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Arithmetic and Geometry Around Galois Theory

Pierre Dèbes, Michel Emsalem, Matthieu Romagny, A. Muhammed Uludağ (Herausgeber)

Buch | Hardcover

XII, 404 Seiten

2012 | 2013
Springer Basel (Verlag)
978-3-0348-0486-8 (ISBN)

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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.

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.

Erscheint lt. Verlag	12.12.2012
Reihe/Serie	Progress in Mathematics
Zusatzinfo	XII, 404 p.
Verlagsort	Basel
Sprache	englisch
Maße	155 x 235 mm
Gewicht	744 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	fundamental group • Galois categories • Galois-Theorie • Hurwitz space • Inverse Galois theory • stacks
ISBN-10	3-0348-0486-5 / 3034804865
ISBN-13	978-3-0348-0486-8 / 9783034804868
Zustand	Neuware