Graph Theory Courses

NCCR SwissMAP

Cocycles for GL_n and Graph Complexes from Differential Forms

Explore cocycles for GL_n and graph complexes through differential forms in this advanced mathematical presentation by E. Panzer from Oxford University.

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

Centre International de Rencontres Mathématiques

Coulomb Gas Approach to Conformal Field Theory and Lattice Models

Explore Coulomb gas techniques connecting statistical mechanics lattice models to Conformal Field Theory, including recent progress on general domains and Riemann surfaces.

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

The Royal Institution

Catastrophe Theory and Psychology - 1978 Christmas Lectures 6/6

Explore how gradually changing variables produce sudden effects through catastrophe theory, from mathematical models to applications in physics and psychology including mood changes.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Sundeep Saradhi Kanthety

Deadlock Detection in Operating System - RAG and Wait-for Graph Explained - Part 1

Explore deadlock detection techniques in operating systems through Resource Allocation Graphs and Wait-for Graph methods for system optimization.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Some Reducibilities in Computability Theory

Explore recent results on reducibilities and degree structures in computability theory, covering interactions with classical computability, constructive mathematics, and reverse mathematics.

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

Harvard CMSA

Introduction to Superselection Sector Theory - Classification of Phases and Long-Range Entanglement

Discover superselection sector theory for classifying quantum phases and understanding long-range entanglement in topological systems through mathematical frameworks.

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

Institute for Advanced Study

The Emerging Theory of Core-Collapse Supernova Explosions and their Various Signatures

Explore the cutting-edge theory behind core-collapse supernova explosions and their observable signatures with Princeton's Adam Burrows in this advanced physics lecture.

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

BIMSA

Exponential Sums on Curves Over Finite Fields - The Asymptotic Theory

Explore asymptotic theory of exponential sums on curves over finite fields through advanced mathematical analysis and theoretical frameworks.

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

BIMSA

Some Applications of Non-Abelian Hodge Theory

Explore advanced applications of non-abelian Hodge theory through expert mathematical insights and theoretical developments in this specialized lecture.

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

BIMSA

Reasoning on Knowledge Graph - Towards Trustworthy and Grounded AI

Explore knowledge graph reasoning techniques to build more trustworthy and grounded AI systems with practical applications and methodologies.

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

BIMSA

Deep Learning Encounters Control Theory - From PID-Accelerated Optimization to Fluid Locomotion and Robot Autonomy

Explore how control theory revolutionizes deep learning through PID-accelerated optimization, fluid locomotion, and autonomous robotics in this cutting-edge research presentation.

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

BIMSA

Development of Singular Perturbation Theory for Linear Ordinary Differential Equations

Explore advanced mathematical techniques for analyzing linear ordinary differential equations with small parameters using singular perturbation theory methods.

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

BIMSA

Propagators on Curved Spacetimes from Operator Theory

Explore advanced operator theory techniques for understanding propagators in curved spacetime geometries through rigorous mathematical analysis.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

BIMSA

The DRP-4DVar Data Assimilation Method - Theory and Applications

Explore the DRP-4DVar data assimilation method, covering theoretical foundations and practical applications in computational science and meteorological modeling.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

IAS | PCMI Park City Mathematics Institute

Arithmetic Ramsey Theory - Part 3

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

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video