Lectures related to Galois connection

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

Explores solvability by radicals in Galois theory and the Galois/Abel criterion for solvability.

Explores the Galois theory of Qp, covering algebraic extensions, inertia groups, and cyclic properties.

Explores the Galois correspondence and solvability by radicals in polynomial equations.

Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.

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

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

Explores Tarski's fixed point theorem, omega continuity, Galois connection, and abstract interpretation concepts.

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

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

Covers the Galois correspondence, establishing a bijection between certain classes of groups and coverings.

Covers the Galois correspondence, relating subgroups to intermediate fields.

By Quoc Tran-Dinh explores accelerated algorithms for monotone inclusions, covering optimization models, challenges, and new algorithms.

Covers the proof of Hensel's Lemma and a review of field theory, including Newton's approximation and p-adic complex numbers.

Explores Galois theory, unramified primes, roots of polynomials, and finite residual extensions.

Explores isomorphism between Aut(p) and a Galois covering through topology course notes.

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

Revisits the Galoisian correspondence and explores group actions in intermediate coatings.