Arithmetic and Geometry Around Galois Theory

  • Pierre Dèbes
  • Michel Emsalem
  • Matthieu Romagny
  • A. Muhammed Uludağ
Conference proceedings

Part of the Progress in Mathematics book series (PM, volume 304)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Matthieu Romagny
    Pages 149-170
  3. Anna Cadoret
    Pages 171-246
  4. Michel Emsalem
    Pages 247-286
  5. Marco A. Garuti
    Pages 305-325
  6. Jean-Claude Douai
    Pages 327-335
  7. Zdzisłlaw Wojtkowiak
    Pages 337-369
  8. Lior Bary-Soroker, Elad Paran
    Pages 371-376
  9. Rolf-Peter Holzapfel, Maria Petkova
    Pages 377-401

About these proceedings

Introduction

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.

Keywords

Fundamental group Galois categories Hurwitz space Inverse Galois theory Stacks

Editors and affiliations

  • Pierre Dèbes
    • 1
  • Michel Emsalem
    • 2
  • Matthieu Romagny
    • 3
  • A. Muhammed Uludağ
    • 4
  1. 1., Laboratoire Paul PainlevéUniversité Lille 1Villeneuve d'Ascq CédexFrance
  2. 2., Laboratoire Paul PainlevéUniversité Lille 1Villeneuve d'Ascq CédexFrance
  3. 3., Institut de Recherche Mathématique de ReUniversité Rennes 1Rennes CedexFrance
  4. 4., Department of MathematicsGalatasaray UniversityBeşiktaş, İstanbulTurkey

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-0487-5
  • Copyright Information Springer Basel 2013
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-0348-0486-8
  • Online ISBN 978-3-0348-0487-5
  • Series Print ISSN 0743-1643
  • Series Online ISSN 2296-505X
  • About this book