ENGLISH

Topological Methods in Galois Representation Theory

Book information

Publisher
Dover Publications
Year
2014
ISBN
048649358X, 9780486493589
Language
english
Format
PDF
Filesize
22 MB (23240651 bytes)
Series
Dover Books on Mathematics
Edition
Reprint
Pages
299\317
Time added
2018-03-06 12:49:50

Description

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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