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Geometric Galois Actions

Geometric Galois Actions

Volume 2. The Inverse Galois Problem, Moduli Spaces and Mapping Class Groups


Part of London Mathematical Society Lecture Note Series

G. Jones, M. Streit, L. Zapponi, T.Hsu, P. Debes, B. Deschamps, M. Fried, H. Strambach, H. Volklein, Y. Ihara, H. Nakamura, M. Matsumoto, Z. Wojtkowiak, M. Imbert, V. Sergiescu, R. Penner, P. Lochak, L. Schneps
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  • Date Published: August 1997
  • availability: Available
  • format: Paperback
  • isbn: 9780521596411

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About the Authors
  • This book surveys progress in the domains described in the hitherto unpublished manuscript 'Esquisse d'un Programme' (Sketch of a Program) by Alexander Grothendieck. It will be of wide interest amongst workers in algebraic geometry, number theory, algebra and topology.

    • Unique publication of two manuscripts by Grothendieck
    • Opening of new domains in mathematics
    • Introductory clarifying texts
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    Product details

    • Date Published: August 1997
    • format: Paperback
    • isbn: 9780521596411
    • length: 360 pages
    • dimensions: 229 x 20 x 152 mm
    • weight: 0.53kg
    • availability: Available
  • Table of Contents

    List of participants
    Abstracts of the talks
    Part I. Introduction: Part II. Abstracts: Part III. Dessins d'enfants:
    1. Unicellular cartography and Galois orbits of plane trees N. Adrianov, G. Shabat
    2. Galois groups, monodromy groups and cartographical groups G. Jones, M. Streit
    3. Drawings, triangle groups and algebraic curves W. Harvey
    4. Permutation techniques for coset representations of modular subgroups T. Hsu
    5. On groups acting on dessin-labeled objects V. Shabat
    6. Dessins d'enfants en genre 1 L. Zapponi
    Part IV. Inverse Galois Problem:
    7. The regular inverse Galois problem over large fields P. Debes, B. Deschamps
    8. The symplectic braid group and Galois realizations K. Strambach, H. Volklein
    9. Obstructed components of A5 modular towers M. Fried, Y. Kopeliovic
    Part V. Galois Actions And Mapping Class Groups:
    10. Monodromy of iterated integrals (non-Abelian unipotent periods) Z. Wojtkowiak
    11. Deformation of singularities and mapping class groups M. Matsumoto
    Part VI. Universal Teichmüller Theory:
    12. The universal Ptolemy group and its completions R. Penner
    13. Sur l'isomorphisme du groupe de Richard Thompson avec le groupe de Ptolémée M. Imbert, V. Sergiescu
    14. The universal Ptolemy–Teichmuller groupoid P. Lochak, L. Schneps.

  • Editors

    Leila Schneps, Universite de Paris

    Pierre Lochak, Centre National de la Recherche Scientifique (CNRS), Paris


    G. Jones, M. Streit, L. Zapponi, T.Hsu, P. Debes, B. Deschamps, M. Fried, H. Strambach, H. Volklein, Y. Ihara, H. Nakamura, M. Matsumoto, Z. Wojtkowiak, M. Imbert, V. Sergiescu, R. Penner, P. Lochak, L. Schneps

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