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TitleThe Grothendieck Festschrift [electronic resource] : A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck / edited by Pierre Cartier, Luc Illusie, Nicholas M. Katz, Gรฉrard Laumon, Yuri I. Manin, Kenneth A. Ribet
ImprintBoston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 1990
Connect tohttp://dx.doi.org/10.1007/978-0-8176-4576-2
Descript VII, 495 p. online resource

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


CONTENT

Anneau de Grothendieck de la variรฉtรฉ de drapeaux -- New Results on Weight-Two Motivic Cohomology -- Symmetric Spaces over a Finite Field -- Le thรฉorรจme de positivitรฉ de l'irrรฉgularitรฉ pour les -modules -- The Convergent Topos in Characteristic p -- Finiteness Theorems and Hyperbolic Manifolds -- p-groupes et rรฉduction semi-stable des courbes -- Drawing Curves Over Number Fields -- Sur les propriรฉtรฉs numรฉriques du dualisant relatif d'une surface arithmรฉthique -- Higher Algebraic K-Theory of Schemes and of Derived Categories -- Solitons elliptiques -- Linear Simple Lie Algebras and Ranks of Operators


Mathematics Algebraic geometry Category theory (Mathematics) Homological algebra K-theory Functional analysis Number theory Algebraic topology Mathematics Algebraic Geometry Functional Analysis Algebraic Topology Number Theory Category Theory Homological Algebra K-Theory



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