This book surveys progress in the domains described in Grothendieck's seminal manuscript 'Esquisse d'un Programme'.
This book surveys progress in the domains described in the hitherto unpublished manuscript "Esquisse d'un Programme" (Sketch of a Program) by Alexander Grothendieck.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.
Daugiau informacijos
This book surveys progress in the domains described in Grothendieck's seminal manuscript 'Esquisse d'un Programme'.
Introduction vii Abstracts 1(12) Part I. Dessins denfants 13(106) Unicellular cartography and Galois orbits of plane trees 13(12) N. Adrianov G. Shabat Galois groups. monodromy groups and cartographic groups 25(42) G. Jones M. Streit Permutation techniques for coset representations of modular subgroups 67(12) T. Hsu Dessins denfants en genre 1 79(40) L. Zapponi Part II. Inverse Galois problem 119(60) The regular inverse Galois problem over large fields 119(20) P. Debes B. Deschamps The symplectic braid group and Galois realizations 139(12) K. Strambach H. Volklein Applying modular towers to the inverse Galois problem 151(28) M. Fried Y. Kopeliovich Part III. Galois actions, braids and mapping class groups 179(114) Galois group G(Q), singularity E(7) and moduli M(3) 179(40) M. Matsumoto Monodromy of iterated integrals and non-abelian unipotent periods 219(74) Z. Wojtkowiak Part IV. Universal Teichmuller theory 293 The universal Ptolemy group and its completions 293(20) R. Penner Sur lisomorphisme du groupe de Richard Thompson avec le groupe de Ptolemee 313(12) M. Imbert The universal Ptolemy-Teichmuller groupoid 325 P. Lochak L. Schneps
