Graph Theory Courses

InfoQ

Systems Thinking and Complexity Theory for AI Architects

Master systems thinking and complexity theory to design responsible AI architectures, avoiding unintended consequences in multi-agent systems through frameworks like Cynefin and Iceberg models.

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

Scott Paul Johnson

Basslines, Beats, and Guitar - Writing Session with Theory Explained

Explore basslines, beats, and guitar techniques through a live writing session with CAGED fingerboard concepts and music theory explanations.

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

Remote Chess Academy

How Capablanca Defeated a Champion Without Studying Opening Theory

Discover Capablanca's 7 timeless rules for winning chess through strategic play rather than memorizing opening theory, demonstrated via his victory over US Champion Frank Marshall.

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

Renzo Ricca

The Modern Legacy of Tait's Knot Theory

Explore how Tait's pioneering 19th-century knot theory foundations continue to influence modern mathematical physics and topology research today.

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

Institute for Advanced Study

Introduction to Non-abelian Hodge Theory

Discover Simpson's correspondence between complex local systems and semistable Higgs bundles, generalizing classical Hodge theory for smooth projective varieties.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Computer Science and Game Theory - A Conversation

Explore the intersection of computer science and game theory, from Internet routing to blockchain pricing, and discover how computational tools provide new insights into Nash equilibria and auction design.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

HUJI Machine Learning Club

A Theory of Learning with Autoregressive Chain of Thought

Explore PAC-learning framework for autoregressive chain-of-thought in language models, covering sample complexity and efficient universal learning methods.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

The Julia Programming Language

The Graph of Julia - Graph Algorithms and Package Dependencies in the Julia Ecosystem

Explore Julia's graph algorithms and metaprogramming capabilities through package dependency analysis, showcasing how Julia's dynamism makes it ideal for sparse and graph computations.

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

Institute for Advanced Study

Slicing Spaces - From Contour Lines to Morse Theory: A Historical Perspective

Explore the historical development of Morse theory from 19th-century contour mapping to modern mathematical applications in this centennial tribute lecture.

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

The Royal Institution

Decoding Ageing - The Blueprint Theory and Future of Longevity Science

Explore the Blueprint Theory of Ageing and cutting-edge therapies targeting cellular necrosis to extend healthy lifespan, from Earth to space exploration.

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

Fields Institute

The Lie Theory Behind Geometric Classification Problems - Relative Algebroids Part 2

Delve into advanced Lie theory applications for geometric classification through relative algebroids in this comprehensive mathematical exploration.

• YouTube
• 2 hours 9 minutes
• Self-Paced
• Free Video

Fields Institute

The Lie Theory Behind Geometric Classification Problems - Relative Algebroids Part 1

Explore Lie theory applications to geometric classification through relative algebroids in this advanced mathematical lecture from the Fields Institute.

• YouTube
• 2 hours 21 minutes
• Self-Paced
• Free Video

Simons Foundation

Stability Theory of Flat Band Solitons in Nonlinear Wave Systems

Explore stability theory of flat band solitons in nonlinear wave systems, focusing on minimal compact solitons in multi-lattices and engineering nonlinearity for stabilization.

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

University of Chicago Department of Mathematics

Theory of Valuations on Manifolds

Explore the theory of valuations on smooth manifolds, covering finitely additive measures, topological filtered algebras, and their relationship to smooth functions and measures.

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

QuICS

Quantum Algorithms Through Graph Composition

Discover how graph composition provides a unified framework for developing time-efficient quantum query algorithms, with practical examples and black-box implementation methods.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video