Topological Methods in Galois Representation Theory

Nonfiction, Science & Nature, Mathematics, Number Theory
Cover of the book Topological Methods in Galois Representation Theory by Prof. Victor  P. Snaith, Dover Publications
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Author: Prof. Victor P. Snaith ISBN: 9780486782270
Publisher: Dover Publications Publication: December 3, 2013
Imprint: Dover Publications Language: English
Author: Prof. Victor P. Snaith
ISBN: 9780486782270
Publisher: Dover Publications
Publication: December 3, 2013
Imprint: Dover Publications
Language: English

This advanced monograph on Galois representation theory was written by one of the world's leading algebraists. Directed at mathematics students who have completed a graduate course in introductory algebraic topology, it offers a full treatment of the subject.
The first four chapters cover characteristic classes of Galois representations whose values lie in mod 2 Galois cohomology: abelian cohomology of groups, nonabelian cohomology of groups, characteristic classes of forms and algebras, and higher-dimensional characteristic classes of bilinear forms and Galois representations. Subsequent chapters explore stable homotopy and induced representations, explicit Brauer induction theory, and applications of explicit Brauer induction to Artin root numbers and local root numbers.

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This advanced monograph on Galois representation theory was written by one of the world's leading algebraists. Directed at mathematics students who have completed a graduate course in introductory algebraic topology, it offers a full treatment of the subject.
The first four chapters cover characteristic classes of Galois representations whose values lie in mod 2 Galois cohomology: abelian cohomology of groups, nonabelian cohomology of groups, characteristic classes of forms and algebras, and higher-dimensional characteristic classes of bilinear forms and Galois representations. Subsequent chapters explore stable homotopy and induced representations, explicit Brauer induction theory, and applications of explicit Brauer induction to Artin root numbers and local root numbers.

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