Graph Theory Courses

International Centre for Theoretical Sciences

Basic Homotopy Theory by Samik Basu

Explore fundamental concepts in homotopy theory, including maps, CW complexes, equivalences, and fibrations. Gain insights into key computations and sequences in this foundational area of topology.

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

International Centre for Theoretical Sciences

Essential Cosmological Perturbation Theory by David Wands

Explore essential cosmological perturbation theory, from metric perturbations to gravitational waves, and its role in understanding cosmic structure and the early universe.

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

International Centre for Theoretical Sciences

Nonequilibrium Response Theory - Lecture 1

Explore nonequilibrium response theory, covering fluctuations, linear response, and the fluctuation-dissipation theorem. Gain insights into equilibrium and dynamic responses in statistical physics.

• YouTube
• 1 hour 23 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Additive Number Theory - Extremal Problems and the Combinatorics of Sumsets by M. Nathanson

Explore extremal problems and combinatorics of sumsets in additive number theory, covering density, lower bounds, Cauchy-Davenport theorem, and Erdos-Turan conjecture.

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

International Centre for Theoretical Sciences

Mirror Symmetry for Character Varieties and Field Theory by Sergey Galkin

Explore mirror symmetry for character varieties, using threespace mirrors to construct SU(2) character variety mirrors on Riemann surfaces, with applications in topological field theory and random walks.

• YouTube
• 3 hours 12 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

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

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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video