International Centre for Theoretical Sciences Courses

Introduction to Cluster Algebras and Their Types - Lecture 1

Explore cluster algebras: quivers, mutations, exchange graphs. Learn foundations and key concepts of this algebraic framework with applications across mathematics.

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

Scattering Amplitudes and Positive Grassmannian by Jaroslav Trnka

Explore connections between scattering amplitudes and positive Grassmannians, covering on-shell diagrams, permutations, and cluster algebras. Gain insights into particle physics and mathematical structures.

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

The Interior of Neutron Stars - Lecture 4

Explore neutron star interiors, from formation to exotic states of matter. Delve into superfluidity, superconductivity, and their implications for neutron star physics and behavior.

• YouTube
• 1 hour 52 minutes
• On-Demand
• Free Video

Entropy in Self-Assembly - Lecture 1

Explore entropy's role in self-assembly, from hard sphere systems to DNA-coated colloids. Learn about phase transitions, depletion forces, and shape-dependent interactions in soft matter physics.

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

From Self-Assembly to Cell Recognition - Lecture 2

Explores self-assembly in soft matter, focusing on DNA-mediated interactions, addressable complexity, and multivalent binding. Covers applications in materials science and cell recognition, with insights into nucleation, growth, and selectivity.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Spectral Graph Theory - Lecture 1

Explore spectral graph theory, covering self-adjoint matrices, Rayleigh equalities, graph isomorphism, Cayley graphs, and automorphism groups. Gain insights into complex systems and network analysis.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video

White Dwarf Stars: Formation, Structure, and Evolution - Lecture 2

Explore white dwarf stars, their quantum nature, and formation process. Learn about Chandrasekhar's groundbreaking theory, relativistic effects, and the ultimate fate of low-mass stars in this comprehensive lecture.

• YouTube
• 1 hour 55 minutes
• On-Demand
• Free Video

Perturbation Methods for Nonlinear PDEs - Lecture 3

Explore advanced perturbation techniques for nonlinear PDEs, focusing on multiple scales, asymptotic analysis, and the interplay between linear waves and nonlinearity in various scientific contexts.

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

Perturbation Methods for Nonlinear PDEs - Lecture 4

Explore perturbation methods for nonlinear PDEs, focusing on shallow water waves and damped KDV models. Learn unified approaches to adapt linear equation techniques to nonlinear contexts.

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

Perturbation Methods for Nonlinear PDEs - Lecture 2

Explore perturbation methods for nonlinear PDEs, focusing on nonlinear oscillators and periodic solutions. Learn techniques like inner products, perturbation series, and 2Pi periodicity to tackle complex equations.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video

The Fascinating World of Turbulent Flows by Samriddhi Sankar Ray

Explore the complex world of turbulent flows, their ubiquitous presence in nature, and their impact on small particles. Discover why turbulence remains an unsolved problem in physics and its significance in various natural processes.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Overview Lecture on Basics of Frustrated Magnets - ABC of Neutron Scattering by Jason Gardner

Comprehensive overview of neutron scattering techniques for studying frustrated magnets, covering theory, experimental methods, and applications to various quantum magnetic systems.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Perturbation Methods for Nonlinear PDEs - Lecture 1

Explore perturbation methods for nonlinear PDEs, focusing on adapting linear equation techniques. Learn unified approaches through examples from cold atoms, water waves, and atmospheric science.

• YouTube
• 1 hour 36 minutes
• On-Demand
• Free Video

Unseen at Last - The Black Hole in M87 by Rajaram Nityananda

Explore the groundbreaking M87 black hole image, its scientific significance, and the advanced techniques used to capture it. Learn about black hole physics and their role in galactic centers.

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

The Grothendieck Inequality by Gadadhar Misra

Explore the Grothendieck inequality, its consequences, and related concepts in mathematics. Learn about max cut problems, cut norms, and proofs, including Kirvine's approach to this fundamental inequality.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video