Lectures related to Conformal Loop Ensembles: Perspectives and Applications

Quantum Gravity: Conformal Field Theory Perspectives

Covers the relationship between conformal field theory and Liouville quantum gravity, focusing on correlation functions and the implications of cutting LQG by SLE loops.

FK-Percolation and the Six-Vertex Model: Critical Phenomena

Covers the transition from the six-vertex model to FK-percolation, focusing on critical phenomena and phase transitions in two-dimensional systems.

Quantum Length of SLE: Natural Parameterization and Properties

Covers the quantum length of SLE and its natural parameterization, exploring key properties and relationships with random planar maps.

Easing Model Conformal Theory: Scaling Limits and Correlations

Covers the Easing model conformal theory, focusing on scaling limits and correlation functions.

Recent Advances in the Dimer Model and Its Applications

Covers recent advancements in the dimer model, emphasizing its applications in probability and conformal field theory.

Embedding Space: AdS and Euclidean Geometry

Covers the concept of embedding space for AdS and Euclidean geometry, discussing AdS isometries and Euclidean Ads.

Renormalization & Scaling

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

Gauge Theories: Chiral Transformations and Path Integrals

Covers the gauged Wess-Zumino-Witten model and its applications in conformal field theory.

Statistical Models: Unitary Conformal Field Theories

Covers the connection between statistical models and unitary conformal field theories, focusing on critical points and the role of local fields.

Dotsenko-Fateev Approach: Correlation Functions in Quantum Field Theory

Covers the Dotsenko-Fateev approach to computing correlation functions in quantum field theory.

Quantum Learning: Complexity and Predictive Models

Covers the complexity and learnability in complex quantum systems, focusing on quantum advantages in learning and predicting properties of quantum states.

Local Fields and Correlations in Ising Models

Covers local fields and correlations in Ising models and conformal field theory.

Probability Theory: Lecture 2

Explores toy models, sigma-algebras, T-valued random variables, measures, and independence in probability theory.

Quantum Random Number Generation

Explores quantum random number generation, discussing the challenges and implementations of generating good randomness using quantum devices.

Elements of Statistics: Probability, Distributions, and Estimation

Covers probability theory, distributions, and estimation in statistics, emphasizing accuracy, precision, and resolution of measurements.

Probability Theory: Integration and Convergence

Covers topics in probability theory, focusing on uniform integrability and convergence theorems.

Compactified Imaginary Liouville Theory: Scaling Limits and Challenges

Covers compactified imaginary Liouville theory and the scaling limits of loop models, addressing mathematical challenges and future research directions.

Quantum Measurements

Explores projective quantum measurements, system-meter formulation, observable outcomes, and coupling between systems and meters.

Quantum Hamiltonian Verification

Covers the verification of N-qubit Hamiltonians using quantum computing techniques.

Quantum Measurements

Explores quantum measurements, including POVMS and general projections, and their applications in quantum computing.