International Centre for Theoretical Sciences Courses

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

Flat Bands in Twisted Bilayer Transition Metal Dichalcogenides by Manish Jain

Explore flat bands in twisted bilayer transition metal dichalcogenides, focusing on Moire patterns, electronic structure, and localization effects in various twist angles and stacking configurations.

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

Floquet Engineering of Quantum Scars by Krishnendu Sengupta

Explore quantum scars in many-body systems, focusing on Floquet engineering techniques and their applications to Rydberg atom chains. Examine dynamics, phase diagrams, and effects of noise on coherent oscillations.

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

Modular Forms by Mahesh Kakde

Comprehensive exploration of modular forms, covering definitions, properties, and applications. Delves into Eisenstein series, theta functions, and related mathematical concepts for advanced learners in number theory.

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

Introduction to Sphere Packing Problems by Abhinav Kumar

Explore sphere packing in geometry, covering its history, applications, and recent advances. Learn about lattices, codes, bounds, and energy minimization in various dimensions.

• YouTube
• 1 hour 39 minutes
• On-Demand
• Free Video

Quadratic Forms and Hermite Constant, Reduction Theory by Radhika Ganapathy

Explores techniques for computing densest lattice packings, including quadratic forms, Hermite constants, and reduction theory. Covers perfect forms, eutactic lattices, and Voronoi's algorithm for listing perfect forms.

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

GAP Installation and Practical Introduction - Lecture 2

Practical introduction to GAP software for group theory computations, covering installation, basic commands, and exercises on symmetric groups, conjugacy classes, and finite group enumeration.

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

Statistical Physics and Statistical Inference - Lecture 2

Explore statistical physics and inference, covering Bayesian methods, error correction, spin glasses, and advanced algorithms like belief propagation. Gain insights into phase transitions and applications in machine learning.

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

Artificial Intelligence: Success, Limits, Myths and Threats - Lecture 1

Explore AI's successes, limitations, and societal impact. Delve into machine learning, neural networks, and the future of AI. Gain insights on scientific intelligence and ethical considerations.

• YouTube
• 1 hour 48 minutes
• On-Demand
• Free Video

Turbulence - Arrow of Time and Equilibrium-Nonequilibrium Behaviour

Explore turbulence, time's arrow, and equilibrium-nonequilibrium behavior. Delve into fundamental physics concepts, Kolmogorov's theory, energy transfer, and connections to kinetic theory and cosmology.

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

Structure of Group Rings and the Group of Units of Integral Group Rings - Lecture 1

Explores group rings, their structure, and units of integral group rings. Covers idempotents, invertible elements, augmentation mapping, and constructions of units including Bass and cyclotomic units.

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

Gamma Convergence - Lecture 2

Explore gamma convergence, minimization problems, and homogenization in this advanced mathematics lecture. Learn about coercivity, lower semicontinuity, and integral functions in the context of multi-scale analysis.

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

From Local to Global Holomorphic Peak Functions - Lecture 1

Explore holomorphic peak functions in complex analysis, from local to global perspectives. Gain insights into Cauchy-Riemann equations, L2-theory, and applications in higher-dimensional complex manifolds.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

The Monge-Ampère Equations and the Bergman Kernel - Lecture 1

Explore complex analysis in higher dimensions, focusing on Cauchy-Riemann equations, L2 theory, and applications to geometry. Learn about Bergman kernels and extension theorems in this advanced mathematics lecture.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video