Galois Cohomology and Class Field Theory by David Harari
Local fields and local class field theory, including Lubin-Tate formal group laws, are covered next, followed by global class field theory and the description of abelian extensions of global fields.-
Linear Functional Analysis
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An Introduction to Manifolds
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Riemannian Geometry
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Galois Theory
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Symbolic Dynamics
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Stochastic Calculus
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Modern Analysis and Topology
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Geometry I
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Mathematical Gauge Theory
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Nonlinear Differential Equations and Dynamical Systems
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Mathematical Analysis I
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Differential Forms and Applications
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Introduction to Partial Differential Equations
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Geometry
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From Elementary Probability to Stochastic Differential Equations with MAPLE (R)
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Applied Stochastic Control of Jump Diffusions
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Probability Essentials
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Real Algebra
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Stochastic Differential Equations
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A Polynomial Approach to Linear Algebra
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Elements of Functional Analysis
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Selected Topics in Partial Differential Equations
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The Essentials of Measure Theory
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On the Theory of Maass Wave Forms
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Potential Theory
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Fluctuations of Levy Processes with Applications
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Discrete Mathematics
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Automorphic Forms
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Matrix Theory
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Frontiers of Numerical Analysis
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Spectra of Graphs
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Polyhedral and Algebraic Methods in Computational Geometry
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Theory and Numerics of Differential Equations
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Dynamical Systems
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A Course on Tug-of-War Games with Random Noise
“This book is a very good textbook for studying important roles of Galois cohomology in algebraic number theory …This book consists of four parts, and the chapters are well constructed. … Examples and exercises are also well selected and interesting. This English translation is also very useful not only for students but also for researchers who study algebraic number theory in modern mathematical language, such as that of category theory or homological algebra.” (Yasushi Mizusawa, Mathematical Reviews, April, 2022)
“For students with no prior understanding of class field theory, the book is ideal. It is self-contained, and is based on a concatenation of master’s level courses given by the author. … his book seamlessly stitches together all the components in a neat and lucid manner. The whole process of learning this classical theory from Harari’s book makes it a painless and enjoyable experience. … The author takes a lot of care to make illuminating remarks in each chapter …” (Balasubramanian Sury, zbMATH 1466.11086, 2021)
“For students with no prior understanding of class field theory, the book is ideal. It is self-contained, and is based on a concatenation of master’s level courses given by the author. … his book seamlessly stitches together all the components in a neat and lucid manner. The whole process of learning this classical theory from Harari’s book makes it a painless and enjoyable experience. … The author takes a lot of care to make illuminating remarks in each chapter …” (Balasubramanian Sury, zbMATH 1466.11086, 2021)
David Harari is a professor at the Université Paris-Sud (Orsay). He is a specialist in arithmetic and algebraic geometry, author of 40 research papers in these fields.
| SKU | Unavailable |
| ISBN 13 | 9783030439002 |
| ISBN 10 | 3030439003 |
| Title | Galois Cohomology and Class Field Theory |
| Author | David Harari |
| Series | Universitext |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer Nature Switzerland AG |
| Year published | 2020-06-24 |
| Number of pages | 338 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |