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#Dimer Model

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Fields Institute

Cluster Algebra Structures from Decorated Super-Teichmüller Spaces

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Explore cluster algebra structures derived from decorated super-Teichmüller spaces, examining dimer models and labels in the context of supergeometry and bracket structures.
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7 Lesons
26 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Raf Bocklandt: Deforming Dimers

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Explore deformation theory of dimer models, their relation to mirror symmetry for Riemann surfaces, and various aspects illustrated with examples.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Dimer Models and Random Tilings - Part 1

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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.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Perfect t-embeddings of Uniform Aztec Diamond Graphs

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Explores t-embeddings of uniform Aztec diamond graphs, providing new formulas and asymptotic analysis to prove convergence of dimer model height fluctuations to a Gaussian Free Field.
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1 Lesons
45 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Dimer Models and Random Tilings - Part 2

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Explore dimer models, perfect matchings, and tilings with advanced mathematical tools. Delve into Kasteleyn's theory, combinatorial correspondences, and asymptotic methods for large-scale limits.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Dimers and M-curves: Limit Shapes from Riemann Surfaces

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Explore dimer models, M-curves, and limit shapes through algebraic geometry, integrating Riemann surfaces and Schottky uniformization. Gain insights into statistical mechanics and discrete geometry.
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1 Lesons
53 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Incidences and Dimers in Projective Geometry - Statistical Mechanics and Discrete Geometry

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Explore the connection between linear incidence theorems in projective geometry and bipartite graphs on surfaces, incorporating dimer model dynamics to derive dynamic linear incidence theorems.
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1 Lesons
48 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Geometry of Dimer Models

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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.
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1 Lesons
55 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Geometry of the Doubly Periodic Aztec Dimer Model

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Explore the geometry of the doubly periodic Aztec diamond dimer model, including arctic curves, amoeba, and local fluctuations in statistical mechanics and discrete geometry.
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1 Lesons
50 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Spectrum of the Ising Model

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Explore the correspondence between Ising models and algebro-geometric data, extending Kenyon and Okounkov's work on dimer models and Harnack curves in this advanced mathematical presentation.
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1 Lesons
46 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

On the Higher-Rank Dimer Model

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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.
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1 Lesons
51 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

The Squish Map and the SL_2 Double-Dimer Model

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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.
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1 Lesons
50 minutes
On-Demand
Free-Video
APS Physics

Machine Learning and the Real Space Renormalization Group

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Explore the intersection of machine learning and renormalization group theory, focusing on real-space applications and information theory perspectives in physics.
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9 Lesons
30 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Combinatorial Reid's Recipe for Consistent Dimer Models

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Explore combinatorial Reid's recipe for consistent dimer models, focusing on Makai correspondence, modular spaces, and derived interpretations in algebraic geometry.
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8 Lesons
39 minutes
On-Demand
Free-Video
BIMSA

Geometry of Dimer Models - ICBS 2024

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Explore asymptotic phenomena in random dimer coverings, focusing on Aztec diamonds and their connection to Riemann surface geometry.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
BIMSA

Geometry of Dimer Models - ICBS 2024

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Explore asymptotic phenomena in random dimer coverings, focusing on Aztec diamonds and their connection to Riemann surface geometry.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video