Graph Theory Courses

Fields Institute

HiGHS - Theory, Software and Impact

Explore the theory, software, and impact of HiGHS optimization solver, covering simplex methods, hyper-sparsity, parallel solutions, and performance across various problem types.

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

Fields Institute

Arithmetic Statistics and the Iwasawa Theory of Elliptic Curves

Explore arithmetic statistics and Iwasawa theory of elliptic curves, covering Selmer groups, Greenberg's Conjecture, and p-adic Birch and Swinnerton-Dyer Conjecture in this advanced number theory seminar.

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

Fields Institute

Model Spaces in Analytic Function Theory - Part 1

Explore model spaces in function theory, covering key concepts like reproducing kernels and inner function spectra. Gain insights into both finite and infinite dimensional cases.

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

Fields Institute

Invariant Theory for Maximum Likelihood Estimation

Explore connections between maximum likelihood estimation and invariant theory stability in log-linear and Gaussian group models, with applications to statistical modeling.

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

Fields Institute

Rigidity Theory for Gaussian Graphical Models - The Maximum Likelihood Threshold of a Graph

Explore rigidity theory's application to Gaussian graphical models, focusing on maximum likelihood thresholds and their implications for data analysis in genomics and other fields.

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

International Centre for Theoretical Sciences

The Tropical Limit of String Theory and Feynman Integrals

Explore the intersection of string theory, Feynman integrals, and tropical geometry. Discover how tropical limits provide insights into complex physical phenomena and algebraic structures.

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

International Centre for Theoretical Sciences

Entanglement in Quantum Field Theory and Quantum Gravity - Lecture 1

Explore entanglement in quantum field theory and quantum gravity, covering path integrals, quantum entropy, Unruh radiation, and entanglement entropy in 2D conformal field theory.

• YouTube
• 1 hour 47 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Cosmological Perturbation Theory - Lecture 1

Explore cosmological perturbation theory, from the universe's history to advanced concepts like scalar, vector, and tensor perturbations, Fourier transforms, and power spectra. Gain insights into cosmic microwave background and general relativity.

• YouTube
• 2 hours 1 minute
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Cosmological Perturbation Theory - Lecture 2

Explore advanced concepts in cosmological perturbation theory, including metric perturbations, gravitational waves, and gauge transformations. Gain insights into various gauge choices and their implications for understanding the early universe.

• YouTube
• 1 hour 37 minutes
• On-Demand
• Free Video

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