Dynamics on Homogeneous Spaces and Number Theory

Related lectures (28)

Explores nilpotent Lie groups, their orbits, and adjoint actions, illustrating simplicity and form.

Explores Lie groups, translations, and invariance of states under transformations.

Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.

Covers Lie algebra, group representations, symmetry groups, and Schur's lemma in the context of symmetry and group operations.

Covers crystallography, lattice structures, vectors, and diffraction patterns.

Explores the applications of ergodic theory to combinatorics and number theory, including Szemerédi's Theorem and the Erdős-Kac Theorem.

Explores the classification and properties of simple complex Lie algebras, emphasizing their connection with Lie groups.

Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.

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