Lectures related to The Class Number Formula: Counting and Lipschitz Principle

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

Explores the properties and applications of logarithmic embeddings in number fields.

Explores embeddings of number fields, types, signatures, lattices, and determinants.

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

Covers Lipschitz maps, compact domains, changing variables, counting problems, and probability of ideals.

Covers the embeddings of number fields and ideal classes with proofs and examples.

Introduces metric spaces, topology, and continuity, emphasizing the importance of open sets and the Hausdorff property.

Covers the Dedekind function, Euler product formula, series convergence, and analytic continuation of logarithmic functions.

Covers metric spaces, isometric embeddings, and equilateral spaces with examples and proofs.

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

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

Covers the construction of Qp, norms, valuations, and Ostrovski's theorem.

Covers linear representations, isomorphism, G modules, and classification of representations of C star and C plus.

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

Covers the concept of Lp cone and approximate embeddings in metric spaces.

Delves into preimages of closed sets in a disjoint union.

Explores norms, distances, scalar products, and norm convergence in metric spaces.

Covers convergence, completeness, and properties of metric spaces and Banach spaces.