Matrix Theory Courses and Certifications

Galileo Galilei Institute (GGI)

Theory of Nuclear Matrix Elements - Lecture 2

Delve into advanced nuclear physics concepts and matrix element calculations, exploring theoretical frameworks and computational methods for understanding nuclear structure and interactions.

• YouTube
• 1 hour 31 minutes
• Self-Paced
• 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
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Time-dependent Reduced Density Matrix Functional Theory - Part 2

Delve into time-dependent reduced density matrix functional theory with Kasia Pernal, exploring linear response theory, approximations, and applications for excited states of hydrogen molecules.

• YouTube
• 57 minutes
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video

Wolfram

What's New in Mathematical Computation with Wolfram - GPU, Game Theory, and Matrix Algebra

Discover upcoming advances in mathematical computation, from game theory and matrix algebra to GPU processing and PDE modeling, plus insights into Wolfram's educational initiatives.

• YouTube
• 30 minutes
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video

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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video

QCHEM LAB at KNU

A Non-Hermitian Approach to the Representability Issue in Density-Matrix Embedding Theory

Explore non-hermitian approaches to representability in density-matrix embedding theory, enhancing understanding of quantum chemistry concepts and computational methods.

• YouTube
• 23 minutes
• Self-Paced
• Free Video

Schmid College, Chapman University

Linear Systems and Differential Equations in Random Matrix Theory

Explore linear systems and differential equations in random matrix theory, focusing on solving nonlinear equations using Hankel operators, Fredholm determinants, and tau functions.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Inclusive Scattering Matrix in Quantum Theory

Explore inclusive scattering matrix in quantum theory, its relation to cross-sections, and applications in quantum electrodynamics using geometric approach and Keldysh formalism.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Matrix Model for Structure Constants of Huge Protected Operators in N=4 SYM Theory

Explore matrix model representations for protected correlation functions of huge operators in N=4 SYM theory, unveiling connections to integrable hydrodynamics and Calogero-Moser models.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video