Graph Theory Courses

International Centre for Theoretical Sciences

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

International Centre for Theoretical Sciences

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

International Centre for Theoretical Sciences

Einstein's General Theory of Relativity - Lecture 7

Explore Einstein's General Theory of Relativity, from its historical context to key concepts like the principle of equivalence, gravitational redshift, and field equations. Gain insights into this revolutionary theory of gravity.

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

International Centre for Theoretical Sciences

Sequence Alignment - Hidden Markov Models, Category Theory and All That Jazz by Soumyashant Nayak

Explore sequence alignment methods, from traditional algorithms to modern pseudo-alignment techniques, with insights on hidden Markov models and applications in RNA-Seq data analysis and evolutionary genetics.

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

International Centre for Theoretical Sciences

Random Matrix Theory and its Applications - Lecture 4

Explore advanced concepts in Random Matrix Theory, including rotational invariance, correlation functions, spacing distributions, and applications to complex systems stability.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Random Matrix Theory and Its Applications - Lecture 3

Explore advanced random matrix theory concepts, including complex quaternionic matrices, rotationally invariant ensembles, and applications to disordered systems in this in-depth lecture.

• YouTube
• 1 hour 32 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Random Matrix Theory and Its Applications - Lecture 5

Explore advanced random matrix theory concepts, including Gaussian ensembles, coarse-graining techniques, and the Wigner semi-circular law in this comprehensive lecture.

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

International Centre for Theoretical Sciences

Random Matrix Theory and its Applications - Lecture 2

Explore advanced concepts in random matrix theory, including linear algebra basics, operators, transformations, eigenvectors, and various matrix ensembles, with applications in statistical physics.

• YouTube
• 1 hour 28 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Theory of Disorder-Induced Half-Integer Thermal Hall Conductance by Mitali Banerjee

Explores disorder-induced half-integer thermal Hall conductance in fractional quantum Hall systems, focusing on experimental techniques, theoretical models, and implications for topological states of matter.

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

International Centre for Theoretical Sciences

Branes and Quivers in String Theory - Lecture 1

Explore connections between string theory, branes, and quivers. Learn about spatial dimensions, brain setups, Coulomb branches, and moduli spaces in this advanced theoretical physics lecture.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Musings on Entanglement Entropy in String Theory - Lecture 3

Explore entanglement entropy in string theory, focusing on UV divergences, black hole entropy, and worldsheet perspectives. Delve into gauge transformations, diffeomorphisms, and path integrals.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Musings on Entanglement Entropy in String Theory - Lecture 1

Exploración avanzada de la entropía de entrelazamiento en teoría de cuerdas, abordando divergencias UV y su posible resolución, con aplicaciones a la entropía de agujeros negros.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Musings on Entanglement Entropy in String Theory - Lecture 2

Explore entanglement entropy in string theory, focusing on UV divergences, black hole entropy, and worldsheet perspectives. Delve into advanced concepts and recent developments in theoretical physics.

• YouTube
• 1 hour 41 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

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

International Centre for Theoretical Sciences

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