Matrix Theory Courses and Certifications

Dave Churchill

Introduction to Artificial Intelligence: Game Theory and Matrix Games - Lecture 8

Explore game theory fundamentals and matrix games in AI, covering key concepts and strategies for problem-solving in competitive environments.

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

PCS Institute for Basic Science

Explorations of Dissipative Quantum Chaos from Non-Hermitian Random Matrix Theory

Explore dissipative quantum chaos through non-Hermitian random matrix theory. Examine volume-law entanglement entropy and eigenstate thermalization hypothesis modifications in open quantum systems.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Granular Geometry of Large N Matrix Models and 2D String Theory

Explores granular geometry in large N matrix models and 2D string theory, examining quantum information, field theory, and gravity intersections in AdS/CFT correspondence and emergent spacetime.

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

International Centre for Theoretical Sciences

Corolla Polynomial, Associahedron and Gauge Theory S-Matrix

Explores connections between corolla polynomials, associahedra, and gauge theory S-matrices in theoretical physics, advancing understanding of quantum field theory and scattering amplitudes.

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

Centre International de Rencontres Mathématiques

Entanglement Detection in Quantum Information Theory: A Random Matrix Theory Approach

Explore entanglement detection in quantum information theory using random matrix theory. Gain insights into advanced mathematical approaches for quantum systems analysis.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Lorentzian IKKT Matrix Model with Mass Term as Nonperturbative Formulation of Superstring Theory

Explore the Lorentzian IKKT matrix model with mass term as a nonperturbative superstring theory formulation. Delve into regularization, classical solutions, and potential emergence of expanding spacetime.

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

Centre de recherches mathématiques - CRM

The Moduli Space of Twisted Laplacians and Random Matrix Theory

Explore the convergence of spectral number variance for twisted Laplacians to random matrix theory ensembles, extending Rudnick's work to break time-reversal symmetry and include Dirac operators.

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

ICTP-SAIFR

Random Matrix Theory Applications from Single to Many-Body Quantum Chaos - Class 2

Explore random matrix theory applications in quantum chaos, from single-particle to many-body systems, with insights from Thomas Guhr's advanced lecture series.

• YouTube
• 1 hour 42 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Using Random Matrix Theory to Analyze Power Law Signatures in scRNA-seq Data

Explore how Random Matrix Theory can be applied to analyze power law signatures in single-cell RNA sequencing data in this talk from the 10th Indian Statistical Physics Community Meeting.

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

Harvard CMSA

Integrability in Discrete Random Matrix Theory

Explore integrability in discrete random matrix theory, covering probabilistic results, Hall-Littlewood polynomial formulas, and new formulas for Hermitian and antisymmetric p-adic matrices with formal Hall-Littlewood processes.

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

Institute for Pure & Applied Mathematics (IPAM)

Strong Convergence in Random Matrix Theory - Part 1

Delve into strong convergence theory and its applications in random matrices, operator algebras, and geometry through Princeton expert Ramon van Handel's comprehensive mathematical exploration.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

A New Approach to 1/N Expansion in Random Matrix Theory

Discover a simple method to control finite dimension regimes in random matrix theory using polynomial approximation, presented by Chi-Fang Chen at IPAM's workshop on Free Entropy Theory.

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

The Julia Programming Language

Interactive Random Matrix Theory in Julia

Explore determinantal point processes through Julia packages, simulating random domino tilings, nonintersecting paths, and Young tableaux with interactive tools like Pluto.jl.

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

Institute for Pure & Applied Mathematics (IPAM)

Reduced Density Matrix Functional Theory - Part 1

Dive into reduced density matrix functional theory with key definitions, concepts, and theorems in this first part of Kasia Pernal's lecture at IPAM's Non-commutative Optimal Transport Tutorials.

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

Kavli Institute for Theoretical Physics

A New 2D String Theory and Matrix Model Duality

Explores a novel duality between 2D string theory and matrix models, advancing understanding of spacetime, quantum information, and holographic principles in theoretical physics.

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