The Grothendieck Festschrift

by Cartier, P.; Illusie, L.; Katz, N. M.; Laumon, G.; Manin, Yu. I.

• ISBN13: 9780817645687
• ISBN10: 0817645683
• Format: Paperback
• Copyright: 2006-12-15
• Publisher: Birkhauser

Summary

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.

Table of Contents

Anneau de Grothendieck de la variete de drapeaux	p. 1
New Results on Weight-Two Motivic Cohomology	p. 35
Symmetric Spaces over a Finite Field	p. 57
Le theoreme de positivite de l'irregularite pour les D[subscript X]-modules	p. 83
The Convergent Topos in Characteristic p	p. 133
Finiteness Theorems and Hyperbolic Manifolds	p. 163
p-groupes et reduction semi-stable des courbes	p. 179
Drawing Curves Over Number Fields	p. 199
Sur les proprietes numeriques du dualisant relatif d'une surface arithmetique	p. 229
Higher Algebraic K-Theory of Schemes and of Derived Categories	p. 247
Solitons elliptiques	p. 437
Linear Simple Lie Algebras and Ranks of Operators	p. 481
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