The Grothendieck Festschrift

A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck

  • Pierre Cartier
  • Luc Illusie
  • Nicholas M. Katz
  • Gérard Laumon
  • Yuri I. Manin
  • Kenneth A. Ribet

Part of the Progress in Mathematics book series (MBC)

Table of contents

  1. Front Matter
    Pages N1-xx
  2. Allen B. Altman, Steven L. Kleiman
    Pages 15-32
  3. Michael Artin, John Tate, M. Van den Bergh
    Pages 33-85
  4. V. Balaji, C. S. Seshadri
    Pages 87-120
  5. A. A. Beilinson, A. B. Goncharov, V. V. Schechtman, A. N. Varchenko
    Pages 135-172
  6. Jean-Michel Bismut, Henri Gillet, Christophe Soulé
    Pages 249-331
  7. Spencer Bloch, Kazuya Kato
    Pages 333-400
  8. Lawrence Breen
    Pages 401-476
  9. Jean-Luc Brylinski
    Pages 477-498

About this book


The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendieck’s sixtieth birthday and originally published in 1990, were offered as a tribute to one of the world’s greatest living mathematicians. Grothendieck changed the very way we think about many branches of mathematics. Many of his ideas, revolutionary when introduced, now seem so natural as to have been inevitable. Indeed, it is difficult to fully grasp the influence his vast contributions to modern mathematics have subsequently had on new generations of mathematicians.

Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these top-notch contributors match the breadth of Grothendieck’s own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, K-theory, category theory, and homological algebra.

CONTRIBUTORS to Volume I: A. Altman; M. Artin; V. Balaji; A. Beauville; A.A. Beilinson; P. Berthelot; J.-M. Bismut; S. Bloch; L. Breen; J.-L. Brylinski; J. Dieudonné; H. Gillet; A.B. Goncharov; K. Kato; S. Kleiman; W. Messing; V.V. Schechtman; C.S. Seshadri; C. Soulé; J. Tate; M. van den Bergh; and A.N. Varchenko.


Algebraic topology Cohomology Grothendieck topology Homological algebra K-theory algebraic geometry category theory functional analysis homology moduli space number theory representation theory vector bundle

Editors and affiliations

  • Pierre Cartier
    • 1
  • Luc Illusie
    • 2
  • Nicholas M. Katz
    • 3
  • Gérard Laumon
    • 2
  • Yuri I. Manin
    • 4
  • Kenneth A. Ribet
    • 5
  1. 1.Institut des Hautes Études ScientifiquesBures-sur-YvetteFrance
  2. 2.Département de MathématiquesUniversité de Paris-SudOrsayFrance
  3. 3.Department MathematicsPrinceton UniversityPrincetonUSA
  4. 4.Max-Planck Institut für MathematikBonnGermany
  5. 5.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

Bibliographic information

  • DOI
  • Copyright Information Birkhäuser Boston 2007
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-8176-4566-3
  • Online ISBN 978-0-8176-4574-8
  • Series Print ISSN 2197-1803
  • Series Online ISSN 2197-1811
  • Buy this book on publisher's site