The Grothendieck Festschrift, Volume III: A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck

ISBN-13: 9780817645687 / Angielski / Miękka / 2006 / 495 str.

Pierre Cartier; Luc Illusie; Nicholas M. Katz

Opis

This three-volume work contains articles collected on the occasion of Alexander Grothendieck s sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world s greatest living 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."

Spis treści

A. Lascoux: Anneau de Grothendieck de la variété de drapeaux S. Lichtenbaum: New Results on Weight-Two Motivic Cohomology G. Lusztig: Symmetric Spaces over a Finite Field Z. Mebkhout: Le théorème de positivité de l'irrégularité pour les Dx-modules A. Ogus: The Convergent Topos in Characteristic p A.N. Parshin: Finiteness Theorems and Hyperbolic Manifolds M. Raynaud: p-groupes et réduction semi-stable des courbes G.B. Shabat and V.A. Voevodsky: Drawing Curves Over Number Fields L. Szpiro: Sur les propriétés numériques du dualisant relatif d'une surface arithmétique R.W. Thomason and T. Trobaugh: Higher Algebraic K-Theory of Schemes and of Derived Categories A. Treibich et J.-L. Verdier (with an Appendix by J. Oesterlé): Solitons elliptiques Yu.G. Zarhin: Linear Simple Lie Algebras and Ranks of Operators

Blurb

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.