Arithmetic and Geometry Around Galois Theory

• Corporate Author: SpringerLink (Online service)
• Other Authors: Db̈es, Pierre. (Editor), Emsalem, Michel. (Editor), Romagny, Matthieu. (Editor), Uluda (Editor)
• Format: Electronic
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhũser, 2013.
• Series: Progress in Mathematics ; 304
• Subjects: Mathematics.; Geometry, algebraic.; Field theory (Physics).; Group theory.; Algebraic Geometry.; Field Theory and Polynomials.; Group Theory and Generalizations.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-0348-0487-5

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 Gal...

Table of Contents:

• Preface
• J. Bertin: Algebraic stacks with a view toward moduli stacks of covers
• M. Romagny: Models of curves
• A. Cadoret: Galois categories:- M. Emsalem. Fundamental groupoid scheme
• N. Borne: Extension of Galois groups by solvable groups, and application to fundamental groups of curves
• M.A. Garuti: On the <U+001c>Galois closure for finite morphisms
• J.-C. Douai: Hasse Principle and Cohomology of Groups
• Z. Wojtkowiak: Periods of mixed Tate motives, examples, l-adic side
• L. Bary-Soroker and E. Paran: On totally ramified extensions of discrete valued fields
• R.-P. Holzapfel and M. Petkova: An Octahedral Galois-Reflection Tower of Picard Modular Congruence Subgroups.