Erwin Schrödinger International Institute for Mathematics and Physics (ESI) Courses

Gross-Pitaevskii Equation for Supersolids

Explore the mathematical physics of supersolids through the Gross-Pitaevskii equation, examining phase transitions and periodic solutions in infinite Bose gas condensates.

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

Damping of Phonons at Low Temperature

Explore phonon decay rates in interacting Bose gas at low temperatures, covering Beliaev and Landau damping mechanisms through Bogoliubov approximation and Fermi Golden Rule.

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

About the Observation of Bose-Einstein Condensation in Liquid 4He

Explore the century-long journey from Einstein's 1925 prediction to experimental observation of Bose-Einstein condensation in superfluid helium, including neutron scattering breakthroughs.

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

Recent Developments in the Analysis of Bose Gases at Positive Temperature

Explore advanced mathematical physics techniques for analyzing weakly interacting Bose gases, covering Gibbs states, particle distributions, and thermodynamic limits.

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

Exact Solution of Many-Body Problems Using Quantum Monte Carlo - Applications to Ultracold Atoms

Explore quantum Monte Carlo methods for solving many-body Bose particle systems, covering ultracold atoms, dipolar systems, and Lieb-Liniger model applications.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Infinite-Dimensional Geometry - Theory and Applications

Explore infinite-dimensional geometry from abstract theory to medical applications through 5 weeks of mini-courses covering manifolds, dynamical systems, shape analysis, and real-world uses.

• YouTube
• 2 days 18 hours 49 minutes
• Self-Paced
• Free Video

Nonlinear Waves and Relativity

Explore advanced mathematical physics through dispersive PDEs and general relativity, covering scattering theory, wave equations, and spacetime dynamics in this comprehensive program.

• YouTube
• 22 hours 20 minutes
• Self-Paced
• Free Video

Carrollian Physics and Holography

Explore the mathematical foundations of Carrollian physics, where spacetime behaves ultralocally as light speed approaches zero, and its applications in holography and gravity.

• YouTube
• 1 day 7 hours 36 minutes
• Self-Paced
• Free Video

Spectral Theory and Mathematical Relativity

Explore advanced spectral methods in general relativity, covering quantum field theory, black hole stability, and mathematical frameworks for spacetime analysis.

• YouTube
• 1 day 5 hours 56 minutes
• Self-Paced
• Free Video

Tensor Networks: Mathematical Structures and Novel Algorithms

Explore advanced mathematical structures and cutting-edge algorithms in tensor networks through expert presentations on quantum lattice models, phase transitions, and many-body systems.

• YouTube
• 1 day 7 hours 7 minutes
• Self-Paced
• Free Video

Higher Structures and Field Theory

Explore advanced mathematical structures connecting geometry, algebra, and quantum field theory through expert lectures on Lie algebroids, BV quantization, and higher categorical methods.

• YouTube
• 1 day 10 hours 22 minutes
• Self-Paced
• Free Video

Topology, Disorder, and Hydrodynamics in Non-equilibrium Quantum Matter

Explore cutting-edge quantum many-body physics through expert lectures on topology, disorder, and hydrodynamics in non-equilibrium systems from leading researchers.

• YouTube
• 10 hours 23 minutes
• Self-Paced
• Free Video

Geometry for Higher Spin Gravity - Conformal Structures, PDEs, and Q-manifolds

Explore advanced mathematical frameworks connecting higher-spin gravity, conformal geometry, and quantum field theory through expert lectures on Cartan geometries, holography, and PDEs.

• YouTube
• 2 days 15 hours 48 minutes
• Self-Paced
• Free Video

Between Geometry and Relativity - Summer School

Explore advanced mathematical physics connecting differential geometry with Einstein's general relativity through expert lectures on initial data construction, energy theorems, and spacetime dynamics.

• YouTube
• 14 hours 42 minutes
• Self-Paced
• Free Video

Focus Week on Topological Matter - Week 1

Explore advanced mathematical frameworks in topological matter through expert lectures on symmetry-protected phases, fractonic systems, and higher category theory applications.

• YouTube
• 12 hours 40 minutes
• Self-Paced
• Free Video