Geometric Galois Actions
Geometric Galois Actions
Volume 2: The Inverse Galois Problem, Moduli Spaces and Mapping Class Groups
Leila Schneps, Universite de Paris
Pierre Lochak, Centre National de la Recherche Scientifique (CNRS), Paris
Pierre Lochak, Centre National de la Recherche Scientifique (CNRS), Paris
September 1997
2. The Inverse Galois Problem, Moduli Spaces and Mapping Class Groups
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This book surveys progress in the domains described in the hitherto unpublished manuscript "Esquisse d'un Programme" (Sketch of a Program) by Alexander Grothendieck.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 among 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
Product details
September 1997Paperback
9780521596411
360 pages
228 × 153 × 21 mm
0.485kg
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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.
