Lectures related to Conformal Transformations: Part 1

Covers the stress tensor, Weyl invariance, and the integral form of conformal Ward identities.

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

Explores Conformal Transformations, emphasizing scale transformations and correlation functions.

Explores the theory and applications of conformal transformations, covering special conformal transformations and isomorphic transformations.

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

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

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

Introduces Manopt, a toolbox for optimization on manifolds, focusing on solving optimization problems on smooth manifolds using the Matlab version.

Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

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

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

Explores conformal symmetries in Euclidean and AdS spaces, isometries, induced metric, Poincaré coordinates, and boundary structure.

Covers the preservation of isometry by rotations and symmetries.

Explores isometries, distinguishing between rotations and reflections, and the preservation of orientation in geometric transformations.

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

Covers the most general representation of Lorentz group on spinorial fields.

Covers rotations and general transformations in various dimensions with mathematical formulas and applications.

Explores conformal transformations, stress tensor, and correlation functions in conformal field theory.

Covers the transformation of vectors and tensors in quantum physics.