Lectures related to Quadratic Lattices and Genus Classes

Covers non-degenerate integral quadratic lattices and adèles, including their properties and definitions.

Covers non-degenerate quadratic lattices, local representability, equidistribution, and the Siegel theorem.

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

Covers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.

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

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

Covers the joint equidistribution of CM points in algebraic structures and quadratic forms.

Covers the ring of polynomials, focusing on coefficients and multiplication.

Explores algebraic geometry, focusing on rings, bodies, quotient rings, and irreducible polynomials.

Explores the joint equidistribution of CM points for cubic fields, emphasizing periodic orbits and quadratic algebraic forms.

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.