Lectures related to Intermediate Coatings: Revisiting Galoisian Correspondence

Covers the uniqueness of norm extension in finite fields and the construction of norms on finite extensions of Qp.

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

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

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

Covers the algebraic closure of Qp and the definition of p-adic complex numbers, exploring roots' continuous dependence on coefficients.