Lectures related to Field extension

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

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

Explores the impact of appearance on interactions at a Lausanne tattoo salon.

Explores purely inseparable decompositions, Galois property, and algebraic closures.

Covers the Galois correspondence, relating subgroups to intermediate fields.

Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.

Covers manifolds, charts, compatibility, and submanifolds with smooth analytic equations.

Explores homomorphisms in topology and delves into Galois theory.

Covers stochastic integrals, emphasizing isometry and continuity properties in martingales and different spaces.