Profinite Groups Arithmetic And Geometry

DOWNLOAD

Download Profinite Groups Arithmetic And Geometry PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Profinite Groups Arithmetic And Geometry book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Profinite Groups Arithmetic And Geometry

DOWNLOAD
Author : Stephen S. Shatz
language : en
Publisher: Princeton University Press
Release Date : 1972-03-21

Profinite Groups Arithmetic And Geometry written by Stephen S. Shatz and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-03-21 with Mathematics categories.

This volume reproduces, in the first five chapters, the content of a one semester course given at the University of Pennsylvania in the spring of 1968. The final chapter was material that was not presented during the course due to lack of time. The aim of the course was to acquaint students with a body of material upon which some of the modern research in Diophantine geometry and higher arithmetic is based, and in a way which emphasized the many interesting roads out of these elementary foundations.

Arithmetic And Geometry Around Galois Theory

DOWNLOAD
Author : Pierre Dèbes
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-13

Arithmetic And Geometry Around Galois Theory written by Pierre Dèbes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-13 with Mathematics categories.

This Lecture Notes volume is the fruit of two research-level summer schools jointly organized by the GTEM node at Lille University and the team of Galatasaray University (Istanbul): "Geometry and Arithmetic of Moduli Spaces of Coverings (2008)" and "Geometry and Arithmetic around Galois Theory (2009)". The volume focuses on geometric methods in Galois theory. The choice of the editors is to provide a complete and comprehensive account of modern points of view on Galois theory and related moduli problems, using stacks, gerbes and groupoids. It contains lecture notes on étale fundamental group and fundamental group scheme, and moduli stacks of curves and covers. Research articles complete the collection.​

Arithmetic Geometry Cryptography And Coding Theory

DOWNLOAD
Author : Stéphane Ballet
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-07-01

Arithmetic Geometry Cryptography And Coding Theory written by Stéphane Ballet and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-01 with Education categories.

This volume contains the proceedings of the 17th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (AGC2T-17), held from June 10–14, 2019, at the Centre International de Rencontres Mathématiques in Marseille, France. The conference was dedicated to the memory of Gilles Lachaud, one of the founding fathers of the AGC2T series. Since the first meeting in 1987 the biennial AGC2T meetings have brought together the leading experts on arithmetic and algebraic geometry, and the connections to coding theory, cryptography, and algorithmic complexity. This volume highlights important new developments in the field.

Groups As Galois Groups

DOWNLOAD
Author : Helmut Völklein
language : en
Publisher: Cambridge University Press
Release Date : 1996-08-13

Groups As Galois Groups written by Helmut Völklein and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-08-13 with Mathematics categories.

This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem of mathematics posed by Hilbert at the beginning of the century. It brings together ideas from group theory, algebraic geometry and number theory, topology, and analysis. Assuming only elementary algebra and complex analysis, the author develops the necessary background from topology, Riemann surface theory and number theory. The first part of the book is quite elementary, and leads up to the basic rigidity criteria for the realisation of groups as Galois groups. The second part presents more advanced topics, such as braid group action and moduli spaces for covers of the Riemann sphere, GAR- and GAL- realizations, and patching over complete valued fields. Graduate students and mathematicians from other areas (especially group theory) will find this an excellent introduction to a fascinating field.

The Structure Of Compact Groups

DOWNLOAD
Author : Karl H. Hofmann
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-06-08

The Structure Of Compact Groups written by Karl H. Hofmann and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-08 with Mathematics categories.

This book is designed both as a textbook for high-level graduate courses and as a reference for researchers who need to apply the structure and representation theory of compact groups. A gentle introduction to compact groups and their representation theory is followed by self-contained courses on linear and compact Lie groups, and on locally compact abelian groups. This fourth edition was updated with the latest developments in the field.

The Brauer Grothendieck Group

DOWNLOAD
Author : Jean-Louis Colliot-Thélène
language : en
Publisher: Springer Nature
Release Date : 2021-07-30

The Brauer Grothendieck Group written by Jean-Louis Colliot-Thélène and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-30 with Mathematics categories.

This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry. The importance of the cohomological Brauer group for applications to Diophantine equations and algebraic geometry was discovered soon after this group was introduced by Grothendieck. The Brauer–Manin obstruction plays a crucial role in the study of rational points on varieties over global fields. The birational invariance of the Brauer group was recently used in a novel way to establish the irrationality of many new classes of algebraic varieties. The book covers the vast theory underpinning these and other applications. Intended as an introduction to cohomological methods in algebraic geometry, most of the book is accessible to readers with a knowledge of algebra, algebraic geometry and algebraic number theory at graduate level. Much of the more advanced material is not readily available in book form elsewhere; notably, de Jong’s proof of Gabber’s theorem, the specialisation method and applications of the Brauer group to rationality questions, an in-depth study of the Brauer–Manin obstruction, and proof of the finiteness theorem for the Brauer group of abelian varieties and K3 surfaces over finitely generated fields. The book surveys recent work but also gives detailed proofs of basic theorems, maintaining a balance between general theory and concrete examples. Over half a century after Grothendieck's foundational seminars on the topic, The Brauer–Grothendieck Group is a treatise that fills a longstanding gap in the literature, providing researchers, including research students, with a valuable reference on a central object of algebraic and arithmetic geometry.

Galois Groups And Fundamental Groups

DOWNLOAD
Author : Tamás Szamuely
language : en
Publisher: Cambridge University Press
Release Date : 2009-07-16

Galois Groups And Fundamental Groups written by Tamás Szamuely and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-16 with Mathematics categories.

Assuming little technical background, the author presents the strong analogies between these two concepts starting at an elementary level.

Generators And Relations In Groups And Geometries

DOWNLOAD
Author : A. Barlotti
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Generators And Relations In Groups And Geometries written by A. Barlotti and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Every group is represented in many ways as an epimorphic image of a free group. It seems therefore futile to search for methods involving generators and relations which can be used to detect the structure of a group. Nevertheless, results in the indicated direction exist. The clue is to ask the right question. Classical geometry is a typical example in which the factorization of a motion into reflections or, more generally, of a collineation into central collineations, supplies valuable information on the geometric and algebraic structure. This mode of investigation has gained momentum since the end of last century. The tradition of geometric-algebraic interplay brought forward two branches of research which are documented in Parts I and II of these Proceedings. Part II deals with the theory of reflection geometry which culminated in Bachmann's work where the geometric information is encoded in properties of the group of motions expressed by relations in the generating involutions. This approach is the backbone of the classification of motion groups for the classical unitary and orthogonal planes. The axioms in this char acterization are natural and plausible. They provoke the study of consequences of subsets of axioms which also yield natural geometries whose exploration is rewarding. Bachmann's central axiom is the three reflection theorem, showing that the number of reflections needed to express a motion is of great importance.

Central Simple Algebras And Galois Cohomology

DOWNLOAD
Author : Philippe Gille
language : en
Publisher: Cambridge University Press
Release Date : 2017-08-10

Central Simple Algebras And Galois Cohomology written by Philippe Gille and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-10 with Mathematics categories.

The first comprehensive modern introduction to central simple algebra starting from the basics and reaching advanced results.

Infinite Loop Spaces Am 90 Volume 90

DOWNLOAD
Author : John Frank Adams
language : en
Publisher: Princeton University Press
Release Date : 1978-09-01

Infinite Loop Spaces Am 90 Volume 90 written by John Frank Adams and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-09-01 with Mathematics categories.

The theory of infinite loop spaces has been the center of much recent activity in algebraic topology. Frank Adams surveys this extensive work for researchers and students. Among the major topics covered are generalized cohomology theories and spectra; infinite-loop space machines in the sense of Boadman-Vogt, May, and Segal; localization and group completion; the transfer; the Adams conjecture and several proofs of it; and the recent theories of Adams and Priddy and of Madsen, Snaith, and Tornehave.