Graph Theory Courses

International Centre for Theoretical Sciences

Knot Polynomials from Chern-Simons Field Theory and Their String Theoretic Implications by P. Ramadevi

Explore knot polynomials, Chern-Simons theory, and string theory connections. Learn about knot classification, invariants, homology, and gauge-string duality in topological strings. Discover M-theory descriptions and brane constructions.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Geometric Langlands Conjecture and Non-Abelian Hodge Theory - Lecture 1

Explore the Geometric Langlands conjecture and non-abelian Hodge theory, examining connections between quantum fields, geometry, and representation theory in modern mathematics and theoretical physics.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Time-Independent Scattering Theory and Its Dynamical Formulation - Lecture 3

Explores time-independent scattering theory and its dynamical formulation, covering topics like transfer matrices, scattering amplitudes, and exactly solvable potentials in 2D systems.

• YouTube
• 1 hour 27 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Introduction to the Coalescent Theory - Lecture 3

Explores coalescent theory in population genetics, covering selection models, detecting selection, local adaptation, and challenges in interpreting genetic data for evolutionary insights.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Introduction to the Coalescent Theory - Lecture 2

Explore coalescent theory, population genetics, and evolutionary processes. Covers effective population size, migration, recombination, and linkage disequilibrium. Includes examples and simulations to illustrate key concepts.

• YouTube
• 1 hour 27 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Introduction to Coalescent Theory - Lecture 1

Explore coalescent theory in population genetics, covering Wright-Fisher models, mutation rates, and applications to human evolution. Gain insights into analyzing genetic data and detecting population changes.

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

International Centre for Theoretical Sciences

Conformal Bootstrap: Techniques for Studying Conformal Field Theory - Lecture 1

Explore conformal field theory techniques, including conformal algebra, primary operators, OPE, stress tensor, and scalar operator functions. Gain insights into this fundamental approach in theoretical physics.

• YouTube
• 1 hour 42 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Quantum Field Theory as the Language of Physics by Nathan Seiberg

Explore quantum field theory's role as the universal language of physics, its applications, limitations, and potential reformulation in this insightful talk by Nathan Seiberg.

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

International Centre for Theoretical Sciences

Dynamics of 2+1-dimensional Quantum Field Theory - Lecture 2

Explore advanced concepts in 2+1D quantum field theory, focusing on symmetries, topology, and duality. Gain insights into recent developments and their applications across physics disciplines.

• YouTube
• 1 hour 35 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Harmonic Maps Between Surfaces and Teichmüller Theory - Lecture 1

Explore harmonic maps between surfaces, their applications, and connections to Teichmüller theory in this advanced lecture on geometric analysis and complex geometry.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Entanglement Entropy, Quantum Field Theory, and Holography by Matthew Headrick

Explore entanglement entropy in quantum systems, focusing on its applications in field theory and holography. Learn about classical and quantum correlations, mutual information, and entropy in spin systems.

• YouTube
• 1 hour 35 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

From Information Theory to Learning via Statistical Physics - Introduction

Explore connections between information theory, statistical physics, and learning. Delve into classical statistics, high-dimensional problems, and Bayesian approaches, with applications in signal processing and regression.

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

Applied Algebraic Topology Network

Yusu Wang - Graph Neural Network: Representational Power and Limitations

Explore graph neural networks' power and limitations, focusing on representation capabilities, Weisfeiler-Lehman tests, and universal approximation results for informed practical applications.

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

Applied Algebraic Topology Network

Discrete Homotopy Theory and Applications

Explore discrete homotopy theory's evolution, applications in topology, geometry, and group theory. Learn simplified approaches to fundamental groups and covering spaces, with insights into various mathematical domains.

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

Applied Algebraic Topology Network

Bastian Rieck - Topological Graph Neural Networks

Explore topological data analysis in graph representation learning, focusing on novel techniques that incorporate topological features to enhance graph neural networks' expressivity and performance.

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