Around Grothendieck's esquisse d'un programme

edited by Leila Schneps and Pierre Lochak

The first of two companion volumes on anabelian algebraic geometry, this book contains the famous, but hitherto unpublished manuscript 'Esquisse d'un Programme' (Sketch of a Program) by Alexander Grothendieck.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.

「Nielsen BookData」より

[目次]

  • 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. pi1 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.

「Nielsen BookData」より

この本の情報

書名 Around Grothendieck's esquisse d'un programme
著作者等 Grothendieck, Alexandre
Lochak, P.
Schneps, Leila
Hitchin N.J.
Lochak Pierre
Grothendieck Alexander
書名別名 Sketch of a program
シリーズ名 London Mathematical Society lecture note series
出版元 Cambridge University Press
刊行年月 1997
ページ数 293 p.
大きさ 23 cm
ISBN 0521596424
NCID BA31073647
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言語 フランス語
ドイツ語
英語
出版国 イギリス
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