Adelic Topology: Properties and Approximation

Related lectures (31)

Page 2 of 4

Covers Banach and Hilbert spaces, separability, norm, continuity, and functional analysis.

Explores Carathéodory's Theorem and its dimension implications for set representation.

Explores the evolution of projective geometry and its applications in architectural representation.

Covers geometric projections using Monge's method, focusing on representing three-dimensional points through their orthogonal projections.

Covers signal representations using Fourier transforms and projection theorems in the time-frequency plane.

Covers examples of group algebra decomposition and simple infinite-dimensional algebras.

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Explores the differential of group actions on vector spaces and the behavior of orbit maps.

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

Covers the density theorem in representation theory, focusing on endomorphisms of simple finite-dimensional modules.