Graph Theory Courses

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Gromov-Hausdorff Theory for Lorentzian Spaces

Explore Gromov-Hausdorff distance for bounded Lorentz-metric spaces, addressing stability in geometric conditions and its relevance to Einstein equations and cosmic censorship.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Timelike Ricci Bounds and Einstein's Theory of Gravity in Non-Smooth Settings

Explore Lorentzian synthetic spaces, optimal transport theory, and timelike Ricci curvature bounds to characterize Einstein's equations in non-smooth spaces, with applications to gravity.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A Nonsmooth Approach to Einstein's Theory of Gravity

Explore a nonsmooth approach to Einstein's gravity theory, focusing on reformulating curvature concepts and developing a synthetic null energy condition for Lorentzian spaces.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Inverse Spectral Theory for Strings and the Conservative Camassa-Holm Flow

Explore inverse spectral theory for generalized indefinite strings and its application to the conservative Camassa-Holm flow, focusing on characterizing spectral measures and Weyl-Titchmarsh functions.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Relative Oscillation Theory and Essential Spectra of Sturm-Liouville Operators

Explore relative oscillation theory for Sturm-Liouville operators, examining perturbation results and essential spectra invariance in terms of real coefficients p, q, and r.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Quantum Simulation of Conformal Field Theory

Explore quantum algorithms for simulating conformal field theory dynamics and local conformal transformations in scaling-symmetric systems.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

An Effective Field Theory for Holographic Random Matchgate Tensor Networks

Explore effective field theory for random matchgate tensor networks, analyzing phase transitions and topological connections in 2D systems with open physical boundaries.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

Prague Mathematical Physics Seminar

Higher Gauge Theory

Explore advanced concepts in higher gauge theory, delving into mathematical physics principles and their applications in modern theoretical frameworks.

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

Prague Mathematical Physics Seminar

Bethe Equations and 2D Conformal Field Theory

Explore Bethe equations and their connection to 2D conformal field theory in this advanced mathematical physics seminar.

• YouTube
• 1 hour 47 minutes
• Self-Paced
• Free Video

Dublin Institute for Advanced Studies DIAS

A Simple Axiom for Euclidean Quantum Field Theory

Explore a concise mathematical definition of quantum field theory and its implications for physics through a categorical approach to Riemannian manifolds and Hilbert spaces.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Dublin Institute for Advanced Studies DIAS

Learning Theory-Informed Priors for Bayesian Inference - A Case Study with Early Dark Energy

Explore novel methods for learning theory-informed priors in Bayesian inference using normalizing flows, with applications to early dark energy models in cosmology.

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

Dublin Institute for Advanced Studies DIAS

Fluid Dynamics, Edge Modes and Their Applications in Group Theory and QCD

Explore fluid dynamics through group theory, analyzing anomalies and spin-orbit coupling. Delve into color charge dynamics using edge modes in nonabelian gauge theories, leading to QCD color flow equations.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

Dublin Institute for Advanced Studies DIAS

An Overview of the E11 Program in String Theory and Supergravity

Explore E11 Kac-Moody symmetry in string theory, its relation to supergravity, and implications for extended spacetime. Delve into recent applications in four-dimensional gravity and open questions.

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

Dublin Institute for Advanced Studies DIAS

Entanglement Resolution and Boundary Conformal Field Theory

Explore entanglement spectra and symmetry-resolved entanglement in conformal field theory, focusing on U(1) Kac-Moody and Virasoro algebra symmetries.

• YouTube
• 1 hour 29 minutes
• Self-Paced
• Free Video

Dublin Institute for Advanced Studies DIAS

Maxwell Theory of Fractons

Explore the generalized covariant Maxwell-like action for fractons, their relation to gravitons, and the derivation of fracton properties from field equations and symmetries.

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