Lectures related to Homogeneous Spaces

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

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

Explores the Kirillov paradigm for the Heisenberg group and unitary representations.

Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.

Discusses separation criteria and quotient spaces in topology, emphasizing their applications and theoretical foundations.

Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.

Covers Lie groups, focusing on SU(2) and SO(3), discussing group structure and representations.

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.

Explores symmetries in Newtonian mechanics and wave equations, highlighting their significance in understanding physical laws.

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

Covers angular momentum in rotations, including preservation of angles and vector products.

Explores the Hamiltonian formalism, conservation laws, preserved quantities, and differential equations in classical physics.

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Covers the definition and examples of topological groups, focusing on actions of groups on spaces.

Covers the concept of 2D rotations and their analytical expressions.

Covers the effect of the Earth's rotation on ballistics and projectile trajectories.

Explores irreducible representations of the rotations group and their mathematical properties.