The Grothendieck Festschrift, Volume I

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

• Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France

  Pierre Cartier

• Département de Mathématiques, Université de Paris-Sud, Orsay, France

  Luc Illusie, Gérard Laumon

• Department Mathematics, Princeton University, Princeton, USA

  Nicholas M. Katz

• Max-Planck Institut für Mathematik, Bonn, Germany

  Yuri I. Manin

• Department of Mathematics, University of California, Berkeley, USA

  Kenneth A. Ribet

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