Matrix Theory Courses and Certifications

International Centre for Theoretical Sciences

Random Matrix Theory and Its Applications by Satya Majumdar

Explore Random Matrix Theory's foundations and applications in physics, mathematics, and data science. Learn key concepts and techniques from expert Satya Majumdar.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Random Matrix Theory and its Applications - Lecture 2

Explore advanced concepts in random matrix theory, including linear algebra basics, operators, transformations, eigenvectors, and various matrix ensembles, with applications in statistical physics.

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

Instituto de Matemática Pura e Aplicada

Shuffling Cards and Random Matrix Theory

Explore card shuffling and random matrix theory with Stanford's Persi Diaconis in this IMPA 70th anniversary conference talk on mathematical applications in everyday phenomena.

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

International Centre for Theoretical Sciences

Random Matrix Theory and its Applications - Lecture 4

Explore advanced concepts in Random Matrix Theory, including rotational invariance, correlation functions, spacing distributions, and applications to complex systems stability.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Random Matrix Theory and Its Applications - Lecture 3

Explore advanced random matrix theory concepts, including complex quaternionic matrices, rotationally invariant ensembles, and applications to disordered systems in this in-depth lecture.

• YouTube
• 1 hour 32 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Random Matrix Theory and Its Applications - Lecture 5

Explore advanced random matrix theory concepts, including Gaussian ensembles, coarse-graining techniques, and the Wigner semi-circular law in this comprehensive lecture.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video

Paul G. Allen School

Theory Seminar - On Linear Data Structures and Matrix Rigidity, Sivaramakrishnan Ramamoorthy

Explores systematic linear data structures, rectangular rigidity, and their equivalence. Discusses rigidity lower bounds and Cayley graphs, presenting recent research findings and open problems.

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

BIMSA

Large N of Chern-Simons Matrix Model and Conformal Field Theory

Explore the emergence of 1+1D conformal field theory from large N limit of 2+1D Chern-Simons matrix models, including Kac-Moody algebra and holographic duality.

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

BIMSA

Recent Progress in Random Matrix Theory

Explore recent advancements in random matrix theory, focusing on spectral statistics of normalized adjacency matrices in random d-regular graphs and their eigenvalue rigidity.

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

Centre de recherches mathématiques - CRM

Branching Processes in Random Matrix Theory and Analytic Number Theory

Explore branching processes in random matrix theory and analytic number theory, focusing on limiting distributions, log-correlated phenomena, and recent conjectures about maxima of characteristic polynomials and L-functions.

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

Institute for Pure & Applied Mathematics (IPAM)

Tailoring Coupled Cluster Theory with Matrix Product States

Explore the fusion of coupled cluster theory and DMRG for tackling strongly correlated systems in computational chemistry, with insights on mathematical and computational advancements.

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