Lectures related to Liouville's theorem (conformal mappings)

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

Explores conformal transformations, including holomorphic functions and Moebius transformations.

Conformal Applications: Theory and Examples

Covers the theory and examples of conformal applications, focusing on the concept of conformal mappings and Moebius transformations.

Symmetric Inner Products and Conformal Transformations

Covers making inner products symmetric and conformal transformations in local operators computation.

Conformal Field Theory Basics

Covers the basics of Conformal Field Theory, focusing on Large N CFTs and correlation functions.

Conformal Transformations: Theory and Applications

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

Conformal Transformations: Power Counting

Covers conformal transformations and power counting in diagrams with edges, vertices, and faces.

Conformal Field Theory: Stress Tensor & Ward Identities

Explores the invariance of quantum/statistical field theory under conformal transformations and the stress tensor properties.

Quantization: Topological Operators

Covers the quantization process using topological operators and their role in generating symmetries.

Volume and Signal Processing

Covers volume and signal processing concepts in mathematical calculations and signal analysis.

Lecture 5: Conformal Transformations

Explores Conformal Transformations, emphasizing scale transformations and correlation functions.

Weakly Coupled QFT in AdS

Explores weakly coupled quantum field theory in AdS, including state-operator correspondence and semiclassical gravity.

Conformal Field Theory: Generators and Commutation Relations

Covers the definition of generators of the conformal group and the application of Wick's theorem.

Conformal Transformations and Stress Tensor

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

Quantum Field Theory in AdS: State-Operator Correspondence

Covers the study of free particle quantum mechanics in AdS and the State-Operator Correspondence in AdS.

Intrinsic Geometry of Regular Surfaces

Explores the intrinsic geometry of regular surfaces and isometric transformations, including spheres and cylinders.

Conformal Transformations: Symmetries and Correlation Functions

Explores conformal transformations and correlation functions in quantum field theory, emphasizing symmetry preservation and fixed correlation functions.

Conformal Transformations

Explores conformal transformations, scale invariance, and critical points in conformal symmetry.

Conformal Field Theory: Exercises

Covers exercises on Conformal Field Theory, including Casimir operators and Lorentz generators.

Conformal Bootstrap: Recap and Primary Concepts

Introduces the primary concepts of the conformal bootstrap and its applications in determining scaling dimensions and OPE coefficients.