This book surveys progress in the domains described in the hitherto unpublished manuscript "Esquisse d'un Programme" (Sketch of a Program) by Alexander Grothendieck.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.
Author(s): Leila Schneps, Pierre Lochak
Series: London Mathematical Society Lecture Note Series
Publisher: Cambridge University Press
Year: 1997
Language: English
Pages: 360
Cover......Page 1
Geometric Galois Actions Volume 2: The Inverse Galois Problem, Moduli Spaces and Mapping Class Groups......Page 4
9780521596411......Page 5
Table of Contents......Page 6
Introduction......Page 8
Abstracts of the talks......Page 12
Part I. Dessins d'enfants......Page 22
Unicellular Cartography and Galois Orbits of Plane Trees......Page 24
Galois Groups, Monodromy Groups and Cartographic Groups......Page 36
Permutation techniques for coset representations of modular subgroups......Page 78
Dessins d'enfants en genre 1......Page 90
Part II. The Inverse Galois Problem......Page 128
The Regular Inverse Galois Problem over Large Fields......Page 130
The Symplectic Braid Group and Galois Realizations......Page 150
Applying Modular Towers to the Inverse Galois Problem......Page 162
Part III. Galois actions and mapping class groups......Page 188
Galois group G_{mathbb{Q}}, Singularity E_7, and Moduli M_3......Page 190
Monodromy of Iterated Integrals and Non-abelian Unipotent Periods......Page 230
Part IV. Universal Teichmuller theory......Page 302
The Universal Ptolemy Group and Its Completions......Page 304
Sur l'isomorphisme du groupe de Richard Thompson avec le groupe de Ptolemee......Page 324
The universal Ptolemy-Teichmuller groupoid......Page 336
Errata for Tame and stratified objects (This article appeared in volume I of Geometric Galois Actions)......Page 360
