Adelic Number Theory

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Related lectures (31)

Machine Learning at the Atomic Scale Log in to Mediaspace to watch this video

Explores simple models, electronic structure evaluation, and machine learning at the atomic scale.

Density Theorem: Endomorphisms of Simple Modules Log in to Mediaspace to watch this video

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

Adelic Number Theory Log in to Mediaspace to watch this video

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

Decomposition of Group Algebras Log in to Mediaspace to watch this video

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

Quantum Circuits: Models and Approximations Log in to Mediaspace to watch this video

Explores quantum circuit modeling, approximations, unitary matrices, and measurement operations.

Symmetries in Quantum Field Theory Log in to Mediaspace to watch this video

Explores symmetries in quantum field theory, focusing on transformation rules and Casimir operators.

Integration on H_pxH and Arithme Log in to Mediaspace to watch this video

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.

Representation Theory: Hasse's Theorem Log in to Mediaspace to watch this video

Explores Hasse's representation theory, emphasizing commuting operators and multiple representations.

Basis Sets I Log in to Mediaspace to watch this video

Explores the solution of the Schrödinger equation for many-electron systems using basis sets and the concept of basis functions.

Group representations constructions Log in to Mediaspace to watch this video

Explores the construction of group representations through various methods and provides an illustrative example using the standard representation of sr2 on c2.

Tensor Products of Modules Log in to Mediaspace to watch this video

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

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