A Gentle Course in Local Class Field Theory

A Gentle Course in Local Class Field Theory
Author: Pierre Guillot
Publisher: Cambridge University Press
Total Pages: 309
Release: 2018-11-01
Genre: Mathematics
ISBN: 1108386261


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This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. It opens with a discussion of several fundamental topics in algebra, such as profinite groups, p-adic fields, semisimple algebras and their modules, and homological algebra with the example of group cohomology. The book culminates with the description of the abelian extensions of local number fields, as well as the celebrated Kronecker–Weber theory, in both the local and global cases. The material will find use across disciplines, including number theory, representation theory, algebraic geometry, and algebraic topology. Written for beginning graduate students and advanced undergraduates, this book can be used in the classroom or for independent study.


A Gentle Course in Local Class Field Theory
Language: en
Pages: 309
Authors: Pierre Guillot
Categories: Mathematics
Type: BOOK - Published: 2018-11-01 - Publisher: Cambridge University Press

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This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. It opens with a discussion of several fun
A Gentle Course in Local Class Field Theory
Language: en
Pages: 309
Authors: Pierre Guillot
Categories: Mathematics
Type: BOOK - Published: 2018-11 - Publisher: Cambridge University Press

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A self-contained exposition of local class field theory for students in advanced algebra.
Local Class Field Theory
Language: en
Pages: 184
Authors: Kenkichi Iwasawa
Categories: History
Type: BOOK - Published: 1986 - Publisher: Oxford University Press, USA

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This readable introduction to local class field theory, a theory of algebraic extensions, covers such topics as abelian extensions. Almost self-contained, the b
Factorization Algebras in Quantum Field Theory
Language: en
Pages: 399
Authors: Kevin Costello
Categories: Mathematics
Type: BOOK - Published: 2017 - Publisher: Cambridge University Press

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This first volume develops factorization algebras with a focus upon examples exhibiting their use in field theory, which will be useful for researchers and grad
An Introduction To Quantum Field Theory
Language: en
Pages: 866
Authors: Michael E. Peskin
Categories: Science
Type: BOOK - Published: 2018-05-04 - Publisher: CRC Press

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An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics,