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Related lectures (31)
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Finite Extensions of Qp: Local Constancy
Discusses the classification of finite extensions of Qp and introduces Krassner's Lemma on root continuity.
Properties of Cross Product: Algebraic Aspects
Explores the algebraic properties of the cross product and its linearity.
Integral Representations: Quadratic Lattices and Hasse Principle
Explores integral representations, quadratic lattices, and the Hasse Principle.
Ramification Theory: Dedekind Recipe
Explores ramification theory, residue fields, Galois extensions, and decomposition groups in algebraic number theory.
Residue Fields and Quadratic Forms
Explores residue fields, quadratic forms, discriminants, and Dedekind recipes in algebraic number theory.
Primes in Arithmetic Progression
Explores primes in arithmetic progression, focusing on L-functions, characters, and the divergence of the sum of 1 over p for p congruent to a modulo q.
Geometry: Euclidean Elements & Vitruvius
Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.
Linear Algebra: Dot Product and Pre-Hilbertian Spaces
Explores pre-Hilbertian spaces, focusing on dot product properties and algebraic bases.
Equidistribution of CM Points
Covers the joint equidistribution of CM points in algebraic structures and quadratic forms.
Orthonormal Sequences and Hilbert Spaces
Explores orthonormal sequences, Bessel's inequality, and unique decompositions in Hilbert spaces.
