Arithmetic and geometry around Galois theory Pierre Dèbes [and others], editors

Format:

Book

Contributor:

Dèbes, Pierre

Series:

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

Progress in mathematics v. 304

Language:

English

Subjects (All):

Galois theory.

Arithmetic.

Geometry.

arithmetic.

geometry.

Physical Description:

1 online resource

Place of Publication:

Basel New York Springer ©2013

Language Note:

English

System Details:

text file

PDF

Summary:

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

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 Jean-Claude Douai Periods of Mixed Tate Motives, Examples, l-adic Side Zdzisłlaw Wojtkowiak On Totally Ramified Extensions of Discrete Valued Fields Lior Bary-Soroker, Elad Paran An Octahedral Galois-Reflection Tower of Picard Modular Congruence Subgroups Rolf-Peter Holzapfel, Maria Petkova

Notes:

Print version record

Includes bibliographical references

Other Format:

Print version Arithmetic and geometry around Galois theory lecture notes

ISBN:

9783034804875

3034804873

1283934647

9781283934640

OCLC:

822977153

Access Restriction:

Restricted for use by site license