**CRM Monograph Series**

Volume: 19;
2003;
170 pp;
Hardcover

MSC: Primary 14; 52; 15;
**Print ISBN: 978-0-8218-3358-2
Product Code: CRMM/19**

List Price: $52.00

Individual Member Price: $41.60

#### Supplemental Materials

# Chirurgie des grassmanniennes

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*L. Lafforgue*

A co-publication of the AMS and Centre de Recherches Mathématiques

The AMS now makes available this succinct and quite elegant research
monograph written by Fields Medalist and eminent researcher, Laurent
Lafforgue. The material is an outgrowth of Lafforgue's lectures and
seminar at the Centre de Recherches Mathématiques (University
of Montréal, QC, Canada), where he held the 2001–2002
Aisenstadt Chair.

In the book, he addresses an important recurrent theme of modern
mathematics: the various compactifications of moduli spaces, which have
a large number of applications. This book treats the case of thin
Schubert varieties, which are natural subvarieties of Grassmannians. He
was led to these questions by a particular case linked to his work on
the Langlands program. In this monograph, he develops the theory in a
more systematic way, which exhibits strong similarities with the case of
moduli of stable curves.

Prerequisites are minimal and include basic algebraic geometry, and standard
facts about Grassmann varieties, their Plücker embeddings, and toric varieties.
The book is suitable for advanced graduate students and research mathematicians
interested in the classification of moduli spaces.

Titles in this series are co-published with the Centre de Recherches Mathématiques.

#### Table of Contents

# Table of Contents

## Chirurgie des grassmanniennes

#### Readership

Graduate students and researchers interested in algebra and algebraic geometry.

#### Reviews

The author develops the whole theory around this specific compactification problem in an extremely systematic, detailed, rigorous, comprehensible and enlightening manner … which makes this research monograph also a unique reference book for this particular topic … of great importance in geometric classification, which is designed and accessible for experienced researchers … a masterpiece of contemporary research in compactification theory, and a true delicacy for adepted specialists … The actual significance and utility of the theory presented here will become manifest in the course of the further developments in this field of research.

-- Zentralblatt MATH