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A Gentle Course in Local Class Field Theory: Local Number Fields, Brauer Groups, Galois Cohomology, Pierre Guillot


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Автор: Pierre Guillot
Название:  A Gentle Course in Local Class Field Theory: Local Number Fields, Brauer Groups, Galois Cohomology
ISBN: 9781108421775
Издательство: Cambridge Academ
Классификация:



ISBN-10: 1108421776
Обложка/Формат: Hardcover
Страницы: 306
Вес: 0.69 кг.
Дата издания: 01.11.2018
Серия: Mathematics
Язык: English
Иллюстрации: Worked examples or exercises; 00 printed music items; 00 tables, unspecified; 00 tables, color; 00 tables, black and white; 00 plates, unspecified; 00 plates, color; 00 plates, black and white; 00 maps; 00 halftones, unspecified; 00 halftones, color;
Размер: 254 x 180 x 22
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Algebra,Number theory,Algebraic geometry,Algebraic topology, MATHEMATICS / Number Theory
Подзаголовок: Local number fields, brauer groups, galois cohomology
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание: This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. Written for beginning graduate students and advanced undergraduates, the material will find use across disciplines including number theory, representation theory, algebraic geometry, and algebraic topology.


Completion, ?ech and Local Homology and Cohomology

Автор: Schenzel
Название: Completion, ?ech and Local Homology and Cohomology
ISBN: 3319965166 ISBN-13(EAN): 9783319965161
Издательство: Springer
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Цена: 15372.00 р.
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Описание: The aim of the present monograph is a thorough study of the adic-completion, its left derived functors and their relations to the local cohomology functors, as well as several completeness criteria, related questions and various dualities formulas.

Gentle Course in Local Class Field Theory

Автор: Guillot Pierre
Название: Gentle Course in Local Class Field Theory
ISBN: 1108432247 ISBN-13(EAN): 9781108432245
Издательство: Cambridge Academ
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Цена: 4592.00 р.
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Описание: 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.

Central simple algebras and galois cohomology

Автор: Gille, Philippe Szamuely, Tamas
Название: Central simple algebras and galois cohomology
ISBN: 131660988X ISBN-13(EAN): 9781316609880
Издательство: Cambridge Academ
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Цена: 7128.00 р.
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Описание: The first comprehensive, modern introduction to a central field in modern algebra with connections to algebraic geometry, K-theory, and number theory. It proceeds from the basics to more advanced results, including the Merkurjev-Suslin theorem. It is ideal as a text for a graduate course and as a reference for researchers.

Galois Cohomology

Автор: P. Ion; Jean-Pierre Serre
Название: Galois Cohomology
ISBN: 364263866X ISBN-13(EAN): 9783642638664
Издательство: Springer
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Цена: 9781.00 р.
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Описание: This is an updated English translation of Cohomologie Galoisienne, published more than thirty years ago as one of the very first versions of Lecture Notes in Mathematics. It includes a reproduction of an influential paper by R. Steinberg, together with some new material and an expanded bibliography.

Brauer Groups, Hopf Algebras and Galois Theory

Автор: Stefaan Caenepeel
Название: Brauer Groups, Hopf Algebras and Galois Theory
ISBN: 1402003463 ISBN-13(EAN): 9781402003462
Издательство: Springer
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Цена: 10480.00 р.
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Описание: Devoted to the Brauer group of a commutative ring and related invariants. This volume includes the development of the theory of Grothendieck topologies and etale cohomology. It has a discussion of topics such as Gabber`s theorem and the theory of Taylor`s big Brauer group of algebras. It also offers the development of the Galois theory.

Cohomology of Number Fields

Автор: J?rgen Neukirch; Alexander Schmidt; Kay Wingberg
Название: Cohomology of Number Fields
ISBN: 3662517450 ISBN-13(EAN): 9783662517451
Издательство: Springer
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Цена: 18161.00 р.
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Описание: It is a textbook for students, as well as a reference book for the working mathematician, on cohomological topics in number theory. New material is introduced here on duality theorems for unramified and tamely ramified extensions as well as a careful analysis of 2-extensions of real number fields.

On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks

Автор: Lluis Puig
Название: On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks
ISBN: 3034897324 ISBN-13(EAN): 9783034897327
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Brauer had already introduced the defect of a block and opened the way towards a classification by solving all the problems in defects zero and one, and by providing some evidence for the finiteness of the set of blocks with a given defect.

Central Simple Algebras and Galois Cohomology

Автор: Philippe Gille, Tamas Szamuely
Название: Central Simple Algebras and Galois Cohomology
ISBN: 1107156378 ISBN-13(EAN): 9781107156371
Издательство: Cambridge Academ
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Цена: 12197.00 р.
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Описание: The first comprehensive, modern introduction to a central field in modern algebra with connections to algebraic geometry, K-theory, and number theory. It proceeds from the basics to more advanced results, including the Merkurjev-Suslin theorem. It is ideal as a text for a graduate course and as a reference for researchers.


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