Graph Theory Courses

Centre International de Rencontres Mathématiques

Subgraph-Based Networks for Expressive, Efficient, and Domain-Independent Graph Learning

Explore subgraph-based networks for expressive, efficient, and domain-independent graph learning. Gain insights into equivariant subgraph aggregation and symmetry principles.

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

Galileo Galilei Institute

Effective Field Theory for Gravitational Inspiral Dynamics

Explore advanced concepts in gravitational wave physics, focusing on effective field theory applications to binary inspiral dynamics and post-Newtonian expansions.

• YouTube
• 1 hour 28 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

An Update on SYZ Mirror Symmetry and Family Floer Theory

Explore Strominger-Yau-Zaslow approach to homological mirror symmetry, focusing on Lagrangian torus fibrations and Fukaya-Floer algebra construction for mirror symmetry in complex geometry.

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

Institut des Hautes Etudes Scientifiques (IHES)

A-Infinity Functor in Symplectic Geometry and Gauge Theory

Explore advanced concepts in Floer theory, focusing on representability of A-infinity functors in symplectic geometry and gauge theory applications.

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

Institut des Hautes Etudes Scientifiques (IHES)

Birational and Singularity Invariants from Non-Commutative Hodge Theory

Explore new additive invariants of smooth projective varieties called Hodge atoms, their applications to birational equivalence, and novel singularity invariants in algebraic geometry.

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

Institut des Hautes Etudes Scientifiques (IHES)

Some Applications of Non-Abelian Hodge Theory

Explore applications of non-abelian Hodge theory in studying meromorphic flat bundles and holonomic D-modules, including Barannikov-Kontsevich theorem and irregular Hodge filtration.

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

Institut des Hautes Etudes Scientifiques (IHES)

Exponential Volumes in Geometry and Representation Theory

Explore exponential volumes in geometry and representation theory, focusing on moduli spaces, hyperbolic structures, and Lie groups. Discover connections to Mirzakhani's recursions and Whittaker functions.

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

Institute for Advanced Study

K-Theory and Dualizable Categories

Explore K-theory and dualizable categories with Grigory Andreychev, delving into advanced mathematical concepts and their applications in theoretical physics.

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

Institute for Advanced Study

Non Abelian Hodge Theory in Positive Characteristic

Explore non-abelian Hodge theory in positive characteristic with Siqing Zhang, delving into advanced mathematical concepts and their applications.

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

NPTEL-NOC IITM

Lorentz Group in Quantum Field Theory

Explore the Lorentz Group in quantum field theory, focusing on scalar fields. Gain insights into fundamental concepts with Prof. Anurag Tripathi from IIT Hyderabad.

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

NPTEL-NOC IITM

Feynman Propagator in Quantum Field Theory - Part 2

Explore the Feynman propagator in quantum field theory, focusing on scalar fields and their theoretical implications in particle physics.

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

NPTEL-NOC IITM

Optical Waveguides - Theory and Design of 2D Confined Optical Waveguides

Explore the theory and design principles of optical waveguides with 2D confinement, enhancing your understanding of advanced photonics concepts.

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

NPTEL-NOC IITM

Lorentz Transformations in Quantum Field Theory

Explore Lorentz transformations in quantum field theory, focusing on scalar fields. Gain insights into this fundamental concept from Prof. Anurag Tripathi of IIT Hyderabad.

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

NPTEL-NOC IITM

Calculation and Graph Plotting for Conductometric Experiments

Learn to calculate and plot graphs for conductometric experiments, enhancing your analytical skills in electrochemistry.

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

NPTEL-NOC IITM

FDTD: Materials and Boundary Conditions - PML Theory Summary

Explore PML theory in FDTD simulations for materials and boundary conditions. Learn key concepts and applications in electromagnetic modeling.

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