Lectures related to Discriminant of an algebraic number field

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

Covers the Class Number Formula and a counting problem related to the lattice and Lipschitz principle.

Explores residue fields, quadratic forms, discriminants, and Dedekind recipes in algebraic number theory.

Explores cyclotomic extensions, prime numbers, and ideal norms in number theory.

Explores integral representations, quadratic lattices, and the Hasse Principle.

Explores the Class Number Formula in number theory, focusing on Lemmas, Proofs, and a significant theorem.

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

Explores ramified extensions and Eisenstein polynomials, showcasing their applications in mathematical contexts.

Explores the discriminant in matrices, ideal class groups, and optimal embeddings in mathematics.

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

Covers the manipulation of algebraic laws on complex numbers.

Explores Hermite-Minkowski theorems in number fields and ideal classes.

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

Explores integer factorization using the quadratic sieve method and the challenges of working with algebraic number fields.

Covers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.

Explores examples of algebraic quotients using invariance maps and discriminant.

Covers second degree trinomials, discriminants, Viète's formulas, and root calculations.

Explores integral Hasse principle, locally isometric lattices, and adèles rings.

Covers the relations between the ideal class group and proper fractional ideals.

Covers the properties and applications of modular forms and discusses equidistribution and modularity.