Concept

Adele ring

Related lectures (15)

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

Explores integral Hasse principle, locally isometric lattices, and adèles rings.

Covers adelic number theory, focusing on properties of maximal open compact subrings and constructions of adelic spaces.

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

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

Covers local Noetherian rings, integrally closed domains, discrete valuations, and fraction fields.

Covers integration on H_pxH and arithmetic topics, focusing on the Hensel Lemma and the process of finding R and S such that R.S-P=0.

Explores integration on H_pxH and arithmetic properties, including norms, structures, and polynomial factorization.

Explores Discrete Valuation Rings and their role in irreducible plane curves.

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

Explores adelic number theory, emphasizing lattices, modules, linear combinations, and Z-linear properties.

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

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

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