TY - BOOK AU - Schneps,Leila AU - Lochak,Pierre TI - Geometric Galois Actions T2 - London Mathematical Society Lecture Note Series SN - 9780511758874 (ebook) AV - QA564 .G463 1997 U1 - 516.3/5 21 PY - 1997/// CY - Cambridge PB - Cambridge University Press KW - Geometry, Algebraic KW - Moduli theory N1 - Title from publisher's bibliographic system (viewed on 16 Oct 2015) N2 - The first of two companion volumes on anabelian algebraic geometry, this book contains the famous, but hitherto unpublished manuscript 'Esquisse d'un Programme' (Sketch of a Program) by Alexander Grothendieck. This work, written in 1984, fourteen years after his retirement from public life in mathematics, together with the closely connected letter to Gerd Faltings, dating from 1983 and also published for the first time in this volume, describe a powerful program of future mathematics, unifying aspects of geometry and arithmetic via the central point of moduli spaces of curves; it is written in an artistic and informal style. The book also contains several articles on subjects directly related to the ideas explored in the manuscripts; these are surveys of mathematics due to Grothendieck, explanations of points raised in the Esquisse, and surveys on progress in the domains described there UR - http://dx.doi.org/10.1017/CBO9780511758874 ER -