International Centre for Theoretical Sciences Courses

The Man Who Invented Calculus - The Life and Work of Madhava - Lecture 3

Explore Madhava's groundbreaking mathematical contributions, including calculus foundations, infinite series, and abstract approaches, in this lecture by P P Divakaran on the 14th-century Kerala mathematician's life and work.

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

The Man Who Invented Calculus: The Life and Work of Madhava - Lecture 2

Explore Madhava's groundbreaking calculus work, including curve length definitions, tangent lines, and integral concepts. Gain insights into his mathematical innovations and their historical significance.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

The Man Who Invented Calculus: The Life and Work of Madhava - Lecture 1

Explore Madhava's groundbreaking mathematical contributions, including calculus innovations, and his impact on Kerala's mathematical renaissance. Gain insights into his life and historical context.

• YouTube
• 1 hour 58 minutes
• Self-Paced
• Free Video

Drift, Inbreeding, and Ne

Explore genetic drift, inbreeding, and effective population size through probability theory, distributions, and evolutionary concepts. Gain insights into population genetics and its applications in evolutionary biology.

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

Topological Phases of Quantum Matter

Explore topological phases in quantum matter, from quantum Hall effect to topological insulators and superconductors. Learn about edge states, bulk-boundary correspondence, and current frontiers in this fascinating field of physics.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Phases to Phases - An Invitation to Topological Phases of Many Particles by Vijay Shenoy

Explore topological phases in many-particle systems, covering quantum condensed matter physics, electronic phases, and the tenfold way. Gain insights into topological insulators and their potential technological applications.

• YouTube
• 1 hour 50 minutes
• Self-Paced
• Free Video

Geometric Phases and the Separation of the World by Michael Berry

Explore geometric phases in physics, from historical discoveries to modern applications. Delve into mathematical foundations, experimental demonstrations, and implications for optics and quantum mechanics.

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

Geometry and Topology in Quantum Mechanics - Mathematical Properties

Explore geometric phases in quantum mechanics, from foundational concepts to advanced topics like Berry phases and null phase curves, with applications in optics and condensed matter physics.

• YouTube
• 1 hour 55 minutes
• Self-Paced
• Free Video

Modular Theory and Quantum Field Theory - Lecture 1

Explore modular theory in quantum field theory, covering observables, operators, and superselection sectors. Gain insights into correlation functions and state sewing in QFT.

• YouTube
• 1 hour 41 minutes
• Self-Paced
• Free Video

Magnetic Reconnection - Plasmoid Instability in an Experimentally Accessible Regime by Pallavi Bhat

Explore magnetic reconnection and plasmoid instability in the semi-collisional regime, with theoretical and numerical investigations validating its existence at lower, experimentally accessible Lundquist numbers.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Loss Landscape and Performance in Deep Learning by Stefano Spigler

Explore deep learning's loss landscape, performance, and theoretical insights. Discover connections to statistical physics, jamming, and neural tangent kernels. Gain understanding of learning dynamics and network behavior.

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

Introductory Lectures on First-Order Convex Optimization - Lecture 1

Explore first-order convex optimization, covering gradient descent, complexity, smoothness, and Nesterov's accelerated algorithm. Gain insights into theoretical foundations and practical applications in machine learning.

• YouTube
• 1 hour 44 minutes
• Self-Paced
• Free Video

Emperor Ashoka – History, Memory, Memorialization by Nayanjot Lahiri

Explore Emperor Ashoka's historical impact and cultural legacy across South Asia and beyond, examining archaeological evidence, religious sites, and regional interpretations of his reign and influence.

• YouTube
• 1 hour 32 minutes
• Self-Paced
• Free Video

3D Gravity, Chern-Simons Theory, and Wilson Lines - Lecture 3

Explore non-perturbative aspects of 3D gravity and Chern-Simons theory, focusing on Wilson lines as observables to investigate locality in quantum gravity and holography.

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

Order, Disorder and Entropy - Lecture 1

Explore entropy's evolving concept, from disorder measure to complex systems driver. Gain insights on self-assembly, cell recognition, and phoretic transport in nanoscale phenomena.

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