Geometric Aspects Of Dwork Theory PDF Download
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| Author | : Alan Adolphson |
| Publisher | : Walter de Gruyter |
| Total Pages | : 1150 |
| Release | : 2008-08-22 |
| Genre | : Mathematics |
| ISBN | : 3110198134 |
Download Geometric Aspects of Dwork Theory Book in PDF, ePub and Kindle
This two-volume book collects the lectures given during the three months cycle of lectures held in Northern Italy between May and July of 2001 to commemorate Professor Bernard Dwork (1923 - 1998). It presents a wide-ranging overview of some of the most active areas of contemporary research in arithmetic algebraic geometry, with special emphasis on the geometric applications of the p-adic analytic techniques originating in Dwork's work, their connection to various recent cohomology theories and to modular forms. The two volumes contain both important new research and illuminating survey articles written by leading experts in the field. The book will provide an indispensable resource for all those wishing to approach the frontiers of research in arithmetic algebraic geometry.
| Author | : Alin Bostan |
| Publisher | : Springer Nature |
| Total Pages | : 544 |
| Release | : 2021-11-02 |
| Genre | : Mathematics |
| ISBN | : 3030843041 |
Download Transcendence in Algebra, Combinatorics, Geometry and Number Theory Book in PDF, ePub and Kindle
This proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient Transcendence in Transylvania, held in Brașov, Romania, from May 13th to 17th, 2019. The conference gathered international experts from various fields of mathematics and computer science, with diverse interests and viewpoints on transcendence. The covered topics are related to algebraic and transcendental aspects of special functions and special numbers arising in algebra, combinatorics, geometry and number theory. Besides contributions on key topics from invited speakers, this volume also brings selected papers from attendees.
| Author | : Fabrizio Catanese |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 508 |
| Release | : 2006-09-29 |
| Genre | : Mathematics |
| ISBN | : 3540354808 |
Download Global Aspects of Complex Geometry Book in PDF, ePub and Kindle
This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kähler geometry, and group actions to Hodge theory and characteristic p-geometry. Written by established experts this book will be a must for mathematicians working in Complex Geometry
| Author | : Fedor Bogomolov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 365 |
| Release | : 2006-06-22 |
| Genre | : Mathematics |
| ISBN | : 0817644172 |
Download Geometric Methods in Algebra and Number Theory Book in PDF, ePub and Kindle
* Contains a selection of articles exploring geometric approaches to problems in algebra, algebraic geometry and number theory * The collection gives a representative sample of problems and most recent results in algebraic and arithmetic geometry * Text can serve as an intense introduction for graduate students and those wishing to pursue research in algebraic and arithmetic geometry
| Author | : Dorian Goldfeld |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 715 |
| Release | : 2011-12-21 |
| Genre | : Mathematics |
| ISBN | : 1461412609 |
Download Number Theory, Analysis and Geometry Book in PDF, ePub and Kindle
Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, and on his colleagues. Over the course of his career, Lang traversed a tremendous amount of mathematical ground. As he moved from subject to subject, he found analogies that led to important questions in such areas as number theory, arithmetic geometry, and the theory of negatively curved spaces. Lang's conjectures will keep many mathematicians occupied far into the future. In the spirit of Lang’s vast contribution to mathematics, this memorial volume contains articles by prominent mathematicians in a variety of areas of the field, namely Number Theory, Analysis, and Geometry, representing Lang’s own breadth of interest and impact. A special introduction by John Tate includes a brief and fascinating account of the Serge Lang’s life. This volume's group of 6 editors are also highly prominent mathematicians and were close to Serge Lang, both academically and personally. The volume is suitable to research mathematicians in the areas of Number Theory, Analysis, and Geometry.
| Author | : Dan Abramovich |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 539 |
| Release | : 2009 |
| Genre | : Mathematics |
| ISBN | : 0821847031 |
Download Algebraic Geometry Book in PDF, ePub and Kindle
Offers information on various technical tools, from jet schemes and derived categories to algebraic stacks. This book delves into the geometry of various moduli spaces, including those of stable curves, stable maps, coherent sheaves, and abelian varieties. It describes various advances in higher-dimensional bi rational geometry.
| Author | : James W. Cogdell |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 454 |
| Release | : 2014-04-01 |
| Genre | : Mathematics |
| ISBN | : 0821893947 |
Download Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro Book in PDF, ePub and Kindle
This volume contains the proceedings of the conference Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro, held from April 23-27, 2012, at Yale University, New Haven, CT. Ilya I. Piatetski-Shapiro, who passed away on 21 February 2009, was a leading figure in the theory of automorphic forms. The conference attempted both to summarize and consolidate the progress that was made during Piatetski-Shapiro's lifetime by him and a substantial group of his co-workers, and to promote future work by identifying fruitful directions of further investigation. It was organized around several themes that reflected Piatetski-Shapiro's main foci of work and that have promise for future development: functoriality and converse theorems; local and global -functions and their periods; -adic -functions and arithmetic geometry; complex geometry; and analytic number theory. In each area, there were talks to review the current state of affairs with special attention to Piatetski-Shapiro's contributions, and other talks to report on current work and to outline promising avenues for continued progress. The contents of this volume reflect most of the talks that were presented at the conference as well as a few additional contributions. They all represent various aspects of the legacy of Piatetski-Shapiro.
| Author | : Omid Amini |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 274 |
| Release | : 2014-12-26 |
| Genre | : Mathematics |
| ISBN | : 1470410214 |
Download Tropical and Non-Archimedean Geometry Book in PDF, ePub and Kindle
Over the past decade, it has become apparent that tropical geometry and non-Archimedean geometry should be studied in tandem; each subject has a great deal to say about the other. This volume is a collection of articles dedicated to one or both of these disciplines. Some of the articles are based, at least in part, on the authors' lectures at the 2011 Bellairs Workshop in Number Theory, held from May 6-13, 2011, at the Bellairs Research Institute, Holetown, Barbados. Lecture topics covered in this volume include polyhedral structures on tropical varieties, the structure theory of non-Archimedean curves (algebraic, analytic, tropical, and formal), uniformisation theory for non-Archimedean curves and abelian varieties, and applications to Diophantine geometry. Additional articles selected for inclusion in this volume represent other facets of current research and illuminate connections between tropical geometry, non-Archimedean geometry, toric geometry, algebraic graph theory, and algorithmic aspects of systems of polynomial equations.
| Author | : Werner Müller |
| Publisher | : Springer |
| Total Pages | : 578 |
| Release | : 2016-09-20 |
| Genre | : Mathematics |
| ISBN | : 3319414240 |
Download Families of Automorphic Forms and the Trace Formula Book in PDF, ePub and Kindle
Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. Each peer-reviewed submission in this volume, based on the Simons Foundation symposium on families of automorphic forms and the trace formula held in Puerto Rico in January-February 2014, is the product of intensive research collaboration by the participants over the course of the seven-day workshop. The goal of each session in the symposium was to bring together researchers with diverse specialties in order to identify key difficulties as well as fruitful approaches being explored in the field. The respective themes were counting cohomological forms, p-adic trace formulas, Hecke fields, slopes of modular forms, and orbital integrals.
| Author | : D. Kaledin |
| Publisher | : IOS Press |
| Total Pages | : 356 |
| Release | : 2008-06-05 |
| Genre | : Mathematics |
| ISBN | : 1607503255 |
Download Higher-Dimensional Geometry Over Finite Fields Book in PDF, ePub and Kindle
Number systems based on a finite collection of symbols, such as the 0s and 1s of computer circuitry, are ubiquitous in the modern age. Finite fields are the most important such number systems, playing a vital role in military and civilian communications through coding theory and cryptography. These disciplines have evolved over recent decades, and where once the focus was on algebraic curves over finite fields, recent developments have revealed the increasing importance of higher-dimensional algebraic varieties over finite fields. The papers included in this publication introduce the reader to recent developments in algebraic geometry over finite fields with particular attention to applications of geometric techniques to the study of rational points on varieties over finite fields of dimension of at least 2.
