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Geometric Galois Actions : Volume 1, Around Grothendieck's Esquisse D'un Programme: Geometric Galois Actions: Volume 1, Around Grothendieck's Esquisse d'un Programme Around Grothendieck's Esquisse D'un Programme v.1 - Alexander Grothendieck

Geometric Galois Actions

Volume 1, Around Grothendieck's Esquisse D'un Programme: Geometric Galois Actions: Volume 1, Around Grothendieck's Esquisse d'un Programme Around Grothendieck's Esquisse D'un Programme v.1

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Published: 8th September 1997
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The first of two volumes on anabelian algebraic geometry, this book contains the famous manuscript "Esquisse d'un Programme" (Sketch of a Program) by Alexander Grothendieck. This work, written fourteen years after his retirement from public life in mathematics, includes the closely related letter to Gerd Faltings, published for the first time in this volume. Together these documents describe a powerful program of future mathematics, unifying aspects of geometry and arithmetic via the central point of moduli spaces of curves. The book is written in an artistic and informal style. It contains several articles on subjects directly related to the ideas explored in the manuscripts, including surveys of mathematics due to Grothendieck, explanations of points raised in the Esquisse, and surveys on progress in the domains described there.

'These two volumes, containing both gentle introductions and research papers dealing with various aspects of Grothendieck's Esquisse, represent not only invaluable resources but also matiere ... rever.' Monatshefte fur Mathematik

Esquisse d'un programme
Letter to Faltings
The Algebraic fundamental group
Grothendieck's 'Long March through Galois Theory'
Survey of the anabelian conjecture
Etale homotopy type of the moduli spaces of algebraic curves
Tame topology
The obvious part of Belyi's theorem and Riemann surfaces with many automorphisms
Singularities of moduli spaces, Galois cartography and finite projective geometry
p1 of moduli spaces at infinity
Galois actions on higher genus mapping class groups
On GT
On the GT action on covers
Two letters on non-abelian cohomology
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521596428
ISBN-10: 0521596424
Series: London Mathematical Society Lecture Notes
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 304
Published: 8th September 1997
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.19  x 1.93
Weight (kg): 0.42