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Arithmetic and Geometry Around Galois Theory de Pierre Dèbes

Arithmetic and Geometry Around Galois Theory: Progress in Mathematics, cartea 304

Editat de Pierre Dèbes, Michel Emsalem, Matthieu Romagny, A. Muhammed Uludağ
en Limba Engleză Hardback – 12 dec 2012
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.​
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Specificații

ISBN-13: 9783034804868
ISBN-10: 3034804865
Pagini: 416
Ilustrații: XII, 404 p.
Dimensiuni: 155 x 235 x 28 mm
Greutate: 0.76 kg
Ediția:2013
Editura: Springer
Colecția Birkhäuser
Seria Progress in Mathematics

Locul publicării:Basel, Switzerland

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

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: sn.pub/extras