The inverse Galois problem, moduli spaces and mapping class groups
著者
書誌事項
The inverse Galois problem, moduli spaces and mapping class groups
（London Mathematical Society lecture note series, 243 . Geometric Galois actions ; 2）
Cambridge University Press, 1997
- : pbk
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注記
Text in English; with contributions in French
Includes references
"This volume grew out of the conference which was held at Luminy in August 1995 on the theme "Geometry and Arithmetic of Moduli Spaces""
内容説明・目次
内容説明
This book surveys progress in the domains described in the hitherto unpublished manuscript 'Esquisse d'un Programme' (Sketch of a Program) by Alexander Grothendieck.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.
目次
- 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.
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