Yuri I. Manin

Nicholas M. Katz

Pierre Cartier

Luc Illusie

Gérard Laumon

Kenneth A. Ribet

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.

A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck

The Grothendieck Festschrift, Volume II

The Grothendieck Festschrift, Volume I

Chris Peters

José Bertin

Jean-Pierre Demailly

Hodge theory is a powerful tool in analytic and algebraic geometry. This book consists of expositions of aspects of modern Hodge theory, with the purpose of providing the nonexpert reader with a clear idea of the current state of the subject. The three main topics are: $L^2$ Hodge theory and vanishing theorems; Hodge theory in characteristic $p$; and variations of Hodge structures and mirror symmetry. Each section has a detailed introduction and numerous references. Many open problems are also included. The reader should have some familiarity with differential and algebraic geometry, with other prerequisites varying by chapter. The book is suitable as an accompaniment to a second course in algebraic geometry.

Introduction to Hodge Theory

The Grothendieck Festschrift, Volume III

Luc Illusie

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