International Centre for Theoretical Sciences Courses

The Computational Theory of Riemann-Hilbert Problems - Lecture 4

Explores computational approaches to Riemann-Hilbert problems, covering Cauchy integrals, Sobolev spaces, and applications to nonlinear equations like Schrödinger and KdV, with code demonstrations and numerical solution techniques.

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

Mathematics of Machine Learning: An Introduction - Lecture 1

Comprehensive introduction to machine learning fundamentals, covering mathematical formalization, deep learning concepts, optimization techniques, and real-world applications in various domains.

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

The Analytic S-matrix Bootstrap - Lecture 1

Explore the S-matrix bootstrap approach in string theory, covering classic results and recent developments in analytic and numerical methods for solving theories through internal consistency.

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

X-ray and Microwave Cosmology: Synergy and Competition - Lecture 1

Explore X-ray and microwave cosmology, focusing on CMB interactions with hot electrons and their impact on our understanding of the Universe. Learn about cutting-edge telescopes and spacecraft.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Observing the Birth of the Universe by Lyman Page

Explore the cosmic microwave background, its measurement techniques, and implications for understanding the early universe and gravitational waves in this comprehensive lecture by a Princeton physicist.

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

Topics in Quantum Chaos - An Infosys Prize Lecture by Nalini Anantharaman

Explore quantum chaos, from Einstein's inquiries to recent developments in quantum ergodicity and toy models, examining spectral statistics, billiards, and random graphs to understand chaotic wave behavior in quantum mechanics.

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

Is the Universe Geometric or Algebraic? by Minhyong Kim

Explore the interplay between geometry and algebra in understanding the universe, from ancient concepts to modern physics, with insights on perception, reality, and mathematical foundations.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

The Discrete Charm of Geometry by Alexander Bobenko

Explore the fascinating world of discrete geometry and its applications in architecture, computer graphics, and physics. Discover structure-preserving discretizations through simple examples and stunning visuals.

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

Shock Waves and Turbulence - Physical Modeling, Numerical Challenges

Explore shock waves and turbulence in high-speed flows, covering physical modeling, numerical simulations, and applications in aerospace and astrophysics. Learn about shock-turbulence interactions and heat transfer.

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

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
• On-Demand
• 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
• On-Demand
• 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
• 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