Galois Groups And Fundamental Groups PDF Download
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Author | : Tamás Szamuely |
Publisher | : Cambridge University Press |
Total Pages | : 281 |
Release | : 2009-07-16 |
Genre | : Mathematics |
ISBN | : 0521888506 |
Download Galois Groups and Fundamental Groups Book in PDF, ePub and Kindle
Assuming little technical background, the author presents the strong analogies between these two concepts starting at an elementary level.
Author | : Y. Ihara |
Publisher | : Springer Science & Business Media |
Total Pages | : 454 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461396492 |
Download Galois Groups over ? Book in PDF, ePub and Kindle
This volume is the offspring of a week-long workshop on "Galois groups over Q and related topics," which was held at the Mathematical Sciences Research Institute during the week March 23-27, 1987. The organizing committee consisted of Kenneth Ribet (chairman), Yasutaka Ihara, and Jean-Pierre Serre. The conference focused on three principal themes: 1. Extensions of Q with finite simple Galois groups. 2. Galois actions on fundamental groups, nilpotent extensions of Q arising from Fermat curves, and the interplay between Gauss sums and cyclotomic units. 3. Representations of Gal(Q/Q) with values in GL(2)j deformations and connections with modular forms. Here is a summary of the conference program: • G. Anderson: "Gauss sums, circular units and the simplex" • G. Anderson and Y. Ihara: "Galois actions on 11"1 ( ••• ) and higher circular units" • D. Blasius: "Maass forms and Galois representations" • P. Deligne: "Galois action on 1I"1(P-{0, 1, oo}) and Hodge analogue" • W. Feit: "Some Galois groups over number fields" • Y. Ihara: "Arithmetic aspect of Galois actions on 1I"1(P - {O, 1, oo})" - survey talk • U. Jannsen: "Galois cohomology of i-adic representations" • B. Matzat: - "Rationality criteria for Galois extensions" - "How to construct polynomials with Galois group Mll over Q" • B. Mazur: "Deforming GL(2) Galois representations" • K. Ribet: "Lowering the level of modular representations of Gal( Q/ Q)" • J-P. Serre: - Introductory Lecture - "Degree 2 modular representations of Gal(Q/Q)" • J.
Author | : Helmut Völklein |
Publisher | : Cambridge University Press |
Total Pages | : 270 |
Release | : 1996-08-13 |
Genre | : Mathematics |
ISBN | : 9780521562805 |
Download Groups as Galois Groups Book in PDF, ePub and Kindle
Develops the mathematical background and recent results on the Inverse Galois Problem.
Author | : John Coates |
Publisher | : Cambridge University Press |
Total Pages | : 321 |
Release | : 2011-12-15 |
Genre | : Mathematics |
ISBN | : 1139505653 |
Download Non-abelian Fundamental Groups and Iwasawa Theory Book in PDF, ePub and Kindle
This book describes the interaction between several key aspects of Galois theory based on Iwasawa theory, fundamental groups and automorphic forms. These ideas encompass a large portion of mainstream number theory and ramifications that are of interest to graduate students and researchers in number theory, algebraic geometry, topology and physics.
Author | : Leila Schneps |
Publisher | : Cambridge University Press |
Total Pages | : 486 |
Release | : 2003-07-21 |
Genre | : Mathematics |
ISBN | : 9780521808316 |
Download Galois Groups and Fundamental Groups Book in PDF, ePub and Kindle
Table of contents
Author | : Tamás Szamuely |
Publisher | : |
Total Pages | : 280 |
Release | : 2009 |
Genre | : Galois theory |
ISBN | : 9780511592362 |
Download Galois Groups and Fundamental Groups Book in PDF, ePub and Kindle
This book presents the connection between Galois groups in algebra and fundamental groups in topology. Starting at an elementary level, it shows how the judicious use of algebraic geometry gives access to the powerful interplay between algebra and topology that underpins much modern research in geometry and number theory.
Author | : Michio Kuga |
Publisher | : Springer Science & Business Media |
Total Pages | : 147 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461203295 |
Download Galois’ Dream: Group Theory and Differential Equations Book in PDF, ePub and Kindle
First year, undergraduate, mathematics students in Japan have for many years had the opportunity of a unique experience---an introduction, at an elementary level, to some very advanced ideas in mathematics from one of the leading mathematicians of the world. English reading students now have the opportunity to enjoy this lively presentation, from elementary ideas to cartoons to funny examples, and to follow the mind of an imaginative and creative mathematician into a world of enduring mathematical creations.
Author | : Jean-Pierre Serre |
Publisher | : CRC Press |
Total Pages | : 120 |
Release | : 2016-04-19 |
Genre | : Mathematics |
ISBN | : 1439865256 |
Download Topics in Galois Theory Book in PDF, ePub and Kindle
This book is based on a course given by the author at Harvard University in the fall semester of 1988. The course focused on the inverse problem of Galois Theory: the construction of field extensions having a given finite group as Galois group. In the first part of the book, classical methods and results, such as the Scholz and Reichardt constructi
Author | : Jörg Bewersdorff |
Publisher | : American Mathematical Soc. |
Total Pages | : 202 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 0821838172 |
Download Galois Theory for Beginners Book in PDF, ePub and Kindle
Galois theory is the culmination of a centuries-long search for a solution to the classical problem of solving algebraic equations by radicals. This book follows the historical development of the theory, emphasizing concrete examples along the way. It is suitable for undergraduates and beginning graduate students.
Author | : Dan Haran |
Publisher | : Springer Nature |
Total Pages | : 137 |
Release | : 2021-11-19 |
Genre | : Mathematics |
ISBN | : 3030891917 |
Download The Absolute Galois Group of a Semi-Local Field Book in PDF, ePub and Kindle
This book is devoted to the structure of the absolute Galois groups of certain algebraic extensions of the field of rational numbers. Its main result, a theorem proved by the authors and Florian Pop in 2012, describes the absolute Galois group of distinguished semi-local algebraic (and other) extensions of the rational numbers as free products of the free profinite group on countably many generators and local Galois groups. This is an instance of a positive answer to the generalized inverse problem of Galois theory. Adopting both an arithmetic and probabilistic approach, the book carefully sets out the preliminary material needed to prove the main theorem and its supporting results. In addition, it includes a description of Melnikov's construction of free products of profinite groups and, for the first time in book form, an account of a generalization of the theory of free products of profinite groups and their subgroups. The book will be of interest to researchers in field arithmetic, Galois theory and profinite groups.