Graph Theory Courses

NPTEL-NOC IITM

Noether Normalization Lemma and Important Results in Dimension Theory - Tutorial 2

Explore the Noether Normalization Lemma and key results in dimension theory through detailed mathematical proofs and applications.

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

BIMSA

Bootstrapping SU(3) Lattice Yang-Mills Theory

Explore advanced bootstrap methods for SU(3) lattice Yang-Mills theory in this specialized physics presentation from BIMSA's international conference.

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

Galileo Galilei Institute (GGI)

A Unified Theory of Quantum Neural Network Loss Landscapes

Explore quantum neural network optimization through a unified theoretical framework analyzing loss landscapes and training dynamics in quantum machine learning systems.

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

Princeton Center for Complex Materials - PCCM

Interaction and Phases in Chiral Luttinger Liquid Theory - Lecture 1 of 2

Explore interaction effects and quantum phases in chiral Luttinger liquid systems through advanced theoretical frameworks and mathematical formulations.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

Princeton Center for Complex Materials - PCCM

Interactions and Phases in Chiral Luttinger Liquid Theory - Lecture 2 of 2

Explore advanced interactions and quantum phases in chiral Luttinger liquid systems through rigorous theoretical analysis and mathematical frameworks.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video

Discover AI

Bottom-up Domain-specific AI Superintelligence - A Reliable Knowledge Graph Approach

Discover Princeton's breakthrough approach to AI superintelligence using symbolic logic and knowledge graphs instead of traditional token prediction methods.

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

AI Engineer

HybridRAG - A Fusion of Graph and Vector Retrieval

Discover HybridRAG, combining Knowledge Graph-based RAG with VectorRAG to enhance LLM question-answering systems for complex unstructured text data processing and information extraction.

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

AI Engineer

When Vectors Break Down - Graph-Based RAG for Dense Enterprise Knowledge

Discover how graph-based RAG architecture achieves 86.31% accuracy on enterprise knowledge bases, outperforming traditional vector approaches with sub-second response times.

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

BIMSA

On a First Order Theory Approximating Theoretic Economics

Explore first-order logical frameworks for approximating complex economic theories and their mathematical foundations in theoretical economics.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

BIMSA

Nonlinear Hodge Theory in Positive Characteristic

Explore advanced nonlinear Hodge theory techniques and their applications in positive characteristic algebraic geometry through expert mathematical analysis.

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

BIMSA

Modularity in N=4 Super Yang-Mills and Superstring Theory

Explore modularity properties connecting N=4 super Yang-Mills theory with superstring theory through advanced mathematical frameworks and theoretical physics insights.

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

BIMSA

Quantum Critical K-Theory

Explore quantum critical K-theory through advanced mathematical frameworks and their applications in modern theoretical physics research.

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

BIMSA

Koszul Duality in Quantum Field Theory

Explore the mathematical framework connecting Koszul duality with quantum field theory through advanced algebraic structures and their physical applications.

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

IAS | PCMI Park City Mathematics Institute

Arithmetic Ramsey Theory - Part 2

Explore advanced Ramsey-theoretic questions in abelian groups, covering van der Waerden's theorem and modern additive combinatorics tools for density and partition regularity.

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

IAS | PCMI Park City Mathematics Institute

Arithmetic Ramsey Theory - Part 1

Explore arithmetic Ramsey theory fundamentals, covering van der Waerden's theorem and modern additive combinatorics tools to prove density and partition regularity of linear configurations.

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