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 Modern Birkhäuser Classics book series (volume 88)

Table of contents

  1. Front Matter
    Pages N1-vii
  2. George Lusztig
    Pages 57-81
  3. Arthur Ogus
    Pages 133-162
  4. A. N. Parshin
    Pages 163-178
  5. G. B. Shabat, V. A. Voevodsky
    Pages 199-227
  6. R. W. Thomason, Thomas Trobaugh
    Pages 247-435
  7. A. Treibich, J.-L. Verdier
    Pages 437-480

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 III: A. Lascoux; S. Lichtenbaum; G. Lusztig; Z. Mebkhout; A. Ogus; A.N. Parshin; M. Raynaud; G.B. Shabat; L. Szpiro; R. Thomason; A. Treibich; T.F. Trobaugh; J.-L. Verdier; V.A. Voevodsky; and Y.G. Zarhin.


Algebraic K-theory Algebraic topology Cohomology Grothendieck topology Homological algebra K-theory algebraic geometry category theory finite field functional analysis homology number theory representation theory

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 of 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 Springer Book Archive
  • Print ISBN 978-0-8176-4568-7
  • Online ISBN 978-0-8176-4576-2
  • Series Print ISSN 2197-1803
  • Series Online ISSN 2197-1811
  • Buy this book on publisher's site
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