International Centre for Theoretical Sciences Courses

Random Matrix Theory and Its Applications - Lecture 3

Explore advanced random matrix theory concepts, including complex quaternionic matrices, rotationally invariant ensembles, and applications to disordered systems in this in-depth lecture.

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

Random Matrix Theory and Its Applications - Lecture 5

Explore advanced random matrix theory concepts, including Gaussian ensembles, coarse-graining techniques, and the Wigner semi-circular law in this comprehensive lecture.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video

Random Matrix Theory and its Applications - Lecture 2

Explore advanced concepts in random matrix theory, including linear algebra basics, operators, transformations, eigenvectors, and various matrix ensembles, with applications in statistical physics.

• YouTube
• 1 hour 28 minutes
• On-Demand
• Free Video

Phase Transitions in Hard-Core Systems - Lecture 1

Explore phase transitions in hard-core systems, from basic concepts to advanced topics like fluid-solid transitions in hard spheres and phase changes in long rods. Includes theoretical foundations and computational approaches.

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

Dynamical Phase Transitions in Markov Processes by Hugo Touchette

Explore dynamical phase transitions in Markov processes, contrasting with equilibrium transitions and examining a Brownian motion model showcasing localization-delocalization phenomena.

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

A Mathematical Adventure in Immunology by Carmen Molina-Paris

Explore the immune system's complexity through mathematical modeling, examining cell interactions, disease prevention, and quantifying pathogen infectivity.

• YouTube
• 1 hour 43 minutes
• On-Demand
• Free Video

RKKY Interactions on Dirac Surfaces by Herbert A Fertig

Exploración de interacciones RKKY en superficies de Dirac, enfocándose en grafeno y aislantes topológicos. Análisis de correlaciones antiferromagnéticas, ferromagnetismo inducido y efectos de tensión en propiedades magnéticas.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Introduction to Integer Quantum Hall Effect by Ganpathy Murthy

Comprehensive introduction to integer quantum Hall effect, covering classical Hall effect, Hamiltonian, Landau gauge, and conductivity equations. Includes gauge arguments and practical applications.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Theory of Disorder-Induced Half-Integer Thermal Hall Conductance by Mitali Banerjee

Explores disorder-induced half-integer thermal Hall conductance in fractional quantum Hall systems, focusing on experimental techniques, theoretical models, and implications for topological states of matter.

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

Metamaterials and Topological Mechanics - Lecture 2

Explores classical elasticity, free energy, and stress in metamaterials. Covers isotropic materials, Lame coefficients, and uniaxial crystals. Discusses forces and stresses in topological mechanical systems.

• YouTube
• 1 hour 28 minutes
• On-Demand
• Free Video

The Realm of Supermassive Black Holes - Lecture 13

Explore the realm of supermassive black holes, from quasars to radio galaxies. Learn about their discovery, properties, and recent observations, including the groundbreaking image from the Event Horizon Telescope.

• YouTube
• 1 hour 41 minutes
• On-Demand
• Free Video

Universe or Multiverse? - Neutron Stars and Black Holes Lecture 14

Explore the universe's expansion, cosmic microwave background, and inflationary theories. Delve into cosmological phase transitions, gauge theories, and the concept of multiverses in this comprehensive lecture.

• YouTube
• 2 hours 14 minutes
• On-Demand
• Free Video

Introduction to NetLogo by Bill Rand

Learn agent-based modeling with NetLogo to simulate complex systems, explore emergence, and understand when to use ABM for research in social sciences and economics.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Where Does the Statistics of Complex Systems Come From?

Explore the origins of complex systems statistics through sample space reducing processes, Zipf's law, and network diffusion. Gain insights into driven non-equilibrium systems and their statistical properties.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Metamaterials and Topological Mechanics - Lecture 1

Explore metamaterials and topological mechanics, focusing on engineered structures with unique properties like negative refraction and protected edge states. Learn about applications in optics and elasticity.

• YouTube
• 1 hour 28 minutes
• On-Demand
• Free Video