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Lecture
Conformal Transformations: Theory and Applications
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Lecture 5: Conformal Transformations
Explores Conformal Transformations, emphasizing scale transformations and correlation functions.
Conformal Transformations: Part 1
Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.
Fundamental Groups
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Conformal Maps and Hyperbolic Geometry
Explores conformal maps, hyperbolic geometry, and isometric properties of disks.
Conformal Algebra: Transformations and Correlation Functions
Explores conformal algebra, transformations, and correlation functions of primary operators in curved spacetimes.
Conformal Transformations
Explores conformal transformations, scale invariance, and critical points in conformal symmetry.
Differential Forms on Manifolds
Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.
Quantization: Topological Operators
Covers the quantization process using topological operators and their role in generating symmetries.
Symmetric Inner Products and Conformal Transformations
Covers making inner products symmetric and conformal transformations in local operators computation.
Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.