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

ISBN-13: 9780817645670 / Angielski / Miękka / 2006 / 564 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

P. Cartier et A. Voros: Une nouvelle interprétation de la formule des traces de Selberg C. Contou-Carrère: Jacobiennes généralisées globales relatives P. Deligne: Catégories tannakiennes T. Ekedahl: On the Adic Formalism G. Faltings: F-Isocrystals on Open Varieties: Results and Conjectures J.-M. Fontaine: Représentations p-adiques des corps locaux H.A. Hamm and Lé D.T.: Rectified Homotopical Depth and Grothendieck Conjectures Y. Ihara: Automorphisms of Pure Sphere Braid Groups and Galois Representations L. Illusie: Ordinarité des intersections complètes générales 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

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 II: P. Cartier; C. Contou-Carrère; P. Deligne; T. Ekedahl; G. Faltings; J.-M. Fontaine; H. Hamm; Y. Ihara; L. Illusie; M. Kashiwara; V.A. Kolyvagin; R. Langlands; Lé D.T.; D. Shelstad; and A. Voros.