Differential Galois theory

Related lectures (21)

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Explores Galois theory with a focus on Dedekind rings and their unique factorization of fractional ideals.

Covers the concept of finite degree extensions in Galois theory, focusing on separable extensions.

Explores decomposition groups, inertia subgroups, Galois theory, unramified primes, and cyclotomic fields in group actions and field extensions.

Explores ramification and structure of finite extensions of Qp, including unramified extensions and Galois properties.

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

Explores ramification theory, residue fields, Galois extensions, and decomposition groups in algebraic number theory.

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

Explores Galois fields, elliptic curve cryptography, arithmetic operations, group structure, and practical examples in cryptography.

Covers the Galois correspondence, relating subgroups to intermediate fields.

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