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Geometric Galois Actions

Volume 1. Around Grothendieck's Esquisse d'un Programme

$103.00 (C)

Part of London Mathematical Society Lecture Note Series

Editors:
Leila Schneps, Centre National de la Recherche Scientifique (CNRS), Paris
Pierre Lochak, Centre National de la Recherche Scientifique (CNRS), Paris

A. Grothendieck, F. Oort, L. Schneps, F. Pop, T. Oda, B. Teissier, J. Wolfart, V. Adrianov, G. Shabat, P. Lochak, H. Nakamura, D. Harbater, J.-P. Serre

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Date Published: July 1997
availability: Available
format: Paperback
isbn: 9780521596428

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About the Authors

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.
- Unique publication of two manuscripts by Grothendieck
- Opens new domains in mathematics
- Introductory clarifying texts
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Reviews & endorsements
'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 matière à rêver.' Monatshefte für Mathematik

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Product details
- Date Published: July 1997
- format: Paperback
- isbn: 9780521596428
- length: 304 pages
- dimensions: 229 x 153 x 20 mm
- weight: 0.502kg
- contains: 1 b/w illus.
- availability: Available
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.
Editors
Leila Schneps, Centre National de la Recherche Scientifique (CNRS), Paris
Pierre Lochak, Centre National de la Recherche Scientifique (CNRS), Paris
Contributors
A. Grothendieck, F. Oort, L. Schneps, F. Pop, T. Oda, B. Teissier, J. Wolfart, V. Adrianov, G. Shabat, P. Lochak, H. Nakamura, D. Harbater, J.-P. Serre