Lectures related to Quantum Chaos and Scrambling

Explores chaos in quantum field theories, focusing on conformal symmetry, OPE coefficients, and random matrix universality.

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Explores renormalization, scaling, critical points, exponents, and phase transitions in conformal field theory and quantum gravity.

Covers functions, including even and odd functions, periodicity, and function operations.

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.

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

Covers partial derivatives for functions of one and two variables, emphasizing their importance and calculation.

Covers the Brown-York stress tensor and its relation to AdS/CFT correspondence.

Covers limits at infinity, algebra, and continuity with examples.

Covers functions, differentiability, Taylor expansions, and integrals, providing fundamental concepts and practical applications.

Explores real functions, covering parity, periodicity, and polynomial functions.

Covers the concept of holography in classical gravity and its relation to string theory.

Provides an overview of analysis and algebra courses, focusing on real numbers, limits, functions, and exams.

Covers control structures, loops, and functions in C language, emphasizing the importance of local variables and avoiding global variables.

Explores AdS/CFT, quantum gravity, and the holographic principle in string theory.

Explores the origin of functions, continuity, differentiability, and the physical representation of chemical bonds.

Explores Sobolev spaces in higher dimensions, discussing derivatives, properties, and challenges with continuity.

Covers the concept of partial derivatives and their applications in mathematical analysis.

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.