It takes the average reader 2 hours and 53 minutes to read Cohomological Invariants in Galois Cohomology by Skip Garibaldi
Assuming a reading speed of 250 words per minute. Learn more
This volume is concerned with algebraic invariants, such as the Stiefel-Whitney classes of quadratic forms (with values in Galois cohomology mod 2) and the trace form of etale algebras (with values in the Witt ring). The invariants are analogues for Galois cohomology of the characteristic classes of topology. Historically, one of the first examples of cohomological invariants of the type considered here was the Hasse-Witt invariant of quadratic forms. The first part classifies such invariants in several cases. A principal tool is the notion of versal torsor, which is an analogue of the universal bundle in topology. The second part gives Rost's determination of the invariants of $G$-torsors with values in $H^3(\mathbb{Q}/\mathbb{Z}(2))$, when $G$ is a semisimple, simply connected, linear group. This part gives detailed proofs of the existence and basic properties of the Rost invariant. This is the first time that most of this material appears in print.
Cohomological Invariants in Galois Cohomology by Skip Garibaldi is 168 pages long, and a total of 43,344 words.
This makes it 57% the length of the average book. It also has 53% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 3 hours and 56 minutes to read Cohomological Invariants in Galois Cohomology aloud.
Cohomological Invariants in Galois Cohomology is suitable for students ages 10 and up.
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