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

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

by Leila Schneps
     
 

ISBN-10: 0521596424

ISBN-13: 9780521596428

Pub. Date: 07/10/1997

Publisher: Cambridge University Press

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.

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Overview

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.

Product Details

ISBN-13:
9780521596428
Publisher:
Cambridge University Press
Publication date:
07/10/1997
Series:
London Mathematical Society Lecture Note Series, #242
Pages:
304
Product dimensions:
5.98(w) x 8.98(h) x 0.67(d)

Related Subjects

Table of Contents

1. Esquisse d'un programme A. Grothendieck; 2. Letter to Faltings A. Grothendieck; 3. The Algebraic fundamental group F. Oort; 4. Grothendieck's 'Long March through Galois Theory' L. Schneps; 5. Survey of the anabelian conjecture F. Pop; 6. Etale homotopy type of the moduli spaces of algebraic curves T. Oda; 7. Tame topology B. Teissier; 8. The obvious part of Belyi's theorem and Riemann surfaces with many automorphisms J. Wolfart; 9. Singularities of moduli spaces, Galois cartography and finite projective geometry V. Adrianov and G. Shabat; 10. π1 of moduli spaces at infinity P. Lochak; 11. Galois actions on higher genus mapping class groups H. Nakamura; 12. On GT L. Schneps; 13. On the GT action on covers D. Harbater and L. Schneps; 14. Two letters on non-abelian cohomology J.-P. Serre.

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