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Lecture
The Class Number Formula: Counting and Lipschitz Principle
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Class Number Formula
Explores the Class Number Formula in number theory, focusing on Lemmas, Proofs, and a significant theorem.
Ramification Theory: Residual Fields and Discriminant Ideal
Explores ramification theory, residual fields, and discriminant ideals in algebraic number theory.
Norms and Valuations on Fields
Covers the construction of Qp, norms, valuations, and Ostrovski's theorem.
Linear Representations: Basics and Examples
Covers linear representations, isomorphism, G modules, and classification of representations of C star and C plus.
Residue Fields and Quadratic Forms
Explores residue fields, quadratic forms, discriminants, and Dedekind recipes in algebraic number theory.
Lp Cone and Approximate Embeddings
Covers the concept of Lp cone and approximate embeddings in metric spaces.
Preimages in a Gluing Construction
Delves into preimages of closed sets in a disjoint union.
Metric Spaces: Norms and Distances
Explores norms, distances, scalar products, and norm convergence in metric spaces.
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Convergence and Completeness
Covers convergence, completeness, and properties of metric spaces and Banach spaces.