**University Lecture Series**

Volume: 28;
2003;
168 pp;
Softcover

MSC: Primary 12; 11;

**Print ISBN: 978-0-8218-3287-5
Product Code: ULECT/28**

List Price: $44.00

AMS Member Price: $35.20

MAA Member Price: $39.60

**Electronic ISBN: 978-1-4704-2174-8
Product Code: ULECT/28.E**

List Price: $41.00

AMS Member Price: $32.80

MAA Member Price: $36.90

#### Supplemental Materials

# Cohomological Invariants in Galois Cohomology

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*Skip Garibaldi; Alexander Merkurjev; Jean-Pierre Serre*

This volume addresses algebraic invariants that occur in the
confluence of several important areas of mathematics, including number theory,
algebra, and arithmetic algebraic geometry. The invariants are analogues for
Galois cohomology of the characteristic classes of topology, which have been
extremely useful tools in both topology and geometry. It is hoped that these
new invariants will prove similarly useful. Early versions of the invariants
arose in the attempt to classify the quadratic forms over a given field.

The authors are well-known experts in the field. Serre, in particular, is
recognized as both a superb mathematician and a master author. His book on
Galois cohomology from the 1960s was fundamental to the development of the
theory. Merkurjev, also an expert mathematician and author, co-wrote The Book of Involutions
(Volume 44 in the AMS Colloquium Publications series), an important work that
contains preliminary descriptions of some of the main results on invariants
described here.

The book also includes letters between Serre and some of the principal
developers of the theory. It will be of interest to graduate students and
research mathematicians interested in number theory and Galois
cohomology.

#### Readership

Graduate students and research mathematicians interested in number theory and Galois cohomology.

#### Table of Contents

# Table of Contents

## Cohomological Invariants in Galois Cohomology

- Cover Cover11 free
- Title iii4 free
- Copyright iv5 free
- Contents v6 free
- Preface vii8 free
- Cohomological invariants, Witt invariants, and trace forms 110 free
- Rost invariants of simply connected algebraic groups 101110
- Bibliography 159168
- Index of notation 165174 free
- Index of terms 167176 free
- Back Cover Back Cover1178