The Grothendieck Festschrift [electronic resource] : A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck / edited by Pierre Cartier, Nicholas M. Katz, Yuri I. Manin, Luc Illusie, Gรฉrard Laumon, Kenneth A. Ribet
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 II: P. Cartier; C. Contou-Carrรจre; P. Deligne; T. Ekedahl; G. Faltings; J.-M. Fontaine; H. Hamm; Y. Ihara; L. Illusie; M. Kashiwara; V.A. Kolyvagin; R. Langlands; Lรฉ D.T.; D. Shelstad; and A. Voros
CONTENT
Une nouvelle interprรฉtation de la formule des traces de Selberg -- Jacobiennes gรฉnรฉralisรฉes globales relatives -- Catรฉgories tannakiennes -- On The Adic Formalism -- F-Isocrystals on Open Varieties Results and Conjectures -- Reprรฉsentations p-adiques des corps locaux (1รจre partie) -- Rectified Homotopical Depth and Grothendieck Conjectures -- Automorphisms of Pure Sphere Braid Groups and Galois Representations -- Ordinaritรฉ des intersections complรจtes gรฉnรฉrates -- Kazhdan-Lusztig Conjecture for A Symmetrizable Kac-Moody Lie Algebra -- Euler Systems -- Descent for Transfer Factors