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#Vertex Models

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Institute for Pure & Applied Mathematics (IPAM)

Positivity for Symmetric Functions and Vertex Models

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Explore connections between symmetric function homomorphisms and stochastic six-vertex model positivity, linking to RSK correspondence in algebraic combinatorics.
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1 Lesons
50 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Perfect t-Embedding of Uniformly Weighted Hexagon

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Explore perfect t-embedding of uniformly weighted hexagons in this advanced mathematics lecture, delving into vertex models and their algebraic and probabilistic aspects of universality.
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1 Lesons
45 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Limit Shapes of Non-Intersecting Brownian Bridges via Harmonic Envelope

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Explores limit shapes of non-intersecting Brownian bridges, focusing on macroscopic patterns and connections to random Young tableaux using the tangent plane method and harmonic envelope.
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1 Lesons
43 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Vertex Model Proof of Imamura-Mucciconi-Sasamoto Correspondence

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Explore vertex model proof of q-Whittaker polynomials correspondence, examining lattice path partition functions and their connection to Imamura-Mucciconi-Sasamoto's match between q-Whittaker and periodic Schur measures.
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1 Lesons
51 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Scaling Limit of Colored Asymmetric Simple Exclusion Process

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Explore the scaling limit of colored ASEP using Yang-Baxter equation and Gibbs line ensemble techniques, revealing connections to the KPZ universality class and related probabilistic objects.
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1 Lesons
1 hour
On-Demand
Free-Video
International Centre for Theoretical Sciences

Colored Vertex Models, Orthogonal Functions and Probability - Lecture 2

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Delve into advanced concepts of colored vertex models, exploring their connections to orthogonal functions and probability theory through expert mathematical analysis and demonstrations.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Shuffle Algebras, Lattice Paths and Macdonald Functions

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Explore connections between Macdonald functions, shuffle algebras, and vertex model partition functions in this advanced mathematics lecture on algebraic and probabilistic aspects of universality.
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1 Lesons
44 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Arctic Curves for Vertex Models

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

Vertex Model Integrability for Stochastic Particle Systems

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Explore integrable stochastic particle systems and their connection to vertex models. Learn about TASEP, Yang-Baxter equations, and applications in mathematics and biology.
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1 Lesons
51 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Six-Vertex Model in the Rare Corners Regime

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Explore limit shapes in six-vertex models, focusing on low-density corner scenarios. Discover new features, hyperbolic PDEs, density discontinuities, and connections to random permutations.
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1 Lesons
51 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
Galileo Galilei Institute

Conformal Field Theory Approach to Quantum Loop Models

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Explore conformal field theory's application to quantum loop models, uncovering connections between statistical mechanics and quantum field theory.
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1 Lesons
52 minutes
On-Demand
Free-Video
NCCR SwissMAP

An Ising-Type Formulation of the Six-Vertex Model

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Explore integrability in condensed matter physics and quantum field theory through an Ising-type formulation of the six-vertex model.
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1 Lesons
55 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Vertex Model for Tissue Mechanics - Part I

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Explore vertex models for tissue mechanics, focusing on fundamental concepts and applications in biological systems.
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1 Lesons
1 hour 26 minutes
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

Growth and Mechanics of Tissues - SPL Rothschild Lecture

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Explorez les propriétés mécaniques des tissus et leur rôle dans la croissance et l'expression génétique, en mettant l'accent sur les tissus cancéreux et le développement précoce.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Colored Vertex Models, Orthogonal Functions and Probability - Lecture 1

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Explore the intersection of colored vertex models, orthogonal functions, and probability theory through advanced mathematical concepts in discrete integrable systems and statistical physics.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Lower Tail Large Deviations for the Stochastic Six Vertex Model

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Explore advanced mathematical concepts in discrete integrable systems, focusing on stochastic six vertex models and their large deviation principles through theoretical physics and probability theory.
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1 Lesons
1 hour
On-Demand
Free-Video