Quotient by Galois Action

Related lectures (30)

Page 3 of 3

Covers the Galois correspondence, relating subgroups to intermediate fields.

Explores divergence of vector fields, rotational definitions, and integral derivation applications.

Covers the recap of Galois theory and emphasizes the transitivity of Galois groups.

Explores abstract integration of functions and the need for stronger conditions beyond continuity.

Explores the properties of continuous functions, including maximum and minimum values and intermediate values.

Covers the definition and criteria for continuous functions and explores the intermediate value theorem.

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

Explores semi-groups of contractions, discussing uniqueness theorems, maximum principles, and the infinitesimal generator.

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

Explains the Intermediate Value Theorem for continuous functions on closed intervals.