Dimer Model Courses and Certifications

BIMSA

Geometry of Dimer Models - ICBS 2024

Explore asymptotic phenomena in random dimer coverings, focusing on Aztec diamonds and their connection to Riemann surface geometry.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

BIMSA

Geometry of Dimer Models - ICBS 2024

Explore asymptotic phenomena in random dimer coverings, focusing on Aztec diamonds and their connection to Riemann surface geometry.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Combinatorial Reid's Recipe for Consistent Dimer Models

Explore combinatorial Reid's recipe for consistent dimer models, focusing on Makai correspondence, modular spaces, and derived interpretations in algebraic geometry.

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

Hausdorff Center for Mathematics

Near-Critical Dimers and Massive SLE_2

Explore the uniform dimer model's conformal invariance, connecting a near-critical weighted version to loop-erased random walks and massive SLE_2 scaling limits through Temperley Bijection and Wilson's Algorithm.

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

Fields Institute

Dimer Models and Tropical Lagrangian Coamoebae

Explore the intricate connections between dimer models and tropical Lagrangian coamoebae in this advanced mathematical physics lecture by Harold Williams from USC.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Geometry of the Doubly Periodic Aztec Dimer Model

Explore the geometry of the doubly periodic Aztec diamond dimer model, including arctic curves, amoeba, and local fluctuations in statistical mechanics and discrete geometry.

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

Institute for Pure & Applied Mathematics (IPAM)

On the Higher-Rank Dimer Model

Richard Kenyon explores the higher-rank dimer model, discussing GL(n) local systems, Kasteleyn operators, and n-multiwebs. He presents scaling limit results for SL(3) and their conformal invariance in this advanced mathematics talk.

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

Hausdorff Center for Mathematics

Massive Holomorphicity in the Near-Critical Dimer Model

Explore advanced mathematical concepts in the near-critical dimer model, focusing on massive holomorphicity, Temperleyan boundary conditions, and connections to quantum field theory.

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

Institute for Pure & Applied Mathematics (IPAM)

The Squish Map and the SL_2 Double-Dimer Model

Explore measure-preserving maps between dimer models on hexagon lattices, connecting single and double-dimer models for insights into partition functions and plane partition enumeration.

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

Institute for Pure & Applied Mathematics (IPAM)

The Multinomial Dimer Model - Statistical Mechanics and Discrete Geometry

Explore the multinomial dimer model's limit shape theory, bistochastic gauge, and 3D Aztec diamond applications in statistical mechanics and discrete geometry.

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

Centre International de Rencontres Mathématiques

The Multinomial Dimer Model

Explore the multinomial dimer model's exact solvability in large N limits, covering limit shapes, free energy formulas, and applications to Aztec diamonds and 3D cuboids.

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

Institut Henri Poincaré

Combinatorics and Interactions - Asymptotic Representation Theory, Random Maps, and Enumerative Geometry

Explore advanced combinatorics through asymptotic representation theory, random maps, dimer models, and enumerative geometry in this comprehensive research trimester program.

• YouTube
• 3 days 8 hours 29 minutes
• On-Demand
• Free Video

NCCR SwissMAP

Master Class in Planar Statistical Physics

Master advanced statistical physics through Brownian motion, stochastic calculus, lattice models, Markov processes, conformal invariance, and random planar maps.

• YouTube
• 5 days 19 hours 16 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Statistical Mechanics and Discrete Geometry

Explore cutting-edge connections between statistical mechanics, discrete geometry, and cluster algebras through expert presentations on bipartite graphs, dimer models, and geometric structures.

• YouTube
• 15 hours 31 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Geometry, Statistical Mechanics, and Integrability Tutorials 2024

Explore advanced mathematical concepts connecting geometry, statistical mechanics, and integrability through expert tutorials on cluster algebras, vertex models, and discrete systems.

• YouTube
• 17 hours 28 minutes
• On-Demand
• Free Video