Galois Theory: The Galois Correspondence

Related lectures (31)

Introduces Galois fields, elliptic curves, factorization algorithms, and the discrete logarithm problem in cryptography.

Explores separable extensions and Dedekind rings, focusing on coefficients and prime ideals.

Covers the bar construction method, homology groups, classifying space, and the Hopf formula.

Explores Frobenius theorems in number theory, ideal class groups, norm properties, and geometry of numbers.

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Discusses the classification of finite extensions of Qp and introduces Krassner's Lemma on root continuity.

Explores ramification theory, residual fields, and discriminant ideals in algebraic number theory.

Explores quotient by Galois action, focusing on coatings, actions, and shares in various spaces.

Explores Dedekind rings, integral extensions, and noetherian rings in algebraic structures.

Covers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.

Explores complex number properties, roots, and polynomial equations in the complex plane.

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