The 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, GȨrard Laumon, Yuri I. Manin, Kenneth A. Ribet.

De LAnalyse Fonctionnelle aux Fondements de la GȨomȨtrie AlgȨbrique -- The presentation functor and the compactifled Jacobian -- Some Algebras Associated to Automorphisms of Elliptic Curves -- Cohomology of a Moduli Space of Vector Bundles -- Sur les hypersurfaces dont les sections hyperplanes sont module constant -- Aomoto Dilogarithms, Mixed Hodge Structures and Motivic Cohomology of Pairs of Triangles on the Plane -- ThȨorie de DieudonnȨ cristalline III: thȨorȿmes dȨquivalence et de pleine fidȨlitȨ -- Complex Immersions and Arakelov Geometry -- L-Functions and Tamagawa Numbers of Motives -- Bitorseurs et Cohomologie Non AbȨlienne -- Non-commutative Ruelle-Sullivan type currents.

The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendiecks sixtieth birthday and originally published in 1990, were offered as a tribute to one of the worlds 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 Grothendiecks 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. DieudonnȨ; H. Gillet; A.B. Goncharov; K. Kato; S. Kleiman; W. Messing; V.V. Schechtman; C.S. Seshadri; C. SoulȨ; J. Tate; M. van den Bergh; and A.N. Varchenko.

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