by Goss (a field in tumultuous development, which is seeing a number of spectacular advances): they cover respectively crystals over function fields (with a number of applications to L-functions of t-motives), gamma and zeta functions in characteristic p, and the binomial theorem. The other two are focused on topics closer to the classical theory of abelian varieties over number fields: they give respectively a thorough introduction to the arithmetic of Jacobians over function fields (including the current status of the BSD conjecture and its geometric analogues, and the construction of Mordell-Weil groups of high rank) and a state of the art survey of Geometric Iwasawa Theory explaining the recent proofs of various versions of the Main Conjecture, in the commutative and non-commutative settings.

Author : Anonim
Publisher : Unknown
Page : 924 pages
File Size : 44,5 Mb
Release : 2007
Category : Dissertations, Academic
ISBN : STANFORD:36105123442555

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Dissertation Abstracts International by Anonim Pdf

Author : Uwe Jannsen,Jean-pierre Serre,Steven Kleiman
Publisher : American Mathematical Soc.
Page : 696 pages
File Size : 51,5 Mb
Release : 1994-02-28
Category : Mathematics
ISBN : 0821827995

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Motives by Uwe Jannsen,Jean-pierre Serre,Steven Kleiman Pdf

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 : David Goss,David R. Hayes,Michael Rosen
Publisher : Walter de Gruyter
Page : 493 pages
File Size : 43,7 Mb
Release : 2011-06-24
Category : Mathematics
ISBN : 9783110886153

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The Arithmetic of Function Fields by David Goss,David R. Hayes,Michael Rosen Pdf

Thisseries is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.

Author : American Mathematical Society
Publisher : Unknown
Page : 910 pages
File Size : 43,7 Mb
Release : 1995
Category : Mathematics
ISBN : CORNELL:31924074842992

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Abstracts of Papers Presented to the American Mathematical Society by American Mathematical Society Pdf

Author : Rob de Jeu,James Dominic Lewis
Publisher : American Mathematical Soc.
Page : 354 pages
File Size : 54,8 Mb
Release : 2009
Category : Algebraic cycles
ISBN : 9780821844946

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Motives and Algebraic Cycles by Rob de Jeu,James Dominic Lewis Pdf

Spencer J. Bloch has, and continues to have, a profound influence on the subject of Algebraic $K$-Theory, Cycles and Motives. This book, which is comprised of a number of independent research articles written by leading experts in the field, is dedicated in his honour, and gives a snapshot of the current and evolving nature of the subject. Some of the articles are written in an expository style, providing a perspective on the current state of the subject to those wishing to learn more about it. Others are more technical, representing new developments and making them especially interesting to researchers for keeping abreast of recent progress.

Author : Anonim
Publisher : American Mathematical Soc.
Page : 694 pages
File Size : 55,7 Mb
Release : 1994-02-28
Category : Mathematics
ISBN : 9780821827987

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Motives by Anonim Pdf

'Motives' were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, and to play the role of the missing rational cohomology. This work contains the texts of the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held in Seattle, in 1991.

Author : Bruno Kahn
Publisher : Cambridge University Press
Page : 217 pages
File Size : 48,5 Mb
Release : 2020-05-07
Category : Mathematics
ISBN : 9781108703390

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Zeta and L-Functions of Varieties and Motives by Bruno Kahn Pdf

Discover how zeta and L-functions have shaped the development of major parts of mathematics over the past two centuries.

Author : Dinesh S. Thakur
Publisher : World Scientific
Page : 405 pages
File Size : 47,7 Mb
Release : 2004
Category : Mathematics
ISBN : 9789812562388

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Function Field Arithmetic by Dinesh S. Thakur Pdf

This book provides an exposition of function field arithmetic withemphasis on recent developments concerning Drinfeld modules, thearithmetic of special values of transcendental functions (such as zetaand gamma functions and their interpolations), diophantineapproximation and related interesting open problems.

Author : David Goss
Publisher : Springer Science & Business Media
Page : 433 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642614804

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Basic Structures of Function Field Arithmetic by David Goss Pdf

From the reviews:"The book...is a thorough and very readable introduction to the arithmetic of function fields of one variable over a finite field, by an author who has made fundamental contributions to the field. It serves as a definitive reference volume, as well as offering graduate students with a solid understanding of algebraic number theory the opportunity to quickly reach the frontiers of knowledge in an important area of mathematics...The arithmetic of function fields is a universe filled with beautiful surprises, in which familiar objects from classical number theory reappear in new guises, and in which entirely new objects play important roles. Goss'clear exposition and lively style make this book an excellent introduction to this fascinating field." MR 97i:11062

Author : Uwe Jannsen
Publisher : Springer
Page : 260 pages
File Size : 46,5 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540469414

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Mixed Motives and Algebraic K-Theory by Uwe Jannsen Pdf

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.