International Centre for Theoretical Sciences Courses

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

Introduction to Random Walks and Markov Processes - Preparatory Lecture 1

Comprehensive introduction to random walks and Markov processes, covering discrete and continuous cases, evolution equations, and master equations for advanced statistical physics students.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

PT Symmetry in Optics, Exceptional Points and Bound States in the Continuum

Explore PT symmetry in optics, exceptional points, and bound states in the continuum. Discover applications in quantum physics, optics, and modified KdV equations.

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