Arithmetic and Geometry Around Galois Theory

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Sprache: Englisch

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Beschreibung

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.¿

Zusammenfassung

Provides the current states of affairs in geometric Galois theory in a number of lecture notes and survey papers

Includes introductory lecture notes on stacks

Establishes connections of Galois theory with moduli problems ?

Includes supplementary material: [...]

Inhaltsverzeichnis

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 ¿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.

Erscheinungsjahr:	2015
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xii 404 S.
ISBN-13:	9783034807906
ISBN-10:	3034807902
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Redaktion:	Dèbes, Pierre Uluda¿, A. Muhammed Romagny, Matthieu Emsalem, Michel
Herausgeber:	Pierre Dèbes/Michel Emsalem/Matthieu Romagny et al
Hersteller:	Springer Basel Springer Basel AG
Verantwortliche Person für die EU:	Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße:	235 x 155 x 23 mm
Von/Mit:	Pierre Dèbes (u. a.)
Erscheinungsdatum:	29.01.2015
Gewicht:	0,628 kg