Lattice Models Courses and Certifications

International Centre for Theoretical Sciences

Phase Transitions in Hard-Core Systems - Lecture 1

Explore phase transitions in hard-core systems, from basic concepts to advanced topics like fluid-solid transitions in hard spheres and phase changes in long rods. Includes theoretical foundations and computational approaches.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Fields Institute

Advanced Course I: Schramm Loewner Evolution and Lattice Models - Lecture 2, Part 2

Explore advanced concepts in Schramm Loewner Evolution and lattice models, focusing on theoretical foundations and applications in mathematical physics and probability theory.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Fields Institute

Schramm Loewner Evolution and Lattice Models - Advanced Course Lecture 1, Part 1

Explore Schramm Loewner Evolution and its connections to lattice models in this advanced mathematics lecture, delving into complex analysis and probability theory.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Lattice Models and Ab Initio Descriptions of Correlated Materials - IPAM at UCLA

Explore correlated electron materials through low-energy models and ab initio calculations, focusing on properties of cuprates and advanced quantum mechanics techniques.

• YouTube
• 43 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Aspects of Quantum Simulation of the Fermi-Hubbard Model - IPAM at UCLA

Explore quantum simulation of the Fermi-Hubbard model, focusing on Trotter error bounds and optimization techniques for improved accuracy in quantum circuits and time evolution algorithms.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Dimer Models and Random Tilings - Part 1

Explore dimer models and random tilings with Cédric Boutillier. Learn about Kasteleyn's theory, combinatorial correspondences, and asymptotic methods for studying perfect matchings on lattices.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Arctic Curves for Vertex Models

Exploration of arctic curves in 2D integrable lattice models, focusing on 6 Vertex and 20 Vertex models. Discusses phase boundaries, tangent method, and related combinatorial results in tiling problems.

• YouTube
• 58 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Critical Phenomena Through the Lens of the Ising Model

Explore critical phenomena in the Ising model, from its origins in ferromagnetism to recent breakthroughs in three and four dimensions using probabilistic interpretations and percolation models.

• YouTube
• 56 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Geometry of Dimer Models

Explore the asymptotic phenomena of random dimer coverings on large planar graphs, focusing on Aztec diamonds and their connection to Riemann surface geometry in this advanced mathematics lecture.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Rotational Invariance of Planar Random Cluster Models and Beyond

Exploration of rotational invariance in planar random cluster models, discussing its applications and potential for new insights into critical models on Z^2.

• YouTube
• 56 minutes
• On-Demand
• Free Video

Fields Institute

Coulomb Gas and Lattice Models

Explore Coulomb gas and lattice models in statistical physics, examining their properties, applications, and connections to other mathematical concepts.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

Integrable Quantum Circuits from Statistical Mechanics

Explore quantum integrability and its applications in out-of-equilibrium physics, focusing on constructing integrable quantum circuits using statistical mechanics methods.

• YouTube
• 23 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

Bootstrapping the Ising Model on the Lattice

Explore advanced techniques for analyzing the Ising model on lattices using bootstrap methods, uncovering critical behavior and phase transitions in statistical physics.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

Conformal Field Theory Approach to Quantum Loop Models

Explore conformal field theory's application to quantum loop models, uncovering connections between statistical mechanics and quantum field theory.

• YouTube
• 52 minutes
• On-Demand
• Free Video

ICTP-SAIFR

Learning Probability Distributions of Neuronal Activity Patterns - Max Entropy Models

Explore probability distributions of neuronal activity patterns using max entropy models. Gain insights into lattice models and their applications in biological problems.

• YouTube
• 1 hour 27 minutes
• On-Demand
• Free Video