Sums of GUE Matrices and Concentration of Hives from Correlation Decay of Eigengaps
Explore the concentration of augmented hives in sums of random Hermitian matrices, using GUE ensemble eigenvalues and analyzing asymptotic behavior as eigenvalue count increases.
Enumerative Geometry and Special Functions - Lecture 2
Explore the intersection of enumerative geometry and special functions, discovering new interpretations and generalizations of historical mathematical concepts in modern research.
Enumerative Geometry and Special Functions - Lecture 1
Explore the interplay between enumerative geometry and special functions, connecting historical mathematical concepts with modern research in geometry and number theory.
From Random Tilings to Integrable Vertex Models - Part 2
Explore integrable vertex models, their applications to random growth and particle systems, and connections to random tilings and symmetric functions in this advanced mathematics lecture.
Introduction to Discrete Integrable Systems - Part 1
Explore discrete integrable systems with Sanjay Ramassamy, covering fundamental concepts and applications in geometry and statistical mechanics. Gain insights into this advanced mathematical field.
From Random Tilings to Integrable Vertex Models - Part 1
Explore integrable vertex models, their applications in random growth and particle systems, and connections to random tilings and symmetric functions in this advanced mathematics lecture.
S-embeddings and Discrete Maximal Lorentz Surfaces
Explore s-embeddings and discrete maximal Lorentz surfaces in this advanced mathematics talk, focusing on isothermic surfaces, mean curvature, and associated families in discrete geometry.
Violations of Bulk-Edge Correspondence for Topological Insulators
Explore violations of bulk-edge correspondence in topological insulators, examining examples, boundary conditions, and mathematical concepts to understand these unexpected phenomena.
Low-Energy Electrodynamics of Quantum Anomalous Hall State in Magnetically Doped Topological Insulators
Explores low-energy electrodynamics of quantum anomalous Hall state in magnetically doped topological insulators, focusing on experimental findings and implications of magnetic gap disorder.
Bulk Scaling Limits in Free Boundary Schur Process
Exploring correlation functions and bulk scaling limits in free boundary Schur process, with insights on new deformations of universal distributions in statistical mechanics.
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.
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.
KPZ Physics in Integrable Spin Chains
Explores KPZ physics in integrable spin chains, examining quantum matter stability and non-equilibrium dynamics. Discusses mechanisms constraining many-body dynamics and their implications for novel quantum phases.
Spectral Gap Estimates for the Random Field Ising Model - Lecture
Spectral gap estimates for random field Ising model: convergence rates, Glauber dynamics, Griffiths phase. Combines stochastic localization and percolation-theoretic coarse-graining techniques.
Hitchin Systems - An Introduction to Complex Geometric Structures
Explore Hitchin systems with Marina Logares, delving into their mathematical properties and applications in algebraic geometry and theoretical physics.
Hilbert Series and Other Advanced Techniques for Effective Field Theories - Lecture 4
Explore advanced techniques for Effective Field Theories, focusing on Hilbert Series and their applications in particle physics research.
Tail Probabilities of the Stochastic Six Vertex Model
Exploration of tail probabilities in stochastic six-vertex models, revealing multiple transitions governed by integrable differential equations and employing Riemann-Hilbert techniques for asymptotic analysis.
Fermionic Gaussian Free Field and Connections to Random Lattice Models
Explore determinantal and permanental point processes, fermionic and bosonic variables, and their connections to physics. Discover the fermionic Gaussian free field and its relation to random lattice models.
Shuffle Algebras, Lattice Paths and Macdonald Functions
Explore connections between Macdonald functions, shuffle algebras, and vertex model partition functions in this advanced mathematics lecture on algebraic and probabilistic aspects of universality.
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.
Vertex Model Integrability for Stochastic Particle Systems
Explore integrable stochastic particle systems and their connection to vertex models. Learn about TASEP, Yang-Baxter equations, and applications in mathematics and biology.