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

Kinematic Varieties I - Massless Particles

Explore kinematic varieties and their applications to massless particles in this advanced mathematics and physics lecture by renowned algebraist Bernd Sturmfels.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

On the Mirror Langevin Diffusions

Explore Mirror Langevin Diffusions, a new family of diffusions on Hessian manifolds connecting Wasserstein gradient flows, Schrödinger bridges, and modern sampling techniques.

• YouTube
• 36 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

Conformal Field Theory - Virasoro Algebra, Wess-Zumino-Witten Models, and W-Algebras

Dive into advanced conformal field theory through Virasoro algebra, W-algebras, Wess-Zumino-Witten models, and boundary conditions in this comprehensive mathematical physics workshop.

• YouTube
• 20 hours 2 minutes
• Self-Paced
• Free Video

Phenotype-Structured PDE Models for Chemotaxis Self-Organisation

Explore how phenotype structuring affects chemotactic populations through nonlocal PDE models, examining impacts on wave propagation and aggregation in biological systems.

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

Mean-Field Limits and the Multiscale Approach to Cell Movements

Explore mathematical models of collective cell movement under chemical stimuli, from discrete particle systems to macroscopic limits using mean-field theory and Wasserstein distance.

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