Description 
1 online resource 
Series 
Progress in mathematics ; v. 304 

Progress in mathematics (Boston, Mass.) ; v. 304

Contents 
Algebraic Stacks with a View Toward Moduli Stacks of Covers / José Bertin  Models of Curves / Matthieu Romagny  Galois Categories / Anna Cadoret  Fundamental Groupoid Scheme / Michel Emsalem  Extension of Galois Groups by Solvable Groups, and Application to Fundamental Groups of Curves / Niels Borne  On the "Galois Closure" for Finite Morphisms / Marco A. Garuti  Hasse Principle and Cohomology of Groups / JeanClaude Douai  Periods of Mixed Tate Motives, Examples, ladic Side / Zdzisłlaw Wojtkowiak  On Totally Ramified Extensions of Discrete Valued Fields / Lior BarySoroker, Elad Paran  An Octahedral GaloisReflection Tower of Picard Modular Congruence Subgroups / RolfPeter Holzapfel, Maria Petkova 
Summary 
This Lecture Notes volume is the fruit of two researchlevel 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 
Notes 
Print version record 
Subject 
Galois theory.


Arithmetic.


Geometry.

Form 
Electronic book

Author 
Dèbes, Pierre.

ISBN 
3034804873 (electronic bk.) 

9783034804875 (electronic bk.) 
