Author : Gerard B. M. van der Geer
Publisher : Springer Science & Business Media
Page : 323 pages
File Size : 11,22 MB
Release : 2006-11-24
Category : Mathematics
ISBN : 0817644474
Invited articles by leading researchers explore various aspects of the parallel worlds of function fields and number fields Topics range from Arakelov geometry, the search for a theory of varieties over the field with one element, via Eisenstein series to Drinfeld modules, and t-motives Aimed at graduate students, mathematicians, and researchers interested in geometry and arithmetic and their connections
Author : Gerard van der Geer
Publisher : Birkhäuser
Page : 321 pages
File Size : 23,22 MB
Release : 2008-11-01
Category : Mathematics
ISBN : 9780817671051
Invited articles by leading researchers explore various aspects of the parallel worlds of function fields and number fields Topics range from Arakelov geometry, the search for a theory of varieties over the field with one element, via Eisenstein series to Drinfeld modules, and t-motives Aimed at graduate students, mathematicians, and researchers interested in geometry and arithmetic and their connections
Author : Gebhard Böckle
Publisher : Springer
Page : 350 pages
File Size : 30,19 MB
Release : 2014-11-13
Category : Mathematics
ISBN : 3034808534
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 : Jürgen Sander
Publisher : Springer
Page : 552 pages
File Size : 35,69 MB
Release : 2016-12-29
Category : Mathematics
ISBN : 3319282034
This book collects more than thirty contributions in memory of Wolfgang Schwarz, most of which were presented at the seventh International Conference on Elementary and Analytic Number Theory (ELAZ), held July 2014 in Hildesheim, Germany. Ranging from the theory of arithmetical functions to diophantine problems, to analytic aspects of zeta-functions, the various research and survey articles cover the broad interests of the well-known number theorist and cherished colleague Wolfgang Schwarz (1934-2013), who contributed over one hundred articles on number theory, its history and related fields. Readers interested in elementary or analytic number theory and related fields will certainly find many fascinating topical results among the contributions from both respected mathematicians and up-and-coming young researchers. In addition, some biographical articles highlight the life and mathematical works of Wolfgang Schwarz.
Author : Birkhauser Verlag AG
Publisher :
Page : pages
File Size : 43,3 MB
Release : 2005
Category :
ISBN : 9783764343972
Author : Holger Brenner
Publisher : American Mathematical Soc.
Page : 202 pages
File Size : 14,44 MB
Release : 2008
Category : Mathematics
ISBN : 0821844342
These lectures provides detailed introductions to some of the latest advances in three significant areas of rapid development in commutative algebra and its applications: tight closure and vector bundles; combinatorics and commutative algebra; constructive desingularization."
Author : Gerrit van Dijk
Publisher : Walter de Gruyter
Page : 295 pages
File Size : 26,35 MB
Release : 2010
Category : Business & Economics
ISBN : 311022612X
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Author : Caterina Consani
Publisher : JHU Press
Page : 324 pages
File Size : 10,19 MB
Release : 2011
Category : Mathematics
ISBN : 1421403528
Mathematics Institute, these essays collectively provide mathematicians and physicists with a comprehensive resource on the topic.
Author : John Forbes Nash, Jr.
Publisher : Springer
Page : 547 pages
File Size : 25,36 MB
Release : 2016-07-05
Category : Mathematics
ISBN : 3319321625
The goal in putting together this unique compilation was to present the current status of the solutions to some of the most essential open problems in pure and applied mathematics. Emphasis is also given to problems in interdisciplinary research for which mathematics plays a key role. This volume comprises highly selected contributions by some of the most eminent mathematicians in the international mathematical community on longstanding problems in very active domains of mathematical research. A joint preface by the two volume editors is followed by a personal farewell to John F. Nash, Jr. written by Michael Th. Rassias. An introduction by Mikhail Gromov highlights some of Nash’s legendary mathematical achievements. The treatment in this book includes open problems in the following fields: algebraic geometry, number theory, analysis, discrete mathematics, PDEs, differential geometry, topology, K-theory, game theory, fluid mechanics, dynamical systems and ergodic theory, cryptography, theoretical computer science, and more. Extensive discussions surrounding the progress made for each problem are designed to reach a wide community of readers, from graduate students and established research mathematicians to physicists, computer scientists, economists, and research scientists who are looking to develop essential and modern new methods and theories to solve a variety of open problems.
Author : Shai M. J. Haran
Publisher : American Mathematical Soc.
Page : 216 pages
File Size : 20,24 MB
Release : 2017-02-20
Category : Mathematics
ISBN : 147042312X
To view the abstract go to http://www.ams.org/books/memo/1166.
