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An Introduction to Galois Cohomology and its Applications

This is the first elementary introduction to Galois cohomology and its applications. The first part is self-contained and provides the;

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Central Simple Algebras and Galois Cohomology

varieties, and techniques in Milnor K-theory and K-cohomology, leading to a full proof of the Merkurjev-Suslin theorem and its application to the;

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Central Simple Algebras and Galois Cohomology

varieties, and techniques in Milnor K-theory and K-cohomology, leading to a full proof of the Merkurjev-Suslin theorem and its application to the;

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Etale Cohomology Theory (Revised Edition)

Etale cohomology is an important branch in arithmetic geometry. This book covers the main materials in SGA 1, SGA 4, SGA 4 1/2 and SGA 5 on;

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Galois Fields, Linear Feedback Shift Registers and Their Applications

This book gives an excellent introduction to finite groups and fields as well as their applications. Readers learn to understand and use;

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Brauer Groups and the Cohomology of Graded Rings

of Azumaya algebras: separability and Galois extensions of commutative rings, crossed products and Galois cohomology, Picard groups, and the Brauer;

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Perfectoid Spaces

, provides a broad introduction to the subject. After an introduction with insight into the history and future of the subject by Peter Scholze, Jared;

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Rigid Cohomology over Laurent Series Fields

starting point for graduate students looking to explore aspects of the classical theory of rigid cohomology and with an eye towards future research;

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Galois Theory, Coverings, And Riemann Surfaces

The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to;

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Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis

Originally published in 1995, Cohomology of Drinfeld Modular Varieties aimed to provide an introduction, in two volumes, both to this;

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Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis

Originally published in 1995, Cohomology of Drinfeld Modular Varieties aimed to provide an introduction, in two volumes, both to this;

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Brauer Type Embedding Problems

seeking an introduction to embedding problems and inverse Galois theory. It will also be a useful reference for researchers in the field.;

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Rings, Extensions, and Cohomology

extensions, especially those involving issues of separability, Galois theory, and cohomology.;

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Galois Theory And Applications

I plan on assigning to my students this fall.'MAA ReviewsThe book provides exercises and problems with solutions in Galois Theory and its;

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An Introduction to Non-Abelian Class Field Theory

This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois;

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Cohomology of Groups and Algebraic K-theory

experts presented introductions, to and surveys of, many aspects of cohomology of groups and algebraic K-theory, along with their broad;

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Lie Groups, Lie Algebras, Cohomology and some Applications in Physics

Now in paperback, this book provides a self-contained introduction to the cohomology theory of Lie groups and algebras and to some of its;

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Foundations of Galois Theory

theory serves as an excellent introduction to group theory and provides a strong, historically relevant motivation for the introduction of the;

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Profinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67

In this volume, the author covers profinite groups and their cohomology, Galois cohomology, and local class field theory, and concludes;

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A Classical Introduction to Galois Theory

of mathematics. A Classical Introduction to Galois Theory develops the topic from a historical perspective, with an emphasis on the solvability;

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Modular Forms And Galois Cohomology

formulas of Galois cohomology groups. The final chapter presents a proof of a non-abelian class number formula and includes several new results;

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Recent Developments in the Inverse Galois Problem

will serve as a guide to progress on the Inverse Galois Problem and as an aid in using this work in other areas of mathematics. This includes;

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Elliptic Curves, Hilbert Modular Forms And Galois Deformatio

in Arithmetic Geometry in the 2009-2010 academic year. The notes by Laurent Berger provide an introduction to p-adic Galois representations and;

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Cohomology Operations and Applications in Homotopy Theory

the algebraic structure of the cohomology ring has been instrumental to important progress in general homotopy theory and in specific;

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Local Cohomology and Its Applications

, Local Cohomology and Its Applications is a provocative reference for algebraists, topologists, and upper-level undergraduate and graduate;

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Euler Systems. (AM-147), Volume 147

systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor Kolyvagin in the late 1980s;

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Introduction to Field Theory

various ways of classifying them are studies. Chapter III gives an exposition of the Galois Theory, following Artin's approach, and Chapter IV;

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