Quadratic Lattices and Genus Classes

Related lectures (21)

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Explores adelic topology, lattice representation, and strong approximation properties.

Explores quadratic spaces, norms, and quaternion algebra over fields.

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

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Covers the concepts of ideals, principal ideal domains, and ring homomorphisms.

Explores discrete valuation rings, their properties, uniqueness of representation, and relationship with principal ideal domains.

Covers the ring structure, focusing on polynomials and coefficients, including associativity, distributivity, and the product of rings.

Explores congruence relations in rings, principal ideals, ring homomorphisms, and the characteristic of rings.

Discusses the Godement Compactness Criterion in reductive groups and covolume computations.