Geometric Galois Actions

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 Zusammenfassung This book surveys progress in the domains described in the hitherto unpublished manuscript 'Esquisse d'un Programme' (Sketch of a Program) by Alexander Grothendieck.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

Klappentext
This book surveys progress in the domains described in Grothendieck"s seminal manuscript "Esquisse d"un Programme."

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This book surveys progress in the domains described in the hitherto unpublished manuscript 'Esquisse d'un Programme' (Sketch of a Program) by Alexander Grothendieck.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

Inhalt
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.

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