The Grothendieck Festschrift : a collection of articles written in honor of the 60th birthday of Alexander Grothendieck

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The Grothendieck Festschrift : a collection of articles written in honor of the 60th birthday of Alexander Grothendieck

P. Cartier ... [et al.], editors

（Progress in mathematics, v. 86-88）

Birkhäuser, 1990

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  • v. 2 : us
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  • v. 3 : us
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Note

Editors: P. Cartier, L. Illusie, N.M. Katz, G. Laumon, Y. Manin, K.A. Ribet

English and French

"Bibliographie d'Alexander Grothendieck": v. 1, p. [xiii]-xx

Includes bibliographical references

Description and Table of Contents

Volume

v. 1 : us ISBN 9780817634278

Description

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.

Table of Contents

Foreword Bibliographie d'Alexander Grothendieck J. Dieudonne: De L'Analyse Fonctionnelle aux Fondements de la Geometrie Algebrique A.B. Altman and S.L. Kleiman: The Presentation Functor and the Compactified Jacobian M. Artin, J. Tate, and M. van den Bergh: Some Algebras Associated to Automorphisms of Elliptic Curves V. Balaji and C.S. Seshadri: Cohomology of a Moduli Space of Vector Bundles A. Beauville: Sur les Hypersurfaces dont les Sections Hyperplanes sont a Module Constant A.A. Beilenson, A.B. Goncharov, V.V. Schechtman, and A.N. Varchenko: Aomoto Dilogarithms, Mixed Hodge Structures, and Motivic Cohomology of Pairs of Triangles on the Plane P. Berthelot and W. Messing: Theorie de Dieudonne Cristalline III: Theoremes d'Equivalence et de Pleine Fidelite J.-M. Bismut, H. Gillet, and C. Soule: Complex Immersions and Arakelov Geometry S. Bloch and K. Kato: L-Functions and Tamagawa Numbers of Motives L. Breen: Bitorseurs et Cohomologie Non Abelienne J.-L. Brylinski: Non-commutative Ruelle-Sullivan Type Currents
Volume

v. 2 : us ISBN 9780817634285

Description

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.

Table of Contents

P. Cartier et A. Voros: Une nouvelle interpretation de la formule des traces de Selberg C. Contou-Carrere: Jacobiennes generalisees globales relatives P. Deligne: Categories tannakiennes T. Ekedahl: On the Adic Formalism G. Faltings: F-Isocrystals on Open Varieties: Results and Conjectures J.-M. Fontaine: Representations p-adiques des corps locaux H.A. Hamm and Le D.T.: Rectified Homotopical Depth and Grothendieck Conjectures Y. Ihara: Automorphisms of Pure Sphere Braid Groups and Galois Representations L. Illusie: Ordinarite des intersections completes generales M. Kashiwara: Kazhdan-Lusztig Conjecture for a Symmetrizable Kac-Moody Lie Algebra V.A. Kolyvagin: Euler Systems R. Langlands and D. Shelstad: Descent for Transfer Factors
Volume

v. 3 : us ISBN 9780817634872

Description

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.

Table of Contents

A. Lascoux: Anneau de Grothendieck de la variete de drapeaux S. Lichtenbaum: New Results on Weight-Two Motivic Cohomology G. Lusztig: Symmetric Spaces over a Finite Field Z. Mebkhout: Le theoreme de positivite de l'irregularite 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 reduction semi-stable des courbes G.B. Shabat and V.A. Voevodsky: Drawing Curves Over Number Fields L. Szpiro: Sur les proprietes numeriques du dualisant relatif d'une surface arithmetique 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. Oesterle): Solitons elliptiques Yu.G. Zarhin: Linear Simple Lie Algebras and Ranks of Operators
Volume

v. 1 : sz ISBN 9783764334277

Description

This text collects together a number of articles about the life and work of mathematician, Alexander Grothendieck.

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