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Geometric and Differential Galois Theories
Edited by: Daniel Bertrand, Université Pierre et Marie Curie, Paris, France, Philip Boalch, École Normale Supérieure et CNRS, Paris, France, Jean-Marc Couveignes, Université Bordeaux I, Talence, France, and Pierre Dèbes, Université de Lille I, Villeneuve d'Ascq, France
A publication of the Société Mathématique de France.
Séminaires et Congrès
2013; 247 pp; softcover
Number: 27
ISBN-13: 978-2-85629-364-5
List Price: US$60
Member Price: US$48
Order Code: SECO/27
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On March 29-April 2, 2010, a meeting was organized at the Luminy CIRM (France) on geometric and differential Galois theories, to recognize the close ties these theories have woven in recent years. This volume contains the proceedings of this meeting. Although it may be viewed as a continuation of the meeting held six years earlier on arithmetic and differential Galois groups (see Groups de Galois Arithmétiques et Differentiels, Séminaires et Congrès, volume 13), several new and promising themes have appeared.

The articles gathered here cover the following topics: moduli spaces of connexions, differential equations and coverings in finite characteristic, liftings, monodromy groups in their various guises (tempered fundamental group, motivic groups, generalized difference Galois groups), and arithmetic applications.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.


Graduate students and research mathematicians interested in geometric and differential Galois theories.

Table of Contents

  • L. Bary-Soroker and F. Arno -- Open problems in the theory of ample fields
  • A. Buium -- Galois groups arising from arithmetic étale equations
  • A. Cadoret -- Motivated cycles under specialization
  • A. Cadoret and A. Tamagawa -- Note on torsion conjecture
  • F. Heiderich -- Introduction to the Galois theory of Artinian simple module algebras
  • E. Lepage -- Tempered fundamental group
  • F. Loray, M.-H. Saito, and C. Simpson -- Foliations on the moduli space of connections
  • B. Matzat -- Monodromy of Frobenius modules
  • A. Maurischat -- On the finite inverse problem in iterative étale Galois theory
  • A. Obus -- Toward Abhyankar's inertia conjecture for \(PSL{_2}(\ell)\)
  • M. Van Der Put -- Families of linear étale equations and the Painlevé equations
  • M. Wibmer -- On the Galois theory of strongly normal étale and difference extensions
  • Annexe A. Programme
  • Annexe B. Liste des participants
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