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Geometric Galois Actions: Volume 2, The Inverse Galois Problem, Moduli Spaces and Mapping Class Groups Leila Schneps

Geometric Galois Actions: Volume 2, The Inverse Galois Problem, Moduli Spaces and Mapping Class Groups By Leila Schneps

Geometric Galois Actions: Volume 2, The Inverse Galois Problem, Moduli Spaces and Mapping Class Groups by Leila Schneps


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Summary

This book surveys progress in the domains described in the hitherto unpublished manuscript 'Esquisse d'un Programme' (Sketch of a Program) by Alexander Grothendieck.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.

Geometric Galois Actions: Volume 2, The Inverse Galois Problem, Moduli Spaces and Mapping Class Groups Summary

Geometric Galois Actions: Volume 2, The Inverse Galois Problem, Moduli Spaces and Mapping Class Groups by Leila Schneps

This book surveys progress in the domains described in the hitherto unpublished manuscript 'Esquisse d'un Programme' (Sketch of a Program) by Alexander Grothendieck.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.

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 Teichmuller Theory: 12. The universal Ptolemy group and its completions R. Penner; 13. Sur l'isomorphisme du groupe de Richard Thompson avec le groupe de Ptolemee M. Imbert, V. Sergiescu; 14. The universal Ptolemy-Teichmuller groupoid P. Lochak, L. Schneps.

Additional information

NLS9780521596411
9780521596411
0521596416
Geometric Galois Actions: Volume 2, The Inverse Galois Problem, Moduli Spaces and Mapping Class Groups by Leila Schneps
New
Paperback
Cambridge University Press
1997-08-07
360
N/A
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