Authors:Pierre Cartier, Luc Illusie, Nicholas M. Katz, Gérard
Publisher: Birkhäuser Boston
Keywords: grothendieck, modern, alexander, birkhã¤user, classics, french, english, birthday, 60th, volume, festschrift, collection, articles, written, honor
Number of Pages: 518
Published: 2006-12-22
List price: $54.95
ISBN-10: 0817645667
ISBN-13: 9780817645663

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, categor

Author: Brian Conrad
Publisher: Springer
Keywords: notes, mathematics, lecture, change, duality, base, grothendieck
Number of Pages: 296
Published: 2001-01-12
List price: $74.95
ISBN-10: 3540411348
ISBN-13: 9783540411345

Text aiming to prove the hard unproven compatibilities in the foundations given Hartshorne’s Residues and Duality, particularly base change compatibility of the trace map. Should be seen as a companion to that volume, and not an independent or comprehensive treatment of the subjects therein. Softcover.

Author: Joerg Blatter
Publisher: Amer Mathematical Society
Keywords: american, mathematical, society, memoirs, theory, spaces, approximation, grothendieck
Number of Pages: 121
Published: 1972-06
List price: $18.00
ISBN-10: 0821818201
ISBN-13: 9780821818206

Authors:Joseph Lipman, Mitsuyasu Hashimoto,
Publisher: Springer
Keywords: lecture, notes, mathematics, schemes, diagrams, grothendieck, duality, foundations
Number of Pages: 488
Published: 2009-02-05
List price: $89.95
ISBN-10: 3540854193
ISBN-13: 9783540854197

The first part is a full exposition of the abstract foundations of Grothendieck duality theory for schemes (twisted inverse image, tor-independent base change,...), in part without noetherian hypotheses, and with some refinements for maps of finite tor-dimension. The ground is prepared by a lengthy treatment of the rich formalism of relations among the derived functors, for unbounded complexes over ringed spaces, of the sheaf functors tensor, hom, direct and inverse image. Included are enhancements, for quasi-compact quasi-separated schemes, of classical results such as the projection and Kün

Author: Leila Schneps
Publisher: Cambridge University Press
Keywords: society, lecture, series, mathematical, london, theory, dessins, enfants, grothendieck
Number of Pages: 380
Published: 1994-09-30
List price: $95.00
ISBN-10: 0521478219
ISBN-13: 9780521478212

The focus of this book is on combinatorial objects, dessins d’enfants, which are drawings with vertices and edges on topological surfaces. Their interest lies in their relation with the set of algebraic curves defined over the closure of the rationals, and the corresponding action of the absolute Galois group on them. The articles contained here unite basic elements of the subject with recent advances. Topics covered include: the explicity association of algebraic curves to dessins, the study of the action of the Galois group on the dessins, computation and combinatorics, relations with

Authors:Leila Schneps, Pierre Lochak,
Publisher: Cambridge University Press
Keywords: mathematical, london, society, lecture, series, programme, esquisse, galois, actions, volume, grothendieck, geometric
Number of Pages: 304
Published: 1997-07-28
List price: $84.00
ISBN-10: 0521596424
ISBN-13: 9780521596428

The first of two volumes on anabelian algebraic geometry, this book contains the famous manuscript "Esquisse d’un Programme" (Sketch of a Program) by Alexander Grothendieck. This work, written fourteen years after his retirement from public life in mathematics, includes the closely related letter to Gerd Faltings, published for the first time in this volume. Together these documents describe a powerful program of future mathematics, unifying aspects of geometry and arithmetic via the central point of moduli spaces of curves. The book is written in an artistic and informal style. It conta

Author: Jean-Pierre Serre, Catriona Maclean Pierre Colmez
Publisher: American Mathematical Society
Keywords: correspondence, serre, grothendieck
Number of Pages: 600
Published: 2003-12-16
List price: $72.00
ISBN-10: 082183424X
ISBN-13: 9780821834244

This extraordinary volume contains a large part of the mathematical correspondence between A. Grothendieck and J-P. Serre. It forms a vivid introduction to the development of algebraic geometry during the years 1955-1965. During this period, algebraic geometry went through a remarkable transformation, and Grothendieck and Serre were among central figures in this process. In the book, the reader can follow the creation of some of the most important notions of modern mathematics. The letters also reflect the mathematical and political atmosphere of this period. They are supplemented by J-P. S