International Centre for Theoretical Sciences Courses

Forced Integrable Systems - The Case of Sine-Gordon Equation by Vasudeva Murthy

Explore forced integrable systems, focusing on the sine-Gordon equation. Examine its applications in tectonic stress transfer and crack dynamics, with insights on boundary conditions and numerical methods.

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

Basic Lectures on Bethe Ansatz - Pedagogical Lecture 2

Comprehensive lecture on Bethe Ansatz, covering integrable models, spin excitations, prethermalization, and algebraic approaches. Explores key equations, Fourier space, and the 6-vertex model for advanced physics students.

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

Finite-Size Effects in Integrable Systems - Lecture 3

Explore finite-size effects, revivals, and conservation laws in integrable systems. Gain insights into macro states, thermodynamic entropy, and the string hypothesis for interacting models.

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

The Computational Theory of Riemann-Hilbert Problems - Lecture 1

Explore computational approaches to Riemann-Hilbert problems, covering key concepts like Cauchy integrals and analytic functions. Gain insights into this fundamental topic in mathematical physics.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Introduction to Dynamical Systems - Lecture 2

Explore non-smooth dynamical systems, bifurcations, and complex networks. Learn about border collision, switched systems, and applications in engineering and natural phenomena.

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

Introduction to Dynamical Systems - Lecture 1

Explore dynamical systems, from linear ODEs to nonlinear chaos. Learn about equilibrium points, eigenvalues, attractors, and bifurcations. Gain insights into Lorenz systems, Poincaré maps, and iterative methods.

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

Aspects of De Sitter Space - Lecture 2

Explore advanced concepts in de Sitter spacetimes, quantum mechanics, and cosmology. Delve into wave functions, SO(1,4) groups, and the dS/CFT correspondence with expert insights.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

Aspects of De Sitter Space - Lecture 3

Explore advanced concepts in de Sitter spacetimes, including quantum aspects, dS/CFT correspondence, and higher spin theories. Gain insights into cosmological horizons and their unique properties.

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

Aspects of De Sitter Space - Lecture 1

Explore de Sitter spacetimes, quantum aspects, and their relation to conformal theories. Delve into Vasiliev theory and compare cosmological and black hole horizons in this advanced physics lecture.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

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
• Self-Paced
• Free Video

Topological Strings, Knots, and Quivers - Lecture 1

Explore topological strings, knots, and quivers in this lecture covering knot invariants, Chern-Simons theory, A-polynomials, volume conjectures, and knot homology, with exercises and examples.

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

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
• Self-Paced
• Free Video

Moduli Spaces of Parabolic Connections and Parabolic Bundles and Geometric Langlands by M-H Saito

Explore moduli spaces of parabolic connections and bundles, their properties, and applications in Geometric Langlands. Covers deformation theory, symplectic structures, and key theorems in this advanced mathematical topic.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video

Mechanics of Wrinkling, Folding and Crumpling - Lecture 1

Explore geometric flexibility in nature and technology, from sea urchins to fabric. Learn stress, pressure, torque balance, and material constants in wrinkling and folding mechanics.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

Quantum Computation: Introduction and Fundamentals - Lecture 1

Comprehensive introduction to quantum computation, covering key concepts like quantum parallelism, annealing, gates, and qubits. Explores various quantum computer types and fundamental operations in quantum mechanics.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video